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Geometry Q&A Archive of September 7, 2021

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September 7 of 2021

Find simple answer to the series 2 (2k - 1).
43x + 2 P 7 2x + 5 H 3x L 12 A Fy+4 S 41-42 Find the value of 43. Find the value of PH 44-45. Find the value of"y"
A (4y + 65) o(Ke) X 46-47. Find the value of "y". 48. Find the value of ZR. 49. Find the value of LC. 50. Find the value of LA.
point) Consider the solid obtained by revolving the region bounded by x2 + (y - 5)2 = 25 about the X-axis. Set up an integral for the volume with respect to x: Volume dx, where and b Set up an integral for the volume with respect to y: Volume is dy, where and d =
[LOpts] Determine if the lines L and L2 are parallel, skew, or intersecting: [If intersecting, find the intersection. (You must show this algebraically: Do not use a graph.)] [Spts] L1: Ut + tV and L2: W2 + SV2 where U1 = (1,2,3), V1 = (-2,1,2), U2 = (3,7,3), V2 = (-3,2,3). (b) [Spts] L1: €…
Solve for .: 15) Q 13x + 5 221 110 & 70 R
Area of Triangles and Trapezoids 20 ft 18 ft 25 ft 28 ft Find the area of the trapezoid shown above. [?] square feet Hint: The formula for the area of a trapezoid is: (b1+b2)/2 * h
Find the messure 0f each angle indicated 66" 149 Mid € 10) 11) 889 100" 859 850
Given: N is the midpoint of MP, QN − SM, RN − SP, and QN ≅ RN Prove: ∆MSP is isosceles Statements (1) QN − SM and RN − SP (2) ∠MQN and ∠PRN are right angles (3) N is the midpoint of MP (4) MN ≅ PN (hypotenuse) (5) QN ≅ RN (leg) (6) ∆MQN ≅ ∆PRN (7) ∠M ≅ ∠P (8) SM ≅ SP (9) ∆MSP is isosceles
Solve for x: Each figure is a parallelogram. 25x + 5 4 - 1 14 - 9 10 + 16 221 - 3 + 3 5
Solve for x: 12 13 237 + 7C8 25 < 850 1050 2 + 3 14
Given: RS and TV bisect each other at point X TR and SV are drawn Prove: TR || SV
Parallelograms Homework 1. Given JM = 27, ML = 16, JL = 46, NK = 15, m∠KLM = 48°, m∠JKM = 78°, and m∠MJL = 22°, find each missing value. KL = JK = MK = NL = m∠JKL = m∠KLJ = m∠KMJ = m∠KJL = 2. If PQRS is a parallelogram, find the values of x and y. x = y = If ABCD is a parallelogram,…
AQRS has its vertices at Q = (-4,-1), R = (2, 3), and S = (-2, 5). a) Sketch the triangle on the given axes. (2 points) b) What is the midpoint of QR? Draw and label that midpoint on the graph. (4 points) c) Find the equation of the altitude to QR. Draw and label that altitude on the figure. (6…
Consider quadrilateral CREB made up of squares COAB and OREA where AE = 4. Assume squares COAB and OREA are congruent: Dalantine 11e takie; ol m and once r6 Isnjn 0i RIn 14 quadrilateral CREB.
If PQRS is a rectangle, ST = 12, and m∠PRS = 23°, find each measure. a) SQ = b) PR = c) m∠QPR = d) m∠PSR = e) m∠SQR = f) m∠PTQ = If JKLM is a rhombus, MK = 30, NL = 13, and m∠MKL = 41°, find each measure. a) NK = b) JL = c) KL = d) m∠JKM = e) m∠JML = f) m∠MLK = g) m∠MNL = h) m∠KJL = If WXYZ…
The area of the obtuse triangle is 176 ft2. h =
Problem #1 (35 pts}: triangle has angle 0 = 1239, angle 8 = 32', side c = 10 inches and side a = 5 inches: Generate the graphical solution using a scale of 1" = 2" in portrait mode on engineering paper_ Determine both the measured and calculated values for angle a and side b.
Triangle LAP is reflected over the line y = x to form triangle LA'P' and then dilated by a scale factor of 2 with the center of dilation at vertex A' to form triangle L"A"P". What are the coordinates of point L"? A. (4,2) B. (9,4) C. (8,4) D. (15,2.5)
Area of Irregular Figures Find the area of this irregular figure: 12 m 15 m 5 m 5 m Square meters {Comoratiol Ail Rintfi Reicnal Enter
ABCD is a rhombus. The measure of ZB is (x + 10) and the measure of LD is 2x. Which statement explains why the equation x + 10 = 2x can be used to solve for x? A. All sides in a rhombus are congruent. B. A square is a type of rhombus. C. Opposite angles in a rhombus are congruent. D. Opposite…
Given: ABCD is a parallelogram Prove: ┳ BCD ≅ ┳ DAB Statement Reason 1. ABCD is a parallelogram Given 2. ┳ BCD ≅ ┳ DAB Alternate interior angles of a parallelogram are congruent 3. ∠ ADB ≅ ∠ DBC; ∠ ABD ≅ ∠ LDCB Corresponding angles of a parallelogram are congruent 4. ┳ BCD ≅ ┳ DAB Transitive…
ABCD is a parallelogram. mLDCE is 63° and mLDAB is 115°. a) What is the mLEDC? b) What is the mCBE? c) What is the mBEC? 3) What is the mDCE? b) What is the mLCBE? c) What is the mBEC? mEDC is 22° and mDAB is 135°. ABCD is a parallelogram.
Question 2 10 pts represents 2.767*10-3 in standard notation? 002767 2.767 2767. 02767
Which law would YOU Use? Find b, a = 42, c = 60, ZB = 58" Law of Sines AAS Law of Cosines SAS SSS Law of Sines ASA Law of Sines SSA
Solve for the missing angles!
What additional information is needed to prove that the two triangles are congruent by SSS? What additional information is needed to prove that the two triangles are congruent by SSS? HG = VT MF # VT LG 2ZV LF = LT SN # MM EN - IN LM # LS LLNS = LLNM Determine if the triangles below are…
Given: mA-mz and m22-mz_ Prove: AB || CD (Hint: Look at partitioning lesson) In the following, it is known that MPQ = 41° and PR bisects ZQPN. Proof: MN II PR Given: AD || BC and AD = BC. Prove: AB || DC
Question 8 10 pts Given the following polar coordinates give the Cartesian coordinate X Note: r > 0 and0 < 0 < 21 Remember to consider the quadrant in which the given point is located when determining 0) for the point: (r,0) =(6.5 ,0.9 ) What is x? Question 9 10 pts
You can map ABCDE to JKLMN by a reflection followed by a dilation centered at the origin followed by translation. The reflection is (#). The dilation is (#). The translation is 6".
Congruent angles are angles that are equal in measure. Opposite angles in a parallelogram are congruent. A parallelogram has two pairs of opposite angles. Quadrilaterals have four angles, and the sum of the measures of the angles in a quadrilateral is 360 degrees. Two consecutive angles in a…
Write a two-column or paragraph proof: Given: AMJK = AKLM Given: WJKL is a parallelogram Given: TB = CD, BC = TF Given: ∠LAFD = ∠LADF Prove: ABCD is a parallelogram
The Transformation
Map AABC to APQR by reflection followed by 4 translations. The reflection is 69. The translation is #.
16) What is the value of x: Justify your answer using geometric properties (Tx 20)8 (4x + 16)0
Coordinate Geometry Given points M(3,3), N(6,2), and O(4,4). Give the coordinates of the image under the given reflection: 7. Ry-axis 8. Rz-axis 9. Rx=1 10. Ry=-2 12. Ry=-x 11. Ryy
Assume m∠358. Find the measure of all of the other angles in the figure given line and line p are parallel: m∠LI m∠L3 = m∠Li = m∠S m∠7 m∠26 m∠LB
Consider the following. Use a protractor to measure the angle. ° Classify the angle as straight, acute, right, or obtuse. straight acute right obtuse
Given: FH ≅ GE, ∠HFG ≅ ∠EGF Prove: FE ≅ GH
In the diagram of triangle ABC, point D is located on side AC such that BD = CD. If angle ZA measures 60 degrees and angle ZC measures 25.8 degrees, find angle B.
Parallel. The quadrilateral must contain a certain quadrilateral that has at least one pair of opposite sides. It is known to be a (1) trapezoid, (2) rectangle, (3) parallelogram, or (4) rhombus. If AC = 4x-8 and BE = x+2, then the length of ABCD, where diagonals AC and BD intersect, is in…
The HL Theorem, the ASA Postulate, and the SSS Postulate could all be used to prove that the bisector creates two congruent triangles.
For what values of x and y are the triangles below congruent by HL? a X=3, Y=4 b X=-2, Y=4 c X=2, Y=7 d X=3, Y=1
Question 2 of 13 Page 2 of 13 Question 2 (7 points) CmenicMnm L Tpoptr-DE" CEtrcrnebuadAAFC '0V 1on @CuDLs VityonLa- [nc [ubengwin Cohut[ the HL Theorem the ASA Postulate the SSS Postulate All of the above could be used to prove that the bisector creates two congruent triangles. Next Page Back
Look at triangle ABC below. A 3 cm D 8 cm C B What is CD? What is CD? ?32 ?24 ?26 ?38
Describc scalar field in your own words_ with an example (5 points)
Determine whether the quadrilateral is a parallelogram using the indicated method. IX-8 1) E(3, 6) F(7, 4) G(2, 3) Distance Formula 3te 1-1, 6), M(5, 9), A(0, 2). FX-8 .2) [Slope Formula 14. YES Distance and Slope Formulas 15. B(-2, 9) C(0, 5) DX(6, 4), E(4, -7) 15. TES
DETAILS PREVIOUS ANSWERS ALEXGEOM7 1.1.035, comparear_ Using two points A and B Consider points A, C, D, and E, not three of which lie on the same line.
Column Linear Pair Postulate Prove Alternate Interior Angles Theorem Segment QP ~ Segment QP Definition of Midpoint Segment RP ~ Segment RP Vertical Angles Theorem CPCTC Segment SP ~ Segment SP Same Side Exterior Angles Theorem Definition of Segment Bisector AA Congruency Corresponding Angles…
The perimeter of the rhombus ABCD has vertices A(-1,2), B(2,2), C(6,5), and D(3,20). The diagonals of square WXYZ intersect at the point (-4,2). If the line equation is that of the line that contains diagonal XZ, then which of the following is true? (T) Y = 2x + 10 (2) Y = -2x - 6
Reflect: Using the figures in the second example, describe a different sequence of transformations that maps AJKL to APQR. 10 10 12 14
Question 1 (5 points) Which of the following is a property of parallel lines? The sum of the angles is (n 2)*180. Alternate interior angles formed by the transversal are equal: The lines will always intersect each other: Consecutive angles formed by the transversal are equal.
ChcO Sodo DTl nu45676962448teneeinenl ~ouases' GROUPS RESOURCES Grades Ms Babb: Geometry Math and Science Teacher Check Out 35Trvint (We Are Helping You Out) Question (50 points): Solve for the missing angle. 850 350 Question E Triangle RSU 15 is an…
Find the surface area of the composite flgure: cin 7 cm ci I cm 7 cm cin cin SA [2] cm?
ALEXGEOMT 1.1.041. Consider the following figure: Let AB = a and BC = b. Point M is the midpoint of BC. If AN = √(AB), find the length of MM in terms of √(a) and b.
4. (09.02 MC) Kite DCFE is inscribed in circle A shown below: If the measure of DEF is 2669 what is the measure of DEF? points)
Find the surface area of the composite figure. 20 in. 11 in. 11 in. 9 in. 5 in. 12 in. 20 in. 5 in. 12 in. SA = [ ? ] in.2
Consider that in the following figure, M is the midpoint of AB, AM = 3(x + 1), and MB = 4(x - 3). Find x and AB.
Consider the following figure: Let AB be a line segment and BC be another line segment. Point M is the midpoint of BC. If AN is the square root of AB, find the length of MM in terms of 4 and AN. Need Help? [Read]
Proving Triangles Congruent SSS SAS AAS, ASA or HL Sort in order (6 Points) Pay attention to how the numbers are laid out!
In the diagram, rectangle ABCD has vertices whose coordinates are A(7,1), B(9,3), C(3,9), and D(1,7). Which transformation will not carry the rectangle onto itself? 1) a reflection over the line y = x 2) a reflection over the line y = -x + 10 3) a rotation of 180° about the point (6,6) 4) a…
Find the measure of angle 1and 2. 6 points W Tx 115 2 Your answer
Find the perimeter of the larger pentagon in the diagram (10 pentagons) given below. Perimeter of the Larger Pentagon =
Given: AB - CE = DE Prove: BX = DX Statements: 1) BA = DE 2) ∠CBA = ∠CED 3) ∠M = ∠LBAE = ∠LDEA 4) ∠LABE = ∠EDA 5) ∠LBXA = ∠LDXE 6) LBXA = ADXE 7) BX = DX Proof: 1) Given: AB - CE = DE 2) Given: BA = DE 3) Given: ∠CBA = ∠CED 4) Given: ∠M = ∠LBAE = ∠LDEA 5) Given:…
State the postulate or theorem that proves that the triangles are congruent. If the triangles cannot be proven congruent, write not possible. (PS6LT2)
IAB LEDF and DE IACI then AABC ADEF. [4] IDF is the Side-Angle-Side similarity criterion for triangles. Show that if ZBAC is a right angle, then ZBDF is also a right angle.
Question 13 (1 point) In rectangle KLMN, KM = IOx + 24 and LN = 64. Find the value of x.
In the above diagram, the triangle ABC is a right triangle if |FC| = |BC|. |BC| = |AB| + |DE| and |CE| = 7. Then |DB| = 14.
Let G be a solid bounded above by the plane z = 3 and below by the plane z = 0, and within the surfaces x = 2y and y = 2x. Sketch the projection of the solid G on the xy-plane. [3 Marks] Evaluate the integral ∬(3xy)dV. [Marks]
If ACDE is similar to AWXY with a scale factor of 4/3, find the perimeter of AWXY.
5 points Solve for x (Round your answer to the nearest tenth:) 49 m 44 m
13B 10x + 1 14x - 4 X^2 EF = Your answer This is unformatted plain text BC = Your answer
1. Tatio tnangesn trafigurebeowar smar Find the Feldx E F2
Prove Triangles Congruent. Determine if the two triangles are congruent. If they are, state how you know. State what additional information is required in order to know that the triangles are congruent for the reason given: 9) AAS 10) ASA
In quadrilateral PQRS, the exterior angle at Q measures 155° and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram?
11 PQ is a tangent to the circle ABCD. If ∠QAB = ∠PAC and ∠CAD = ∠QAD = 30°, show that (a) AD = CD; (b) BDA is a semicircle; (c) ∠BXC = 90°.
10. In the figure, EAF is the tangent (0 the circle at A. CD bisects ACB and CD Il FE. If ABC = 50% , find DCB.
Use the Laplace transform to solve the DE y'' - 3y + 2y = 2 - It, y(0) = 1, y'(0) = 5.
Given: BD bisects AC and BD is perpendicular to AC. Prove: Triangle ABE is congruent to Triangle CBE. Statement Reason BD bisects AC Given BD is perpendicular to AC Given Angle AEB is a right angle Step
Text: Question & Ante Rnd tua ar28 0i AUVN: Show ALL work for FULL credit Edn Victor Inen Formal Took Table Parametric omdla Putetta
Determine which two of the three triangles are similar and find the scale factor for the pair. Is there enough information to determine whether the triangles are similar? If so, write a similarity statement and find the scale factor.
Consider the following figure. Using the protractor provided, estimate the measure of each angle to the nearest multiple of 5° (such as 35°, 20°, 25°, 108°).
In triangle ABC, b = 68 inches, angle B = 65°, and angle C = 93°. Find the length of side a, to the nearest inch.
Consider the following LP model: Max: P = 2Ox + 35y Constraints: Z^2 + y < 8 2y > 20 y > 0 y < 14 Graph the feasible region for the problem.
In this figure, Quadrilateral ABCD is similar to Quadrilateral EFGH. What is AD/EH in simplest form? AD/EH = [ ] (Type an integer or a simplified fraction.) (The figures are not shown to scale.)
13. In figure 2, CE = DE = AD = BD, the measure of angle ACB is 40°. Find the measure of angle DAB, which is 30°. 6 330 250 4 20" 14. In figure AB = AC and AE = AD, the measure of angle CAE is 20° and the measure of angle DAL is 468°. Find the measure of angle ACB. …
In Figure 2, CE-DE = AD = BD. The measure of angle ACB is 40°. Find the measure of angle EDA. b = 30° 250 4 = 209 FIGURE ? 12. In Figure CEDE, AD = BD. The measure of angle ACB is 40°. Find the measure of angle BDA. 135° h = 4209 130° 1250
AB, CD are two parallel chords of a circle with radius K. The center of the circle is outside of the two parallel chords. The measure of AB is 24 and the measure of CD is 10. The distance between these two chords is 6√4. AB CD chords of a circle intersect outside the circle. The measure of…
Question 11 Given: CA ≅ BA, AD ⊥ CB Prove: CD ≅ BD CA = BA, AD is perp. to CD - Given Angle ADC = Angle ADB equal 90 degrees - Definition of perpendicular Angles AD = AD - Reflexive Property Triangle ADC = Triangle ADB - HL CD = BD - CPCTC
RST is the tangent (0 the circle at $. Find the value of xand of y in each case.
Given that 0i is the center of the circle, what is the value of Julo in OJal?
Text: IMG_7820 0 7J documents total pace deltamath.com Given: IS the midpoint of AC LAED > ZCFD and ZEDA e ZFDC Prove: AAED = ACFD Statement Reason Given Type 01 Statement Step
Topic: Angle relationships Match the diagrams below with the best name or phrase that describes the angles. a. Alternate Interior Angles b. Vertical Angles c. Complementary Angles d. Triangle Sum Theorem e. Linear Pair f. Same Side Interior Angles
10/12 In what type of triangle is the incenter; centroid, circumcenter or orthocenter collinear? Show proof with pics
Given: MO = MP, LMN is a line; mZPMN = 40°. Find: mZPMO; mZOML. 2. Given: ZABE and ZEBC form a linear pair; mZEBC = 40°; ZABD = ZDBE. Find: mZABD; mZDBE.
In the figure shown, ∠BXD is a right angle and ∠AXE is a straight angle. If m(∠BXC) = 45° and m(∠BXE) = 140°, explain how you can determine the measures of ∠AXB, ∠CXD, and ∠DXE without using a protractor. 15. The lines l and m are parallel. Find the measures of the numbered angles shown.
Measure the length of AB (a) to the nearest inch. (b) to the nearest half centimeter. 2. Use your protractor to find the measure of each angle: (a) (b)
Examine the figure below. Note: Figure not drawn to scale. If AD = 16, DB = 4, and AE = 24, what is the length of EC? 6 12 30 96
Convert the angle ̘ = 230° to radians. Express your answer exactly. ̘ = radians Show Calculator Stuck? Watch a video or use a hint.
(b) Use vectors to prove that the segments joining the midpoints of opposite sides of a quadrilateral bisect each other (diagram below) (Hint: Start by showing that the midpoints of these segments are the terminal points of {(2i + 7+ 2) and (27 + & + 1)
Radians You might nee 17T Convert the angle 0 radians to degrees 18 Express your answer exactly: Show Calculator Stuck? Watch a video or use a hint.
8. If ABCDE FGHIJ; AC = Cm, FH = 10 cm, and area of ABCDE 320 cm-, then area of FGHIJ
The ratio of the corresponding midsegments of two similar trapezoids is 4:5. What is the ratio of their areas?
In the diagram; rectangle ABCD has 5 points vertices whose coordinates are A(7,1) , B(9,3). C(3.9) , and D(1,7). Which transformation will not cany the rectangle onto itself? reflection over the line y =x 2) reflection over the liney=-+ 10 3) rotation of 180? about the point (6,6) 4 rotation…
12-80' = 1) = (-2)' Vertex: Focus: Equation of Directrix:
Solve for x and the missing angles: Given: LABC is a straight angle: Find mZABX and mZCBX (14x + 70)° = (20x + 8)°
For questions 1 – 4, answer the questions about congruent triangles. 1. Given that ∆ABC ≅ ∆FGH , which angle is congruent to ∠B? 2. Given that ∆DEF ≅ ∆LMN , which angle is congruent to ∠F? 3. Given that ∆PQR ≅ ∆XYZ , which side is congruent to QR? 4. Given that ∆EFG ≅ ∆JKL , which side is…
Title: Calculation of Line Segments and Equations Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent. Show all work. Find EI: (2x-13)(4) = (6x6) 8x-52 + 52 - 1296 + 52 = 8x-1348 8x-1348 / 8 = x-168.5 Find…
Text: omon 30212 J-8 20 X=44y 30= 202 #65 2:+6 6z 2= 2.5 20 J6 4,444 Given AB that 4C, find BD; BD CE Xl.25 J6x = )zo <211.25 7. 8 and 20 Find the Geometric mean of the two numbers; 3 and 27, 7 and 28 The Geometric mean of n and 16. Find the value of n. The Geometric…
10 points) Use the diagram and given information to find mZBOC and mZAOD: mLAOB = mLB0C = 41°, mLAOD = 61°.
Practice Problems Find the value of x in each figure below: Note: Figures are not always drawn to scale: Assume that lines that look Iike tangents are actually tangents
Practice Problems Find the value of x in each figure below: Note: Figures are not always drawn to scale: Assume that lines that look Iike tangents are actually tangents
Practice Problems Find the value of x in each figure below: Note: Figures are not always drawn to scale: Assume that lines that look Iike tangents are actually tangents
Check or Understanding Tool to complete @eton nc Study on Communicating bisectors using Joint Mathematics Then use Multi-Step Approach to solve the given problem. Let's take the example of triangle ABC, where AE bisects BC. If m∠ABC = 24, what is m∠ABE? Find m∠ABC if m∠ABE = 55. What is…
Practice Problems Find the value of x in each figure below Note: Figures are not always drawn scale: 1408 809
The real estate term "lake frontage" refers to the distance along the edge of a piece of property that touches a lake. Determine the percentage of lake frontage of Lot B to the nearest tenth, where: LAKE Lot A Lot B Lot C 45 yd 55 yd 192 yd 62 yd
In the diagram, segment JK = 8. The perimeter of triangle JHK = 18. What is HK? 6 HA 40
1. Prove that the triangles are congruent or explain why this is not possible. 2. The two triangles in the figure below are congruent by SSS. What is the value of x? 5x + 1 2x + 13
What is the missing length? 8 17 15 30
Verify that QR and MN are parallel. The length of segment MQ = 2.7, NR = 3, PQ = 9 and PR = 10. PM/MQ = [ ] and PN/NR = [ ]. PM/MQ (select) PN/NR. So, QR and MN are (select).
In the end, find the square root and round it to the nearest hundredth place if necessary. 15
Given: 2124; and 25 form a neat pair Prove: 21 and 25 are supplementary Statements: 1. Definition of Congruent Angles 2. Given: 21 and 22 form a neat pair 3. 21 and 22 are supplementary (substitution) Reasons: 1. Definition of Supplementary Angles 2. Given: 21 and 22 form a neat pair 3. 21…
The first 4 positions the Butting order: How Coach LCC has picked out the top matter to put in. Many ways can he order the power / points.
What are the coordinates of the vertices of the following rhombus centered at the origin, with SW = 2r and TZ = 2t? W(r, -1), T(-r, -t), S(-1, 0), 2(-r, -t), O(2r, 0), T(0, 2t), 5(-2r, 0), 2(0, -2), W(r, 0), T(0, t), 8(-1, 0), 2(0, -1), O(0, 0), 7(0, 2t), 5(2r, 0), 2(2r, 2t)
After a reflection: point P = p Which statement is true about the location of point P if this occured? Choose: 0 The distance to point P above the line of reflection was the same as the distance t0 point P' below the line of reflection. Point P was On the line of reflection; Point P and P' were…
Which of the following are the coordinates of the vertices of the following square with sides of length a?
3x + 16 XL X 6 +Az 5y
Determine similar triangles: Angles ADEF only 48° 94° AIHG only Both Neither Stuck? Watch a video or use a hint: Report a problem Get 3 out of 4 questions to level up to Familiar Check
The sample space containing the numbers 1-20 is shown. Set A contains the multiples of 2, Set B contains the multiples of 3. Determine each probability. (points each) P(A) Set A Set B P(A ∩ B) P(A') How many different permutations can be formed using all the letters in the word MASSACHUSETTS?…
Question 1 2 pts An equilateral triangle has three congruent sides: If sides are congruent; the opposite angles are congruent: Conclusion: An equilateral triangle has three congruent angles Which Iaw of logic is used to make the conclusion? Law of Consistency None of the above Law of…
Given p: a figure has 4 sides q: it is a parallelogram Select the statements for which the truth values are TRUE. Conditional Inverse Converse Contrapositive
The volume ofa cone is 14 yd' . Ifthe height and radius of the cone are increased by a scale factor of 2, what is the new volume of the cone?
3. Which transformation is the orientation reversed? Choose: reflection rotation translation dilation
Find the surface area of the cylinder in terms of drawing not to scale. 382.5 cm²? 3330 cm²? 211.57 cm²? 504 cm²? CrarAu.
Uecezdl {eJad #CD LI MZSIU - (11 6) . MSU = (Zu - 8).&nd mlT 10 Edust .
Quadrilateral ABCD has vertices at: A(0,7), B(10,9), C(12,-1), and D(2,-3) (a) Find the midpoint of each diagonal of ABCD. Based on this result, what special type of quadrilateral is ABCD? Diagonal AC: Diagonal BD: (b) Calculate the slope of each diagonal of ABCD. Based on this result and (a),…
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC 16 and DC 5, what is the length of BC in simplest radical form? (Note: the figure is not drawn to scale.) 16 Answer: Submit Answer
In the diagram of 4PSR below, TQ = SR, PT = 5, TS = 20, and QR = 8. What is the length of PR?
Question 45. 2 pts EFCH is a rhombus. Find mLPEC. 110: MLFEG = 35° mLFEG = 90° M_FEG = 140° MLFEG = 70°
41. Find the center of the curve whose general equation is xy - 3x - 2y + 5 = 0. a. (3, 1) b. (2, 3) c. (2, 2) d. (3, 2)
Find the value of k and round the answers to the nearest hundredth, if necessary: 290, 11.43, 6.75, 54544, 4.05.
What is the equation of the locus of all points that are twice as far from the point (3,0) as from the point (6,6)? (x - 3)^2 + (y - 0)^2 = 4((x - 6)^2 + (y - 6)^2)
Find the equations of the circle whose center lies on the line 6z + Ty - 16 = 0 and which is tangent to each of the lines 8r + 15y + 7 = 0, 3r - 4y - 18 = 0. a. (r - 5)^2 + (u + 2)^2 = 1, (r - 3)^2 + (y + 9)^2 b. (r + 5)^2 + (y + 2)^2 = 1, (r + 3)^2 + (y + 9)^2 (r + 5)^2 + (y + 20)^2 = 1, (r -…
Lct A(-2,-1) and B (-1, 1) be two points in 2D real space. For the given point P on the line, find the minimum distance |PAI| and |PBI|. a 5 b 6 c 7 d 3 e 3
Find the equations of the normal line of the hyperbola x^2/4 - y^2/22 = 8 at the point P (-2,1).
What is the equation of the locus of all points that are twice as far from the point (_3,0) as from the point (6,6)? 9)2 + (y _ 52 9)2 + (y _ 6)2 9)2 + (y _ 8)2 9)? + (y _ 8)? 9)? + (y + 6)?
Final Exam Let A(-2, -1) and B (-1, √1) be two points and 1 + 0 - 1 = 0 be a line in 2D real space. For any point P on the line, find the minimum distance |PA| + |PB|. a) 0 b) 3 c) 5 d) 3√2 e) 6
Find the equations of the normal line of the hyperbola 32? 4y} = & at the point P (-2,1). A1 3y + 7 = 0 1 + 3y + 5 = 0 31 _ %y + 8 = 0 Br + %y + 4 = 0 '1 + 3y + 1 = 0
Find the equations of the asymptotes of the hyperbola 12 9y? 4r + 36y 41 =0. 3y _ 4 = 0, 3y | 8 = 0 3r + y - 4 = 0, 3r - y - 6 = 0 3y + 4 = 0, I + 3y _ 8 = 0 3r | y + 4 = 0, % y - 6 = 0 I _ 3y _ 8 = 0, I + 3y - 4 = 0
Find the equations of the normal line of the hyperbola 3x^2 - 4y^2 = 8 at the point P (-2,1) 2x + 3y + 1 = 0 2x + 3y + 5 = 0 3x + 2y + 4 = 0 3x + 2y + 8 = 0 2x + 3y + 7 = 0
What factor will C Mua| rauelius of tu citck tluut ["LSF through tu point: (1,4),(4,0) M (2=)" (4) Gercegini ac
The line I - Zy + 1 = 0 intersects the circle 1 + y^2 + 4r - Zy + 5 = 0 at the points p (a,6) and (c, d). Find the value of a + b + |d.
What is the equation of the locus of all points that are twice As far from the point (~3,0) : the point (6.6)2
Find the length of each latus rectum cf the given ellipse 42 9y? + 371 - 18y + 37 = 0 a. 1 3 e. 3
Let A(-2,-1) and B(-1, ~ !). If (wo points Iul M= | 0 Iua Iiuo %D wl Huut Fu !le IUIV point P ( tle Iiue , litul (lue miuiuu dlistumce |PAL pM , 0 8 Sv2 0 0 3 cSwp 0 0 6 0 e 5 Gercegini ac
Find the equation values of m for which the lines of the family hyperbola 42y = mt - [ are tangent to the 9y^2 = 36.
Find the area of the circle with radius r = 10. Use the formula A = Ï€r^2. Then, solve the equation (x + 5)^2 + (u + 2) = 1. Simplify the expression (r + 3)^7 + (-9)^-1. Solve the equation (r - 5)^2 + (u + 2) = 1. Simplify the expression (r + 3)^7 + (-9)^-1. Finally, solve the equation (-7)^2 +…
Find one of the equations of the tangents drawn from the point (3,-1) to the elliptic 21x^2 + 34y^2 + √5 = 0, I 2x-1 = 0 I -u - t = 0 f + x - 2 = 0 25x^2 - 7 = 0 2x + √-2 = 0 Gercegini ac
Find the locus of the points which are the intersection points of the planes I + y + √5 = 0, 2x + 2y + 2√2 = 0, and x + y + 4√3 = 0 in R3. 1 - I = 0 - 4 = 2 -1 = 0 - 4 = -2 1 - I = 4 - 0 = 2 I - 1 = y - 4 1 - I = 4 - √2 = 2 + 1
Find the locus of the points which are the intersection points of the planes x + 3y + 2z - 5 = 0, 2x - 2y + z + 2 = 0, and 5x - y + 4z - 1 = 0 in R^3. 0a. x - 0 = 4 - √{-1} 0b. x - 1 = y - 4 : 1 - √{-1} 1c. x - 4 = √{-1} 1d. x = 0 - 4 : √{-1}
A plane passing through the intersection of the planes 2y + x - 1 = 0 and 2x + y + 2 = 0 is parallel to the line 4x + 3y - 2 = 0. Find the equation of the plane.
A plane passing through the intersection of the planes I 2y | 2 - 1 = 0 and 2r | y - 2 + 2 = 0 Y+ parallel to the line Find the equation of the plane_ 21 + lly 7z _ 8 = 0 21 + y - 22 | 5 = 0 21 | lly 72 | 8 = 0 2r + y - 22 -5 =0 2r + lly 7z + 10 = 0
A hyperbola has its center at the origin and its conjugate axis coincident with the X-axis. The length at each latus rectum is and the hyperbola passes through the point (~ 1,2). Find its equation. y^2 - 5x^2 = -1 Y - 3 = 1 y - 2 = 2 Y - 3 = 3 3x^2 - 2y = -5
Text: Plane passing through the intersection of the planes I = Zv+:-[=0 and ? +V-:+2=0, parallel to the line ! ~_ "te 272. Find the equation of the plane: 2r - 2 + 5 = 0 21 + V - 2 - 5 = 0 2r + Mv - 7 - 8 = 0 "5 + My 72 | 8 = (
Find the length of each latus rectum of the given ellipse 4x^2 + 9y^2 + 32x - 18y + 37 = 0 a. 2 b. 3
The hyperbola has its center at the origin and its conjugate axis coincident with the y-axis. The hyperbola passes through the point (74, An IEln Kareas). The length of each latus rectum is equal to the equation 0 a 31 - "2u" 95 ODD V_i.
Find the length of side x in simplest radical form with a rational decimal.
Given ABCD is a parallelogram. Note: DF, AF, and BC are segments. AD is definitely parallel to BC and AB is definitely not parallel to DC. ABED might be a trapezoid.
Point C(-4, 2) is translated by 7 units to the right and 4 units up to image point C'. Point C' is then translated to the point C"(8, -3). Describe the translation rule used to map point C' to point C". [Use of the grid is optional.]
Find the value of x X= [?] DD
Find the value of x. 25 10 X = [?] Enpe [ tncrmn
Write the slope of a line that is perpendicular t0 the line below Y =ax+3 5
Congruent angles added to congruent angles form congruent angles Congruent angles subtracted from congruent angles form congruent angles Angles that are each half the measure of congruent angles are congruent Angles that are each twice the measure of congruent angles are congruent
5. Find the length of midsegment TZ in trapezoid ABCD when A(-5,-6), B(-6,-2), C(-4,0), and D(4,2):
Calculate the rise and nun between any two coordinates to Ind tne slope of each line.
A cable is installed around two edges of the rectangular field that is 860 feet long and 340 feet wide, as shown below. Suppose the cable costs $2100 per foot to install. Round all answers to the nearest hundredth. a. How much did it cost to run the cable along the two edges of the field? b.…
Find the smallest integer value of x for which ZQ would be classified as obtuse. Justify your answer.
Using segment QR shown below, construct equilateral triangle QRS. Leave all construction marks.
Solve for each triangle, M, given the midpoints of the sides. Find the missing length indicated. Find RQ. Indicate 26.
Are the lines L1 and L2 passing through the given pairs of points parallel; perpendicular or neither? LI: (8, -5) and (14, -3) L2: (9, 10) and (10, 13)
The midpoint formula: X1 + X2 / 2, Y1 + Y2 / 2 midpoint Find the midpoint of the line segment with the given endpoints: (-1,4) and (-2, -8)
Given quadrilateral ABCD with vertices A(o, 2), B(2, 4), C(7, 5), and D(o, -2) The length of AD is The slope of AD is The length of AB is The slope of AB is The length of BC is The slope of BC is The length of DC is The slope of DC is ABCD is a The equation of the line parallel to DC that…
Answers 25 simplified radical solve NOT use trig functions to = 'no lnt s other missing sides: DO of the triangle; find the Given one side 608
Two sides and three vertices of an Isosceles trapezoid are shown below. The fourth vertex is in the first quadrant. Draw the remaining two sides.
You are making a kite. You want the measure of angle D to be greater than 90 degrees but less than 95 degrees. What are the possible measures of angle G? T10' TZG
Given that lines are parallel and m∠3 = 105°, which of the following angles also measure 105°? Select all that apply. Identify the relationship between the two angles shown below (Corresponding, Alternate Interior, or Same-Side Angles). Then, solve for x. Identify the relationship between the…
u & v parallel. Find the value of x that makes v parallel. Find the value of % that makes v parallel.
Which side of VXS matches SQ? AQRS = 4vXS Which angle on UHI matches LW? AVWU = LUHI SQ = 3? LW = a? Based on the triangle sum theorem, solve for x Based on the triangle sum theorem, solve for * 659 4x + 10 409 Tr + 12 409
Given: ABCD is a rectangle and ∠CBE = ∠DAE Prove: ∠EBA = ∠EAB. Step Statement Reason 1. ABCD is a rectangle Given 2. ∠CBE = ∠DAE Given 3. ∠BEA = ∠DEC Vertical angles are congruent 4. AB || CD Opposite sides of a rectangle are parallel 5. Parallel lines cut by a transversal…
What additional information would be enough to prove that the two triangles are congruent by SAS? HG = ZX, IG = ZR, ZG = LX, LH = EZ XH = XY, JR = WP, LW = 4i, LH = LY Determine if the triangles below are congruent. If so, what properties are used in your logic? Determine if the triangles below…
Below is a reflection above. Complete the Lesson reasoning: congruent. Explain your determination whether the triangles are congruent.
Checkpoint below: Above, circle your choice. Complete the Lesson Reflection. Measure all of the other angles. Assume m∠2 = 35°. Find the measure of angle 6. Lines l and m are parallel. In the given figure, find the measures of angles 1, 2, 3, 4, 5, 6, 7, and 8. Assume m∠5 = m∠7.…
Given: ABCD is a square. Prove: AAC B ADBC Step Statement Reason ABCD is a square Given AC < BD Select Reason .= Note: AC and BD are segments.
Given quadrilateral ABCD with vertices A(o, 2), B(2,4), C(7, 5), and D(o, -2) The length of AD is The slope of AD is The length of AB is The slope of AB is The length of BC is The slope of BC is The length of DC is The slope of DC is ABCD is a The equation ofthe line ` parallel to DC that…
Given: 2PQ = PR Prove: Q is the midpoint of PR Statements: 1. 2PQ = PR 2. PQ + QR = PR 3. 2PQ = PQ + QR 4. PQ = QR 5. Q is the midpoint of PR Reasons: 1. Given 2. Segment Addition Postulate 3. Substitution Property 4. Subtraction Property of Equality 5. Definition of Midpoint
Explain the math mistake that was made with the square root symbol below. Topic 13: What is a diagonal? Then, test wrong = that is E. Calculate with 8 feet long the solution. How to correct perimeter: 53 presented? Long! Rv3 & cach 13 side 86 of the square? Perimeter = What is = 4(13 the 86)…
9.3.43 Ahousa is 17 ft tall. Its shadow is 40 ft long at the same time. The shadow of a nearby building is 340 ft long. Find the height of the building. The height of the building (Simplify your answer. Type an integer or decimal.)
Solve for f and g in the right triangle. Round answers to the nearest hundredth if necessary: 14 20 8 Show your work using the √ + key:
7. The two polygons shown are similar. Determine the value of y and z.
The perimeter of square JKLM Is 48 units- e7 What is the value of r?
Find simple answer to the series 2 (2k - 1).
43x + 2 P 7 2x + 5 H 3x L 12 A Fy+4 S 41-42 Find the value of 43. Find the value of PH 44-45. Find the value of"y"
A (4y + 65) o(Ke) X 46-47. Find the value of "y". 48. Find the value of ZR. 49. Find the value of LC. 50. Find the value of LA.
point) Consider the solid obtained by revolving the region bounded by x2 + (y - 5)2 = 25 about the X-axis. Set up an integral for the volume with respect to x: Volume dx, where and b Set up an integral for the volume with respect to y: Volume is dy, where and d =
[LOpts] Determine if the lines L and L2 are parallel, skew, or intersecting: [If intersecting, find the intersection. (You must show this algebraically: Do not use a graph.)] [Spts] L1: Ut + tV and L2: W2 + SV2 where U1 = (1,2,3), V1 = (-2,1,2), U2 = (3,7,3), V2 = (-3,2,3). (b) [Spts] L1: €…
Solve for .: 15) Q 13x + 5 221 110 & 70 R
Area of Triangles and Trapezoids 20 ft 18 ft 25 ft 28 ft Find the area of the trapezoid shown above. [?] square feet Hint: The formula for the area of a trapezoid is: (b1+b2)/2 * h
Find the messure 0f each angle indicated 66" 149 Mid € 10) 11) 889 100" 859 850
Given: N is the midpoint of MP, QN − SM, RN − SP, and QN ≅ RN Prove: ∆MSP is isosceles Statements (1) QN − SM and RN − SP (2) ∠MQN and ∠PRN are right angles (3) N is the midpoint of MP (4) MN ≅ PN (hypotenuse) (5) QN ≅ RN (leg) (6) ∆MQN ≅ ∆PRN (7) ∠M ≅ ∠P (8) SM ≅ SP (9) ∆MSP is isosceles
Solve for x: Each figure is a parallelogram. 25x + 5 4 - 1 14 - 9 10 + 16 221 - 3 + 3 5
Solve for x: 12 13 237 + 7C8 25 < 850 1050 2 + 3 14
Given: RS and TV bisect each other at point X TR and SV are drawn Prove: TR || SV
Parallelograms Homework 1. Given JM = 27, ML = 16, JL = 46, NK = 15, m∠KLM = 48°, m∠JKM = 78°, and m∠MJL = 22°, find each missing value. KL = JK = MK = NL = m∠JKL = m∠KLJ = m∠KMJ = m∠KJL = 2. If PQRS is a parallelogram, find the values of x and y. x = y = If ABCD is a parallelogram,…
AQRS has its vertices at Q = (-4,-1), R = (2, 3), and S = (-2, 5). a) Sketch the triangle on the given axes. (2 points) b) What is the midpoint of QR? Draw and label that midpoint on the graph. (4 points) c) Find the equation of the altitude to QR. Draw and label that altitude on the figure. (6…
Consider quadrilateral CREB made up of squares COAB and OREA where AE = 4. Assume squares COAB and OREA are congruent: Dalantine 11e takie; ol m and once r6 Isnjn 0i RIn 14 quadrilateral CREB.
If PQRS is a rectangle, ST = 12, and m∠PRS = 23°, find each measure. a) SQ = b) PR = c) m∠QPR = d) m∠PSR = e) m∠SQR = f) m∠PTQ = If JKLM is a rhombus, MK = 30, NL = 13, and m∠MKL = 41°, find each measure. a) NK = b) JL = c) KL = d) m∠JKM = e) m∠JML = f) m∠MLK = g) m∠MNL = h) m∠KJL = If WXYZ…
The area of the obtuse triangle is 176 ft2. h =
Problem #1 (35 pts}: triangle has angle 0 = 1239, angle 8 = 32', side c = 10 inches and side a = 5 inches: Generate the graphical solution using a scale of 1" = 2" in portrait mode on engineering paper_ Determine both the measured and calculated values for angle a and side b.
Triangle LAP is reflected over the line y = x to form triangle LA'P' and then dilated by a scale factor of 2 with the center of dilation at vertex A' to form triangle L"A"P". What are the coordinates of point L"? A. (4,2) B. (9,4) C. (8,4) D. (15,2.5)
Area of Irregular Figures Find the area of this irregular figure: 12 m 15 m 5 m 5 m Square meters {Comoratiol Ail Rintfi Reicnal Enter
ABCD is a rhombus. The measure of ZB is (x + 10) and the measure of LD is 2x. Which statement explains why the equation x + 10 = 2x can be used to solve for x? A. All sides in a rhombus are congruent. B. A square is a type of rhombus. C. Opposite angles in a rhombus are congruent. D. Opposite…
Given: ABCD is a parallelogram Prove: ┳ BCD ≅ ┳ DAB Statement Reason 1. ABCD is a parallelogram Given 2. ┳ BCD ≅ ┳ DAB Alternate interior angles of a parallelogram are congruent 3. ∠ ADB ≅ ∠ DBC; ∠ ABD ≅ ∠ LDCB Corresponding angles of a parallelogram are congruent 4. ┳ BCD ≅ ┳ DAB Transitive…
ABCD is a parallelogram. mLDCE is 63° and mLDAB is 115°. a) What is the mLEDC? b) What is the mCBE? c) What is the mBEC? 3) What is the mDCE? b) What is the mLCBE? c) What is the mBEC? mEDC is 22° and mDAB is 135°. ABCD is a parallelogram.
Question 2 10 pts represents 2.767*10-3 in standard notation? 002767 2.767 2767. 02767
Which law would YOU Use? Find b, a = 42, c = 60, ZB = 58" Law of Sines AAS Law of Cosines SAS SSS Law of Sines ASA Law of Sines SSA
Solve for the missing angles!
Given: mA-mz and m22-mz_ Prove: AB || CD (Hint: Look at partitioning lesson) In the following, it is known that MPQ = 41° and PR bisects ZQPN. Proof: MN II PR Given: AD || BC and AD = BC. Prove: AB || DC
Question 8 10 pts Given the following polar coordinates give the Cartesian coordinate X Note: r > 0 and0 < 0 < 21 Remember to consider the quadrant in which the given point is located when determining 0) for the point: (r,0) =(6.5 ,0.9 ) What is x? Question 9 10 pts
You can map ABCDE to JKLMN by a reflection followed by a dilation centered at the origin followed by translation. The reflection is (#). The dilation is (#). The translation is 6".
Congruent angles are angles that are equal in measure. Opposite angles in a parallelogram are congruent. A parallelogram has two pairs of opposite angles. Quadrilaterals have four angles, and the sum of the measures of the angles in a quadrilateral is 360 degrees. Two consecutive angles in a…
Write a two-column or paragraph proof: Given: AMJK = AKLM Given: WJKL is a parallelogram Given: TB = CD, BC = TF Given: ∠LAFD = ∠LADF Prove: ABCD is a parallelogram
The Transformation
Map AABC to APQR by reflection followed by 4 translations. The reflection is 69. The translation is #.
16) What is the value of x: Justify your answer using geometric properties (Tx 20)8 (4x + 16)0
Coordinate Geometry Given points M(3,3), N(6,2), and O(4,4). Give the coordinates of the image under the given reflection: 7. Ry-axis 8. Rz-axis 9. Rx=1 10. Ry=-2 12. Ry=-x 11. Ryy
Assume m∠358. Find the measure of all of the other angles in the figure given line and line p are parallel: m∠LI m∠L3 = m∠Li = m∠S m∠7 m∠26 m∠LB
Consider the following. Use a protractor to measure the angle. ° Classify the angle as straight, acute, right, or obtuse. straight acute right obtuse
Given: FH ≅ GE, ∠HFG ≅ ∠EGF Prove: FE ≅ GH
In the diagram of triangle ABC, point D is located on side AC such that BD = CD. If angle ZA measures 60 degrees and angle ZC measures 25.8 degrees, find angle B.
Parallel. The quadrilateral must contain a certain quadrilateral that has at least one pair of opposite sides. It is known to be a (1) trapezoid, (2) rectangle, (3) parallelogram, or (4) rhombus. If AC = 4x-8 and BE = x+2, then the length of ABCD, where diagonals AC and BD intersect, is in…
The HL Theorem, the ASA Postulate, and the SSS Postulate could all be used to prove that the bisector creates two congruent triangles.
For what values of x and y are the triangles below congruent by HL? a X=3, Y=4 b X=-2, Y=4 c X=2, Y=7 d X=3, Y=1
Question 2 of 13 Page 2 of 13 Question 2 (7 points) CmenicMnm L Tpoptr-DE" CEtrcrnebuadAAFC '0V 1on @CuDLs VityonLa- [nc [ubengwin Cohut[ the HL Theorem the ASA Postulate the SSS Postulate All of the above could be used to prove that the bisector creates two congruent triangles. Next Page Back
Look at triangle ABC below. A 3 cm D 8 cm C B What is CD? What is CD? ?32 ?24 ?26 ?38
Describc scalar field in your own words_ with an example (5 points)
Determine whether the quadrilateral is a parallelogram using the indicated method. IX-8 1) E(3, 6) F(7, 4) G(2, 3) Distance Formula 3te 1-1, 6), M(5, 9), A(0, 2). FX-8 .2) [Slope Formula 14. YES Distance and Slope Formulas 15. B(-2, 9) C(0, 5) DX(6, 4), E(4, -7) 15. TES
DETAILS PREVIOUS ANSWERS ALEXGEOM7 1.1.035, comparear_ Using two points A and B Consider points A, C, D, and E, not three of which lie on the same line.
Column Linear Pair Postulate Prove Alternate Interior Angles Theorem Segment QP ~ Segment QP Definition of Midpoint Segment RP ~ Segment RP Vertical Angles Theorem CPCTC Segment SP ~ Segment SP Same Side Exterior Angles Theorem Definition of Segment Bisector AA Congruency Corresponding Angles…
The perimeter of the rhombus ABCD has vertices A(-1,2), B(2,2), C(6,5), and D(3,20). The diagonals of square WXYZ intersect at the point (-4,2). If the line equation is that of the line that contains diagonal XZ, then which of the following is true? (T) Y = 2x + 10 (2) Y = -2x - 6
Reflect: Using the figures in the second example, describe a different sequence of transformations that maps AJKL to APQR. 10 10 12 14
Question 1 (5 points) Which of the following is a property of parallel lines? The sum of the angles is (n 2)*180. Alternate interior angles formed by the transversal are equal: The lines will always intersect each other: Consecutive angles formed by the transversal are equal.
ChcO Sodo DTl nu45676962448teneeinenl ~ouases' GROUPS RESOURCES Grades Ms Babb: Geometry Math and Science Teacher Check Out 35Trvint (We Are Helping You Out) Question (50 points): Solve for the missing angle. 850 350 Question E Triangle RSU 15 is an…
Find the surface area of the composite flgure: cin 7 cm ci I cm 7 cm cin cin SA [2] cm?
ALEXGEOMT 1.1.041. Consider the following figure: Let AB = a and BC = b. Point M is the midpoint of BC. If AN = √(AB), find the length of MM in terms of √(a) and b.
4. (09.02 MC) Kite DCFE is inscribed in circle A shown below: If the measure of DEF is 2669 what is the measure of DEF? points)
Find the surface area of the composite figure. 20 in. 11 in. 11 in. 9 in. 5 in. 12 in. 20 in. 5 in. 12 in. SA = [ ? ] in.2
Consider that in the following figure, M is the midpoint of AB, AM = 3(x + 1), and MB = 4(x - 3). Find x and AB.
Consider the following figure: Let AB be a line segment and BC be another line segment. Point M is the midpoint of BC. If AN is the square root of AB, find the length of MM in terms of 4 and AN. Need Help? [Read]
Proving Triangles Congruent SSS SAS AAS, ASA or HL Sort in order (6 Points) Pay attention to how the numbers are laid out!
In the diagram, rectangle ABCD has vertices whose coordinates are A(7,1), B(9,3), C(3,9), and D(1,7). Which transformation will not carry the rectangle onto itself? 1) a reflection over the line y = x 2) a reflection over the line y = -x + 10 3) a rotation of 180° about the point (6,6) 4) a…
Find the measure of angle 1and 2. 6 points W Tx 115 2 Your answer
Find the perimeter of the larger pentagon in the diagram (10 pentagons) given below. Perimeter of the Larger Pentagon =
Given: AB - CE = DE Prove: BX = DX Statements: 1) BA = DE 2) ∠CBA = ∠CED 3) ∠M = ∠LBAE = ∠LDEA 4) ∠LABE = ∠EDA 5) ∠LBXA = ∠LDXE 6) LBXA = ADXE 7) BX = DX Proof: 1) Given: AB - CE = DE 2) Given: BA = DE 3) Given: ∠CBA = ∠CED 4) Given: ∠M = ∠LBAE = ∠LDEA 5) Given:…
State the postulate or theorem that proves that the triangles are congruent. If the triangles cannot be proven congruent, write not possible. (PS6LT2)
IAB LEDF and DE IACI then AABC ADEF. [4] IDF is the Side-Angle-Side similarity criterion for triangles. Show that if ZBAC is a right angle, then ZBDF is also a right angle.
Question 13 (1 point) In rectangle KLMN, KM = IOx + 24 and LN = 64. Find the value of x.
In the above diagram, the triangle ABC is a right triangle if |FC| = |BC|. |BC| = |AB| + |DE| and |CE| = 7. Then |DB| = 14.
Let G be a solid bounded above by the plane z = 3 and below by the plane z = 0, and within the surfaces x = 2y and y = 2x. Sketch the projection of the solid G on the xy-plane. [3 Marks] Evaluate the integral ∬(3xy)dV. [Marks]
5 points Solve for x (Round your answer to the nearest tenth:) 49 m 44 m
13B 10x + 1 14x - 4 X^2 EF = Your answer This is unformatted plain text BC = Your answer
1. Tatio tnangesn trafigurebeowar smar Find the Feldx E F2
Prove Triangles Congruent. Determine if the two triangles are congruent. If they are, state how you know. State what additional information is required in order to know that the triangles are congruent for the reason given: 9) AAS 10) ASA
In quadrilateral PQRS, the exterior angle at Q measures 155° and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram?
11 PQ is a tangent to the circle ABCD. If ∠QAB = ∠PAC and ∠CAD = ∠QAD = 30°, show that (a) AD = CD; (b) BDA is a semicircle; (c) ∠BXC = 90°.
10. In the figure, EAF is the tangent (0 the circle at A. CD bisects ACB and CD Il FE. If ABC = 50% , find DCB.
Use the Laplace transform to solve the DE y'' - 3y + 2y = 2 - It, y(0) = 1, y'(0) = 5.
Given: BD bisects AC and BD is perpendicular to AC. Prove: Triangle ABE is congruent to Triangle CBE. Statement Reason BD bisects AC Given BD is perpendicular to AC Given Angle AEB is a right angle Step
Text: Question & Ante Rnd tua ar28 0i AUVN: Show ALL work for FULL credit Edn Victor Inen Formal Took Table Parametric omdla Putetta
Determine which two of the three triangles are similar and find the scale factor for the pair. Is there enough information to determine whether the triangles are similar? If so, write a similarity statement and find the scale factor.
Consider the following figure. Using the protractor provided, estimate the measure of each angle to the nearest multiple of 5° (such as 35°, 20°, 25°, 108°).
In triangle ABC, b = 68 inches, angle B = 65°, and angle C = 93°. Find the length of side a, to the nearest inch.
In this figure, Quadrilateral ABCD is similar to Quadrilateral EFGH. What is AD/EH in simplest form? AD/EH = [ ] (Type an integer or a simplified fraction.) (The figures are not shown to scale.)
13. In figure 2, CE = DE = AD = BD, the measure of angle ACB is 40°. Find the measure of angle DAB, which is 30°. 6 330 250 4 20" 14. In figure AB = AC and AE = AD, the measure of angle CAE is 20° and the measure of angle DAL is 468°. Find the measure of angle ACB. …
In Figure 2, CE-DE = AD = BD. The measure of angle ACB is 40°. Find the measure of angle EDA. b = 30° 250 4 = 209 FIGURE ? 12. In Figure CEDE, AD = BD. The measure of angle ACB is 40°. Find the measure of angle BDA. 135° h = 4209 130° 1250
AB, CD are two parallel chords of a circle with radius K. The center of the circle is outside of the two parallel chords. The measure of AB is 24 and the measure of CD is 10. The distance between these two chords is 6√4. AB CD chords of a circle intersect outside the circle. The measure of…
Question 11 Given: CA ≅ BA, AD ⊥ CB Prove: CD ≅ BD CA = BA, AD is perp. to CD - Given Angle ADC = Angle ADB equal 90 degrees - Definition of perpendicular Angles AD = AD - Reflexive Property Triangle ADC = Triangle ADB - HL CD = BD - CPCTC
RST is the tangent (0 the circle at $. Find the value of xand of y in each case.
Given that 0i is the center of the circle, what is the value of Julo in OJal?
Text: IMG_7820 0 7J documents total pace deltamath.com Given: IS the midpoint of AC LAED > ZCFD and ZEDA e ZFDC Prove: AAED = ACFD Statement Reason Given Type 01 Statement Step
Topic: Angle relationships Match the diagrams below with the best name or phrase that describes the angles. a. Alternate Interior Angles b. Vertical Angles c. Complementary Angles d. Triangle Sum Theorem e. Linear Pair f. Same Side Interior Angles
10/12 In what type of triangle is the incenter; centroid, circumcenter or orthocenter collinear? Show proof with pics
Given: MO = MP, LMN is a line; mZPMN = 40°. Find: mZPMO; mZOML. 2. Given: ZABE and ZEBC form a linear pair; mZEBC = 40°; ZABD = ZDBE. Find: mZABD; mZDBE.
In the figure shown, ∠BXD is a right angle and ∠AXE is a straight angle. If m(∠BXC) = 45° and m(∠BXE) = 140°, explain how you can determine the measures of ∠AXB, ∠CXD, and ∠DXE without using a protractor. 15. The lines l and m are parallel. Find the measures of the numbered angles shown.
Measure the length of AB (a) to the nearest inch. (b) to the nearest half centimeter. 2. Use your protractor to find the measure of each angle: (a) (b)
Examine the figure below. Note: Figure not drawn to scale. If AD = 16, DB = 4, and AE = 24, what is the length of EC? 6 12 30 96
Convert the angle ̘ = 230° to radians. Express your answer exactly. ̘ = radians Show Calculator Stuck? Watch a video or use a hint.
(b) Use vectors to prove that the segments joining the midpoints of opposite sides of a quadrilateral bisect each other (diagram below) (Hint: Start by showing that the midpoints of these segments are the terminal points of {(2i + 7+ 2) and (27 + & + 1)
Radians You might nee 17T Convert the angle 0 radians to degrees 18 Express your answer exactly: Show Calculator Stuck? Watch a video or use a hint.
The ratio of the corresponding midsegments of two similar trapezoids is 4:5. What is the ratio of their areas?
In the diagram; rectangle ABCD has 5 points vertices whose coordinates are A(7,1) , B(9,3). C(3.9) , and D(1,7). Which transformation will not cany the rectangle onto itself? reflection over the line y =x 2) reflection over the liney=-+ 10 3) rotation of 180? about the point (6,6) 4 rotation…
12-80' = 1) = (-2)' Vertex: Focus: Equation of Directrix:
Solve for x and the missing angles: Given: LABC is a straight angle: Find mZABX and mZCBX (14x + 70)° = (20x + 8)°
For questions 1 – 4, answer the questions about congruent triangles. 1. Given that ∆ABC ≅ ∆FGH , which angle is congruent to ∠B? 2. Given that ∆DEF ≅ ∆LMN , which angle is congruent to ∠F? 3. Given that ∆PQR ≅ ∆XYZ , which side is congruent to QR? 4. Given that ∆EFG ≅ ∆JKL , which side is…
Title: Calculation of Line Segments and Equations Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent. Show all work. Find EI: (2x-13)(4) = (6x6) 8x-52 + 52 - 1296 + 52 = 8x-1348 8x-1348 / 8 = x-168.5 Find…
Text: omon 30212 J-8 20 X=44y 30= 202 #65 2:+6 6z 2= 2.5 20 J6 4,444 Given AB that 4C, find BD; BD CE Xl.25 J6x = )zo <211.25 7. 8 and 20 Find the Geometric mean of the two numbers; 3 and 27, 7 and 28 The Geometric mean of n and 16. Find the value of n. The Geometric…
10 points) Use the diagram and given information to find mZBOC and mZAOD: mLAOB = mLB0C = 41°, mLAOD = 61°.
Practice Problems Find the value of x in each figure below: Note: Figures are not always drawn to scale: Assume that lines that look Iike tangents are actually tangents
Practice Problems Find the value of x in each figure below: Note: Figures are not always drawn to scale: Assume that lines that look Iike tangents are actually tangents
Practice Problems Find the value of x in each figure below: Note: Figures are not always drawn to scale: Assume that lines that look Iike tangents are actually tangents
Check or Understanding Tool to complete @eton nc Study on Communicating bisectors using Joint Mathematics Then use Multi-Step Approach to solve the given problem. Let's take the example of triangle ABC, where AE bisects BC. If m∠ABC = 24, what is m∠ABE? Find m∠ABC if m∠ABE = 55. What is…
Practice Problems Find the value of x in each figure below Note: Figures are not always drawn scale: 1408 809
The real estate term "lake frontage" refers to the distance along the edge of a piece of property that touches a lake. Determine the percentage of lake frontage of Lot B to the nearest tenth, where: LAKE Lot A Lot B Lot C 45 yd 55 yd 192 yd 62 yd
In the diagram, segment JK = 8. The perimeter of triangle JHK = 18. What is HK? 6 HA 40
1. Prove that the triangles are congruent or explain why this is not possible. 2. The two triangles in the figure below are congruent by SSS. What is the value of x? 5x + 1 2x + 13
What is the missing length? 8 17 15 30
Verify that QR and MN are parallel. The length of segment MQ = 2.7, NR = 3, PQ = 9 and PR = 10. PM/MQ = [ ] and PN/NR = [ ]. PM/MQ (select) PN/NR. So, QR and MN are (select).
In the end, find the square root and round it to the nearest hundredth place if necessary. 15
Given: 2124; and 25 form a neat pair Prove: 21 and 25 are supplementary Statements: 1. Definition of Congruent Angles 2. Given: 21 and 22 form a neat pair 3. 21 and 22 are supplementary (substitution) Reasons: 1. Definition of Supplementary Angles 2. Given: 21 and 22 form a neat pair 3. 21…
The first 4 positions the Butting order: How Coach LCC has picked out the top matter to put in. Many ways can he order the power / points.
What are the coordinates of the vertices of the following rhombus centered at the origin, with SW = 2r and TZ = 2t? W(r, -1), T(-r, -t), S(-1, 0), 2(-r, -t), O(2r, 0), T(0, 2t), 5(-2r, 0), 2(0, -2), W(r, 0), T(0, t), 8(-1, 0), 2(0, -1), O(0, 0), 7(0, 2t), 5(2r, 0), 2(2r, 2t)
Which of the following are the coordinates of the vertices of the following square with sides of length a?
3x + 16 XL X 6 +Az 5y
Determine similar triangles: Angles ADEF only 48° 94° AIHG only Both Neither Stuck? Watch a video or use a hint: Report a problem Get 3 out of 4 questions to level up to Familiar Check
The sample space containing the numbers 1-20 is shown. Set A contains the multiples of 2, Set B contains the multiples of 3. Determine each probability. (points each) P(A) Set A Set B P(A ∩ B) P(A') How many different permutations can be formed using all the letters in the word MASSACHUSETTS?…
Given p: a figure has 4 sides q: it is a parallelogram Select the statements for which the truth values are TRUE. Conditional Inverse Converse Contrapositive
The volume ofa cone is 14 yd' . Ifthe height and radius of the cone are increased by a scale factor of 2, what is the new volume of the cone?
3. Which transformation is the orientation reversed? Choose: reflection rotation translation dilation
Find the surface area of the cylinder in terms of drawing not to scale. 382.5 cm²? 3330 cm²? 211.57 cm²? 504 cm²? CrarAu.
Uecezdl {eJad #CD LI MZSIU - (11 6) . MSU = (Zu - 8).&nd mlT 10 Edust .
Quadrilateral ABCD has vertices at: A(0,7), B(10,9), C(12,-1), and D(2,-3) (a) Find the midpoint of each diagonal of ABCD. Based on this result, what special type of quadrilateral is ABCD? Diagonal AC: Diagonal BD: (b) Calculate the slope of each diagonal of ABCD. Based on this result and (a),…
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC 16 and DC 5, what is the length of BC in simplest radical form? (Note: the figure is not drawn to scale.) 16 Answer: Submit Answer
In the diagram of 4PSR below, TQ = SR, PT = 5, TS = 20, and QR = 8. What is the length of PR?
Question 45. 2 pts EFCH is a rhombus. Find mLPEC. 110: MLFEG = 35° mLFEG = 90° M_FEG = 140° MLFEG = 70°
41. Find the center of the curve whose general equation is xy - 3x - 2y + 5 = 0. a. (3, 1) b. (2, 3) c. (2, 2) d. (3, 2)
Find the value of k and round the answers to the nearest hundredth, if necessary: 290, 11.43, 6.75, 54544, 4.05.
What is the equation of the locus of all points that are twice as far from the point (3,0) as from the point (6,6)? (x - 3)^2 + (y - 0)^2 = 4((x - 6)^2 + (y - 6)^2)
Find the equations of the circle whose center lies on the line 6z + Ty - 16 = 0 and which is tangent to each of the lines 8r + 15y + 7 = 0, 3r - 4y - 18 = 0. a. (r - 5)^2 + (u + 2)^2 = 1, (r - 3)^2 + (y + 9)^2 b. (r + 5)^2 + (y + 2)^2 = 1, (r + 3)^2 + (y + 9)^2 (r + 5)^2 + (y + 20)^2 = 1, (r -…
Lct A(-2,-1) and B (-1, 1) be two points in 2D real space. For the given point P on the line, find the minimum distance |PAI| and |PBI|. a 5 b 6 c 7 d 3 e 3
Find the equations of the normal line of the hyperbola x^2/4 - y^2/22 = 8 at the point P (-2,1).
What is the equation of the locus of all points that are twice as far from the point (_3,0) as from the point (6,6)? 9)2 + (y _ 52 9)2 + (y _ 6)2 9)2 + (y _ 8)2 9)? + (y _ 8)? 9)? + (y + 6)?
Final Exam Let A(-2, -1) and B (-1, √1) be two points and 1 + 0 - 1 = 0 be a line in 2D real space. For any point P on the line, find the minimum distance |PA| + |PB|. a) 0 b) 3 c) 5 d) 3√2 e) 6
Find the equations of the normal line of the hyperbola 32? 4y} = & at the point P (-2,1). A1 3y + 7 = 0 1 + 3y + 5 = 0 31 _ %y + 8 = 0 Br + %y + 4 = 0 '1 + 3y + 1 = 0
Find the equations of the asymptotes of the hyperbola 12 9y? 4r + 36y 41 =0. 3y _ 4 = 0, 3y | 8 = 0 3r + y - 4 = 0, 3r - y - 6 = 0 3y + 4 = 0, I + 3y _ 8 = 0 3r | y + 4 = 0, % y - 6 = 0 I _ 3y _ 8 = 0, I + 3y - 4 = 0
Find the equations of the normal line of the hyperbola 3x^2 - 4y^2 = 8 at the point P (-2,1) 2x + 3y + 1 = 0 2x + 3y + 5 = 0 3x + 2y + 4 = 0 3x + 2y + 8 = 0 2x + 3y + 7 = 0
What factor will C Mua| rauelius of tu citck tluut ["LSF through tu point: (1,4),(4,0) M (2=)" (4) Gercegini ac
The line I - Zy + 1 = 0 intersects the circle 1 + y^2 + 4r - Zy + 5 = 0 at the points p (a,6) and (c, d). Find the value of a + b + |d.
What is the equation of the locus of all points that are twice As far from the point (~3,0) : the point (6.6)2
Find the length of each latus rectum cf the given ellipse 42 9y? + 371 - 18y + 37 = 0 a. 1 3 e. 3
Let A(-2,-1) and B(-1, ~ !). If (wo points Iul M= | 0 Iua Iiuo %D wl Huut Fu !le IUIV point P ( tle Iiue , litul (lue miuiuu dlistumce |PAL pM , 0 8 Sv2 0 0 3 cSwp 0 0 6 0 e 5 Gercegini ac
Find the equation values of m for which the lines of the family hyperbola 42y = mt - [ are tangent to the 9y^2 = 36.
Find the area of the circle with radius r = 10. Use the formula A = Ï€r^2. Then, solve the equation (x + 5)^2 + (u + 2) = 1. Simplify the expression (r + 3)^7 + (-9)^-1. Solve the equation (r - 5)^2 + (u + 2) = 1. Simplify the expression (r + 3)^7 + (-9)^-1. Finally, solve the equation (-7)^2 +…
Find one of the equations of the tangents drawn from the point (3,-1) to the elliptic 21x^2 + 34y^2 + √5 = 0, I 2x-1 = 0 I -u - t = 0 f + x - 2 = 0 25x^2 - 7 = 0 2x + √-2 = 0 Gercegini ac
Find the locus of the points which are the intersection points of the planes I + y + √5 = 0, 2x + 2y + 2√2 = 0, and x + y + 4√3 = 0 in R3. 1 - I = 0 - 4 = 2 -1 = 0 - 4 = -2 1 - I = 4 - 0 = 2 I - 1 = y - 4 1 - I = 4 - √2 = 2 + 1
Find the locus of the points which are the intersection points of the planes x + 3y + 2z - 5 = 0, 2x - 2y + z + 2 = 0, and 5x - y + 4z - 1 = 0 in R^3. 0a. x - 0 = 4 - √{-1} 0b. x - 1 = y - 4 : 1 - √{-1} 1c. x - 4 = √{-1} 1d. x = 0 - 4 : √{-1}
A plane passing through the intersection of the planes 2y + x - 1 = 0 and 2x + y + 2 = 0 is parallel to the line 4x + 3y - 2 = 0. Find the equation of the plane.
A plane passing through the intersection of the planes I 2y | 2 - 1 = 0 and 2r | y - 2 + 2 = 0 Y+ parallel to the line Find the equation of the plane_ 21 + lly 7z _ 8 = 0 21 + y - 22 | 5 = 0 21 | lly 72 | 8 = 0 2r + y - 22 -5 =0 2r + lly 7z + 10 = 0
A hyperbola has its center at the origin and its conjugate axis coincident with the X-axis. The length at each latus rectum is and the hyperbola passes through the point (~ 1,2). Find its equation. y^2 - 5x^2 = -1 Y - 3 = 1 y - 2 = 2 Y - 3 = 3 3x^2 - 2y = -5
Text: Plane passing through the intersection of the planes I = Zv+:-[=0 and ? +V-:+2=0, parallel to the line ! ~_ "te 272. Find the equation of the plane: 2r - 2 + 5 = 0 21 + V - 2 - 5 = 0 2r + Mv - 7 - 8 = 0 "5 + My 72 | 8 = (
Find the length of each latus rectum of the given ellipse 4x^2 + 9y^2 + 32x - 18y + 37 = 0 a. 2 b. 3
The hyperbola has its center at the origin and its conjugate axis coincident with the y-axis. The hyperbola passes through the point (74, An IEln Kareas). The length of each latus rectum is equal to the equation 0 a 31 - "2u" 95 ODD V_i.
Find the length of side x in simplest radical form with a rational decimal.
Given ABCD is a parallelogram. Note: DF, AF, and BC are segments. AD is definitely parallel to BC and AB is definitely not parallel to DC. ABED might be a trapezoid.
Point C(-4, 2) is translated by 7 units to the right and 4 units up to image point C'. Point C' is then translated to the point C"(8, -3). Describe the translation rule used to map point C' to point C". [Use of the grid is optional.]
Find the value of x X= [?] DD
Find the value of x. 25 10 X = [?] Enpe [ tncrmn
Write the slope of a line that is perpendicular t0 the line below Y =ax+3 5
5. Find the length of midsegment TZ in trapezoid ABCD when A(-5,-6), B(-6,-2), C(-4,0), and D(4,2):
Calculate the rise and nun between any two coordinates to Ind tne slope of each line.
A cable is installed around two edges of the rectangular field that is 860 feet long and 340 feet wide, as shown below. Suppose the cable costs $2100 per foot to install. Round all answers to the nearest hundredth. a. How much did it cost to run the cable along the two edges of the field? b.…
Find the smallest integer value of x for which ZQ would be classified as obtuse. Justify your answer.
Using segment QR shown below, construct equilateral triangle QRS. Leave all construction marks.
Solve for each triangle, M, given the midpoints of the sides. Find the missing length indicated. Find RQ. Indicate 26.
Are the lines L1 and L2 passing through the given pairs of points parallel; perpendicular or neither? LI: (8, -5) and (14, -3) L2: (9, 10) and (10, 13)
The midpoint formula: X1 + X2 / 2, Y1 + Y2 / 2 midpoint Find the midpoint of the line segment with the given endpoints: (-1,4) and (-2, -8)
Given quadrilateral ABCD with vertices A(o, 2), B(2, 4), C(7, 5), and D(o, -2) The length of AD is The slope of AD is The length of AB is The slope of AB is The length of BC is The slope of BC is The length of DC is The slope of DC is ABCD is a The equation of the line parallel to DC that…
Answers 25 simplified radical solve NOT use trig functions to = 'no lnt s other missing sides: DO of the triangle; find the Given one side 608
Two sides and three vertices of an Isosceles trapezoid are shown below. The fourth vertex is in the first quadrant. Draw the remaining two sides.
You are making a kite. You want the measure of angle D to be greater than 90 degrees but less than 95 degrees. What are the possible measures of angle G? T10' TZG
Given that lines are parallel and m∠3 = 105°, which of the following angles also measure 105°? Select all that apply. Identify the relationship between the two angles shown below (Corresponding, Alternate Interior, or Same-Side Angles). Then, solve for x. Identify the relationship between the…
u & v parallel. Find the value of x that makes v parallel. Find the value of % that makes v parallel.
Which side of VXS matches SQ? AQRS = 4vXS Which angle on UHI matches LW? AVWU = LUHI SQ = 3? LW = a? Based on the triangle sum theorem, solve for x Based on the triangle sum theorem, solve for * 659 4x + 10 409 Tr + 12 409
Given: ABCD is a rectangle and ∠CBE = ∠DAE Prove: ∠EBA = ∠EAB. Step Statement Reason 1. ABCD is a rectangle Given 2. ∠CBE = ∠DAE Given 3. ∠BEA = ∠DEC Vertical angles are congruent 4. AB || CD Opposite sides of a rectangle are parallel 5. Parallel lines cut by a transversal…
What additional information would be enough to prove that the two triangles are congruent by SAS? HG = ZX, IG = ZR, ZG = LX, LH = EZ XH = XY, JR = WP, LW = 4i, LH = LY Determine if the triangles below are congruent. If so, what properties are used in your logic? Determine if the triangles below…
Below is a reflection above. Complete the Lesson reasoning: congruent. Explain your determination whether the triangles are congruent.
Checkpoint below: Above, circle your choice. Complete the Lesson Reflection. Measure all of the other angles. Assume m∠2 = 35°. Find the measure of angle 6. Lines l and m are parallel. In the given figure, find the measures of angles 1, 2, 3, 4, 5, 6, 7, and 8. Assume m∠5 = m∠7.…
Given: ABCD is a square. Prove: AAC B ADBC Step Statement Reason ABCD is a square Given AC < BD Select Reason .= Note: AC and BD are segments.
Given quadrilateral ABCD with vertices A(o, 2), B(2,4), C(7, 5), and D(o, -2) The length of AD is The slope of AD is The length of AB is The slope of AB is The length of BC is The slope of BC is The length of DC is The slope of DC is ABCD is a The equation ofthe line ` parallel to DC that…
Given: 2PQ = PR Prove: Q is the midpoint of PR Statements: 1. 2PQ = PR 2. PQ + QR = PR 3. 2PQ = PQ + QR 4. PQ = QR 5. Q is the midpoint of PR Reasons: 1. Given 2. Segment Addition Postulate 3. Substitution Property 4. Subtraction Property of Equality 5. Definition of Midpoint
Explain the math mistake that was made with the square root symbol below. Topic 13: What is a diagonal? Then, test wrong = that is E. Calculate with 8 feet long the solution. How to correct perimeter: 53 presented? Long! Rv3 & cach 13 side 86 of the square? Perimeter = What is = 4(13 the 86)…
9.3.43 Ahousa is 17 ft tall. Its shadow is 40 ft long at the same time. The shadow of a nearby building is 340 ft long. Find the height of the building. The height of the building (Simplify your answer. Type an integer or decimal.)
Solve for f and g in the right triangle. Round answers to the nearest hundredth if necessary: 14 20 8 Show your work using the √ + key:
7. The two polygons shown are similar. Determine the value of y and z.
The perimeter of square JKLM Is 48 units- e7 What is the value of r?
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