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Geometry Q&A Archive of September 7, 2021

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September 7 of 2021

A cylinder has a radius of 12 inches: Its volume is 4,521.6 cubic inches. What is the the cylinder? height of Use _ 3.14 and round your answer to the nearest hundredth. h inches
In ΔPQR, point Z is the centroid and QY = 18. Based on this information, what is the measure of QZ?
In triangles AWXY and ARPQ, ZW = ZP and ZX = Z
A cylinder has a height of 9 inches and a diameter of 12 inches. What is its volume? Use I 3.14 and round your answer to the nearest hundredth. cubic inches
9 ft 9 ft 19.8 12 ft 9 ft 15 ft
AT is an altitude: ALAT = 4 √9. AT is a median: ALAT = 4 √9.
Subdividing right triangles Given a right triangle that has articles over a line segment from the base to the hypotenuse, the segment divides the original right triangle into two smaller right triangles. The angles of these smaller right triangles are related and determined by the specific…
Find KL_ Assume that segments that appear to be tangent are tangent: T-1 12
[C] Reduce the division where z = 4+ 3i, to the form a +bi, 0,6 € R: (Hint:The ensier is @ special type of compler number: )
[CG] Let A,B,C be the points (a,0). (0,6) . (0,0) respectively Use the distance formula to show that the midpoint M of the hypotenuse AB of the right ^ABC is equi-distant t0 the vertices MA MB MC_
Mall ut Culo Cle 1 Ctivi Iypin 0 N * 0 Neat 3 dranid 5 app nearpod con/presentation?pin-YTZSA A triangle ABC has an area of 52.7 ft². If it has side lengths where CA = 10 ft and CB = 17 ft, what would be the measure of the included angle C? Ready? Enter your answer here: Tog
List the angles of ADEF in order from smallest to largest: 35 20 50 LD, LE, LF LR, LE, LD ~D, LF, LE OzR, _D, LE
Use our new theorems to find the missing measures. The perimeter of AMUD is 36.6 cm. LD = Lu = 1. MD = 1. 9. Find the values of x and y. 1 = M4em 110 - 2x 3x
11. Developing Proof: What's wrong with this picture? Explain: 12. Developing Proof: What's wrong with this picture? Explain: 130" 25 cm 125" Hemt 48 cm
Question 3 235 mnt Niagara Falls Denver 178 mm 273 mm Orlando An airplane travels between three cities: Niagara Falls, Orlando, and Denver. If the plane begins at Niagara Falls, has a layover in Orlando before departing to Denver, what is the angle of its turn at Orlando? Round your answer to…
Question 1 3 pts In ASTU, u = 84 inches, t = 13 inches, and LT = 165 inches. Find the length of t, to the nearest inch: 8 = 13 4650 u = 84
Find the volume of the cylinder using the formula V = πr^2h. Use r = 9 in and h = 12 in.
Find the volume of the cylinder using the formula V = πr^2h. Use π = 3.14. 79,347.8 in^3 25,270 in^3 0 4176.2 in^3 0 8152.4 in^3
I2X - ( 0 JL 2) a Lm of AbCO are A(s;2) 8(x,6) , and c(8,3) 3) These vertices can be used to find the X+2i
PBC ~ ADBA 20 cm 16 cm Jc
In a right angled triangle with sides of length a, b, and c where c is the hypotenuse, b = 3.4 cm and c = 5.6 cm, what is the angle opposite side a? (make sure calculator is in degree mode.) 31° 53° 37° 1° 63°
5) Find the lateral area of the cylinder using the lateral area formula: LA = 2Ï€rhl 20 = ? An Ine IOt 20 In? AOI In?
Consider the transformations f : R² → R² with f(x,y) = (x-3, y+2) and g : R² → R² with g(x,y) = (x+5, y-1). 1) Find the compositions f ∘ g and g ∘ f. 2) Find the inverses f⁻¹ and g⁻¹.
Given: WX ≅ XY, XZ bisects ∠WXY Prove: ∆WXZ ≅ ∆YXZ Statements Reasons 1. WX ≅ XY, XZ bisects ∠WXY 1. Given. 2. ∠WXZ ≅ ∠YXZ 2. Definition of an angle bisector. 3. XZ ≅ XZ 3. 4. ∆WXZ ≅ ∆YXZ 4. Reflexive Property of ≅; SSS Symmetric Property of ≅; SSS Reflexive Property of ≅; SAS Symmetric…
1) 26 + 51 =16 2) 36 + V =18 3) 2(3v _ 5) = 14 4) 4(30 -2 =88 5) 2(3r + 1)=11 6) 6(3k + 5) = 39
Look at the isosceles triangle below. Determine which of the following angle measures are correct: (7x - 34)° m∠BCA = 58° m∠BCD = 58° m∠DCB = 122° m∠BAC = 48° (4x + 2)° In the figure below, ∠RQT and ∠RST are bisected, forming isosceles triangle QRS and QTS. What is the value of ∠RSQ? m∠RSQ =
Formula: SA = 2πrh + 2πr² Find the surface area of the cylinder using the given measurements: Height (h): 9 cm Radius (r): 7 cm
Find the area 30 yd 23 yd 17 yd
PU = 12, VT = 5, and VQ = 6. Which of the following is FALSE? In the figure below: RU = 12 0 B DP = 3 PR = 17 PV = 10 and HD = 18. Which of the following is FALSE? In the figure below, FE = 8, EH = FD = BE, BA = FD, EH = ED BE = 24
Fill in the following statements: Fill in the following statements: DE = 2DE. Find the measurement of ED. QP = 2RS. Find the measurement of NL. NL = ? ED = ? Solve for * Solve for x
Building a Truss The figure shows part of a common roof design using a very strong and stable triangular truss. Points B, C, D, F, G, I, and J are midpoints of AC, AE, CE, GE, HE, AH, and AI respectively. Truss: the frame of a roof 20 ft 4 ft 14 ft If AE = 28 feet, then how much lumber, in…
The perimeter of a regular octagon is 48 cm. Find the length of each side. (5) 120 points) What is the sum of the interior angles of a regular dodecagon (12-sided)? Explain and show your work. (20 points) What is the sum of the interior angles of a regular polygon? Explain and show your work.
Determine the area of a regular hendecagon that has a side length of seven inches and an apothem of 12.42 inches.
Given parallelogram ABCD with mzB = Sr and mzC = 3r+4. Find the number of degrees in angle D. Choose: 70°, 73°, 90°, or 180°.
As shown in the accompanying diagram, the rectangular gate has two diagonal supports. Given that m∠1 = 42, what is m∠2?
In rhombus ABCD, the measure; in inches, of AB is 3x + 2 and BC is * + 12_ Find the number of inches in the length ol' DC
In the accompanying diagram of rectangle ABCD, m∠BAC = 3x + 4 and m∠ACD = x + 28. What is m∠CAD?
Complete the following flowchart proof. Be sure to mark the diagram to show all congruent angles and congruent sides. (6 points) Given: M is the midpoint of WX M is the midpoint of YZ Show: YW ≅ ZX M is the midpoint of WX
How do you bisect an angle by using only a ruler or double-edged straightedge? How can we use the converse of the Rectangle Diagonals Conjecture to determine if the corners of a room are right angles? How can you use the Triangle Midsegment Conjecture to find the distance between two points…
In Problems 4 - 6, if the triangles are congruent, state the congruence shortcut and complete the triangle congruence statement (fill in the blank). If the triangles are NOT congruent, write "cannot be determined" and explain why not. (3 points) ΔBNG ≅ Δ _____ ΔHOW ≅ Δ _____ ΔMXD ≅ Δ _____
In the following diagram, AIBt is a right-angled triangle with sides 44, 404, and 41.804. The point Wc(48) is the midpoint of the hypotenuse. The line segment Drzw is perpendicular to line segment 7B. The equation of the line segment is unknown. The point M is the intersection of line segment…
Which of the following equations represents the distance between the intercept and the intersection of the line whose equation is y = mx + c? (2) Mo v24 Two line segments, AB and CD, have endpoints A(-3,1), B(3,5), C(9,3), and D(2,10). Which of the two line segments is longer? Show evidence to…
Sloven; Isosceles Trapezoid ABCD Proof: ∠ACB ≅ ∠DBC Statements: Reasons: Given: AB = DC and BD ≅ CA 2. BC ≅ AB 3. ABC ≅ ADC 4. ∠ACB ≅ ∠DBC Reasons: 1. Reflexive Property 2. SSS (Side-Side-Side) Property 3. Properties of Isosceles Trapezoid ABCD 4. SAS (Side-Angle-Side)…
Show how to use compass and straightedge to construct a perpendicular Iine to a line AB at the point A_ Hint: First place a point C to the left of A on the line AB at a suitable place_ B
Suppose we perform the following construction: Begin with a line AB, with the length of AB being 1 unit. Construct a square QABCD on AB. Bisect AB so that E is the midpoint. Draw a circle with center E through C and let F be the point where the circle cuts the line AB. Find the length of AF.…
Figure 1.5: Triangle and hexagon tilings of the plane
Text: Dalc NanIC HORIZONTAL AND VERTICAL LINES COMMON CORE GEOMETRY HOMEWORK PROBLEM SOLVING represents horizontal, vertical, slanted line. Then, For each of the following equations, state whether the value of the line's slope is undefined, zero, or greater than zero. If undefined, underline…
Given ABC shown below. Map AIBC using the transformations given below. For each case, start with AIBC, graph the image, and state the coordinates of the image's vertices. (a) A reflection in the line y = x to produce A'T'B'C' (b) A reflection in the line y = -x to produce A'F'B'C
Math Made Easy 40 Joe is 15 years old and Jane is 10 years old. If their ages are represented by the equation $ = MC^2, where M is Joe's age and C is Jane's age, what is the value of $ when M = 45? II - IIS Refer to the diagram above and answer the following questions. (18) Find the…
(-1.7) AM 'Parallel to the Which of the following is the square root of 18 times the square root of 8? (10/-1) (ij-7e4*thi) {2} = (4 "+7-2(r+J)
In the following diagram, € is the midpoint of AB. D is the midpoint of BC and E is the midpoint of CD. If ED = 5, then determine the length of AB. It is known that ray AP bisects angle ZCAT. If mZCAT = Sx + 17 and mZPAT = 3x - 4, then determine the value of x.
Page 456 15.2. What were the 'competing visions of Reconstruction? Read and analyze the "Who Is An American?" document from the chapter titled "The Composite Nation" derived from an 1869 Frederick Douglass speech in Boston. Click here to review the document. Complete the following…
Points and circle O1 are shown below. If IC = OC = 6x + 2 and OD = -16, then find the length of the radius of circle O. In the diagram below, circles B and E intersect each other only once at points D, E, and F. Answer each question below independently. (a) If the radius of circle A is 34…
In the diagram below, line segment AB has endpoints A(-2, 3) and B(3, -1). Draw the image of AB after reflection over the line y = 2. Is A'B' congruent to AB? Explain.
In the following diagram, AB and CD intersect at E. Which of the following transformations can be used to show that ∠AED ≅ ∠BEC? (1) a 90° counterclockwise rotation about E (2) a reflection across AB (3) a translation that maps A to B (4) a 180° rotation about E A nonagon is a nine-sided…
In the diagram below, OH is parallel to ID. Find the length of HD. If entering your answer as a decimal, round your final answer to the nearest hundredth. HD = units
TAE Selliun 1.3 homework lat Score: 0 of 1 pt 12 of 19 (11 complete) 1.3.39 Name [wQ planes that intersect in fine Quj Choose: The correct answer below plane QUN and plane UBM pare QUB plane UaM plane QRB and plane NUE plane QRB and plane RBM Chel elodboi and Ion each Chuck Anear pAIL…
19. sin θ > 0, cos θ > 0 21. csc θ > 0, tan θ < 0
Pyramid A and Pyramid B are similar. The volume of Pyramid A is 448 in³ and the volume of Pyramid B is 189 in³. If the height of Pyramid B is 39 inches, find the height of Pyramid A.
If EF' is rotated about point €, then which of the following segment pairs do not have to be of equal length? (I) EF and EF' EC and E"€ CF and €F' FF- and EF' Which figure always has exactly four lines of reflection that map the figure onto itself? square regular…
Given: ABCD is a parallelogram. Given: AB = 2x + 1, DC = 3x - 11, AD = x + 13. Show: ABCD is a rhombus.
Quadrilateral ABCD is mapped to quadrilateral A'B'C'D'. Which of the following transformations would not result in the two quadrilaterals being congruent? (1) a translation along side AB by a distance of twice AB (2) a dilation from point A by a factor of one-half (3) a rotation about point C…
Option #3: Given: M is the midpoint of AB. MC ∘ AC, MD ∘ BD, ∠1 ≅ ∠2. Prove: ┳ACM ≅ ┳BDM.
Given a regular octagon ABCDEFGH, algebraically prove that: AR + AC + AD + AE + AF + AG + AH = IAE (3 marks)
4. Use the definition of subtraction to find the difference between 8 - (-4). Explain your work: (5 points) 5. Use the number line to compute -5. Explain your work: (5 points) Use the chip model to find the product of (2)(-3). Explain your work: (5 points) Use the pattern model to find the…
Use the information provided to write the equation of each circle: 1) Center: (8, 13), Radius: √3 2) Center: (-4, -H), Radius: √2 Find the measure of the arc or angle indicated.
23 ADEF is reflected across y = -1. Graph and record the coordinates of its image, D'E'F'. 24) D E 25}
A (+,0) is reflected across the x-axis. What are the coordinates of A7? B (7,2) is reflected across the y-axis. What are the coordinates of B7? C (-4,-#) is reflected across the x-axis. What are the coordinates of C? Q (2,5) is translated along the vector (2, -2). What are the coordinates of…
Refer to the diagram above. Which similarity statement is incorrect? Explain. a. ACAB ~ AZXY b. CBA ~ AZYX c. LBAC ~ YZX Explanation:
Show your work, everyone in the group should be contributing! Netflix wants to enlarge a copy of its logo on the side of a bus. The space available on the bus measures 40 inches in height by 108 inches in length. What are the dimensions of the largest logo that will fit in this space without…
Let X = R with the usual metric given by d(x, y) = Ix yl: Let A = [-2,0] U [3,4] € X endowed with the subspace metric: Which one of the following is not an open ball in A? Select one: a. [-2,-1) b. (-1, 0] U [3,4] c [-2, 0] d.(-1,0] U [3,3.5]
I. A triangle with one acute angle and two obtuse angles
J A triangle with one acute angle and two right angles.
LMO = 4 NMP
Given A = √(zylg), the value of fAa di along the segment #2 as shown in the figure below is 0 & } 0b % 0 < 27 0 4.0 I.
The curl of A = c1 + yz is 0 a. zero 0 b. 1 0 € -ri 0d.21 Ore, yi
Determine the centroid of the shaded area which I5 symmetrical about the y-axis. 70 8 Q 100 Dimensions in milimeters R10
Given: AB = AC Prove: ∠B = ∠C Statements Reasons 1. Given 2. Every angle has 1 bisector 3. Definition of bisector 4. Reflexive Property 5. SAS Postulate 6. CPCTC Construct a bisector of ∠BAD → ∠ZCAD AD = AD (Common Side) ∠ABD ≅ ∠ACD (Angle Bisector Theorem) ∠B ≅ ∠C…
Brovilde appropriate response: certain drugs release from the bloodstream exponentially with a half-life of 24 hours. Suppose that a dose of 15 milligrams of the drug is taken at midnight. How much of the drug will remain in the patient's blood at 3.75 mg the next day?
Use the two-column proof to prove that the triangles are congruent by CE, WR, ILAEL. Given: Triangles SU and Q1 intersect each other at point Q, and Qu = St. Prove: Triangles AQRU and ATRS are congruent.
Find the measure of ∠ZLMK and ∠ZLMN: (5 marks) 2x + 24 Ax + 36°
Given: Kv bisects ZJKL Prove: mLMKL = MZJKL Statements: 1. Kv bisects ZJKL 2. MEJKM = MZMKL 3. MZJKM + meMKL = mLJKL 4. FZMKL = MMKL 5. mDKL = ZrZMKL 6. MJJKL = MLMKL 7. MZJKL Reasons: 1. Given 2. Definition of angle bisector 3. Angle addition postulate 4. Given 5. Given 6. Given 7.…
In the triangle below, y = [ ? ]o. Round to the nearest tenth_ 8 cm 10 cm
Find x and % Round to the nearest hundredth Find & band € Find * AHAT #TACLD
2. BC = 28 and BD = 32 CD = FD = EF = EC =
5. Find mZHGI (x - IY)^2 (4r + 3)^2
Ordinary (Fall) Dice and Cube with the number Twelve. The adult (aucnelanldu) painted scales. Lmaalna Iat did! di | tolsdeeene keannh and not Ul face values the two rolls added together. This sum occurs often & 0(0) Jngla trld cpncomauernneaanennt Compute Probability each 06I0 factoryln Event…
Raproslns and T. Use the figure to complete each statement AXg-84" 4ARC by the _ Similarity Conjecture If KN = 16 cm, then BM = 8 cm. AABC ~ AEDC: All measurements are in centimeters. DE = AG CF.
CE = DF V8, SO CE DF . Slope of CE ~1,, and slope of DF = 1, so CE L DF_ (2,0) is the mdpt. of CE and DF s0 CE and DF bisect each other. CE = DF 5 V4, so CE DF Slope of CE = 1, and slope of DF = F1 SO CE LDF_ (0,2) is the mdpt. of CE and DF, so CE and DF bisect each other_
9. Describing Dilations (3 points) Fully describe the dilation shown in the figure.
Consider the following linear system: -21T1 + 2T12 + V13T3 + 17*1 + T2 + 13 + 214 + 281 + 212 - 17r3 + 604 Does this system have a non-trivial solution? How many solutions does it have?
The point has center (0,0). Find the image after a dilation by a scale factor of 5. Scale the point (ar 3 J) for the factor 76.
In the diagram shown below: Jl - EtS Find the value of x (6 pts) (se3s) the diagram below, oieec And the value of x (6 pts) Isec
Considering the total area, the sum of the areas of all of its parts determines the final area of the figure on the right. Find the exact area of that figure on the right. Use 3.14 as an approximation for pi.
39.6 mm 38 mm 22 mm (isosceles triangle)
1809.56 Submission 3 (0/S points) Wednesday, January 27, 2021 03:31 PM -08 A rectangle has dimensions. Find the exact volume (in cubic inches) of the solid of revolution formed when the rectangle is rotated about its side. 1810.29 Submission 4 (0/S points) Wednesday, January 27, 2021 03:31 PM…
A rectangle has dimensions of 9 in. by 8 in. Find the exact volume (in cubic inches) of the solid of revolution formed when the rectangle is rotated about its 9 in. side. ( ) in³
Let's Analyze 472. Compare each given measurement: Encircle the greater measure, 16.7 ft or 3.7 yd, 5.4 m or 4 yd, 2.3 km or 3 mi, 6.3 hectare or 3 acre, 3 km or 3 mi, 3 m or 3 yd, 4.5 ft or 3 m, 3 cm or 3 in. Let's Try (Evaluation): Complete the following: Round your answers to the nearest…
Find the midpoint, M, of AB.
C. Convert the following to F. Find the answer at the right and take note of the word beside it. Then write the words inside the box corresponding to the item number. 1 _ 60%€ 152.6°F TRIED 2 544.59°F 14.42°C WHO 2 1 ko84 3 879€ 878°F MADE 4_ 2 2599°F 140°F A_ 5_ 470*€ 626°F NEW…
. 3 . 3 . Let's Recall (Review) A_ Perform the indicated operations_ | . ` ` . 1) ( -25) + (~27) 3) ( -95) + (-59) + (-73) 2) ( -39) + 27 B. Write the related addition expression: 1) ( -14) - (91_) 3) ( -84) (-48) - (-62)
Complete the table: Numerical Coefficient | Literal Coefficient ----------------------|--------------------- 1) 9b^2 | 2) -25y^2 | 81 3) 1 | Identify terms that are similar. Color the box containing…
Example 3: Given: ABCD is rhombus, AE = CE Prove: <ADE <CDE Statements Reasons
Given: WZ || XY, WX || ZY, WZ = ZY Prove: WXYZ is a rhombus Statements 1. WZ || XY (Given) 2. WX || ZY (Given) 3. WZ = ZY (Given) 4. ∠WZY = ∠WXY (Alternate Interior Angles Theorem) 5. ∠WXY = ∠WYZ (Alternate Interior Angles Theorem) 6. ∠WYZ = ∠WZY (Vertical Angles Theorem) 7. ∠WZY…
Given: ABCD is a rhombus Prove: 1) ΔAEB ≅ ΔCEB 2) ∠ABE ≅ ∠CBE, ∠AEB ≅ ∠CEB Statements Reasons
DERIVITA HELP Question 2 Can Is Quiz: Summation In the figure above, what plane intersects plane VRS and plane XTS at point S? plane CHECK ANSWER muscular
Find g 609 2/2 i 300 Write your answer in simplest radical form. feet
Find f 609 9-/5 cm 309 Write your answer in simplest radical form_ centimeters
Find m V6 mi 450 450 Write your answer in simplest radical form: miles Submit
The figure P. Draw the image of the shape and label it. Copy the figure and point out the notation used. Given the rotation of 180 degrees, rotate the vertices of the image.
In the figure , 0 is the center of the circle. Segments AD and CD are tangent to circle 0_ Find: X = 054 yd
Find p. 7-2 450 450 Write your answer in simplest radical form_ units
Construct a ΔABC in which BC = 5 cm, ZA = 70°, and the median through A is of length 3.4 cm. Also, find the length of the altitude drawn from the vertex A on BC.
Question 7 (1 point) GH and IJ are chords in OF. Given GH = FK and JI = FL. Let GH = 38, FN = 7. How long is FL? Round to the tenths place. The figure is not drawn to scale.
10 ft 8 ft Find the circumference of a circle. Find the perimeter of this figure to the nearest hundredth. Use 3.14 to approximate pi. P = [ ? ] ft. Notice that only half of the circle is included in the figure.
Question 9 (1 point) Given DC and DB are tangent to OA. Let DC = 23 and AC 23. What is the length of DB? 'diagram is not drawn to scale
Show that a quadrilateral with the given vertices is a parallelogram: Find the lengths of the sides of the quadrilateral: PA = TP = TR = RA = (Simplify your answers. Type exact answers, using radicals) Enter your answer in the edit fields and then click Check. part remaining Math Midterm Review
Question 8 (1 point) GH and IJ are chords in OF. Given GH = 1, FK = 1, JI = L, FL = 1, and FN = 4 FM. Let GH = 30 and FN = 10. How long is JR? The figure is not drawn to scale.
71 7 e1 'LI K WX 5 m UJ 3 0" W "2m N IH Hod 3 H81
Text: WMeyplus Course Hero Woi Nc odlullobls Sou Nacdiciodis Exit Optional 6-5: Mathxl for School; Mixed Review Recovery & Bonus Points 6.5.MR-10 Show that a quadrilateral with the given vertices is a parallelogram. Given: the side lengths of the quadrilateral, Find: the TE RA = Two exact…
Question 8 (1 point) GH and IJ are chords in OF. Given GH = FN + 2FM, FK = JI + 1FL and GH = 30, FN = 10. How long is JP? (The figure is not drawn to scale.)
shaded area of the Find the figure. ? Enter Me square units
Question 10 (1 point) Given that communications satellite is orbiting the earth 600 miles above the earth represented by DE in the diagram below: What_is the distance from the satellite to the horizon represented by DB and DC below? The radius of the earth is approximately 3960 miles (lt varies…
Find the area shaded in yellow [? ] square units
Text: ScnmSoEnEVnf SHZZVEuOhSAOVZbzHcKVTSADbSgq6AsZ42w/formResponse
Order the slide lengths FG, GL, FH, GH, (Note that the figure and H from least to greatest; not drawn to scale:) 582 568 630 600 Check
4x + 2 Sx Sx+5 X-10 2Y - 1 Bx+ 5 2x-2 _
What is the equation of the top half of the ellipse with an equation 6+4=17 0 2y 16 2y = V4 -y 2y V4 - z2 2y V16 22
Solve for the other missing lengths given only two measurements: 1. a = 4, b = 6 2. a = 8, c = 10 3. a = 5, c = 8 4. a = 9, m = 6 5. a = 12, h = 9 6. b = 6, c = 15 7. b = 12, n = 9 8. b = 4, n = 3 9. b = 10, h = 6 10. b = 11, h = 8 11. c = 18, m = 12 12. c = 15, n = 8 13. c = 20, m = 6 14. m =…
In the diagram below, we have that AB < BC, BM < AC, AB = 23, and CM = 263.004. Find: AM BM
Directions: Find the area of each triangle Area of the Triangle type vour answer_ units squared point
Order the side lengths DE, EF, and FD from least to greatest. (Note that the figure is not drawn to scale.)
Find the perimeter. 8.2 in. 2.8 in; 3.4 in; 4.5 in; 7.1 in; 10.8 in; ln 4
What is the surface area of the net of this 3-dimensional figure? 3 cm 6 cm 5 cm
Consider the following figure. Given: m∠RST = (2x - 10)', m∠TSV = (x + 7)', m∠RSV = (4(x - 7))' Find: x and m∠RSV in degrees x = m∠RSV = '
The point (21,82 passes through the line Ax + By + C = 0 if None of these Ay1 Bc1 +C =0 Ac1 + By1 + C = 0 Either statement is applicable
Given: bisects BD, ZAEZE Given: FQI5t FReTr Prove: AAKCZAFUC Subcomponent Identification Theorem Given Definition of Bisect Zacha ZDCE AARCEAEDC Prove APORZ 4TSk Subcomponent Lpretr BLL Given LPazT LACBADCE ASA Type it all please Given [MeNo and ZMezo Given: FQeSu QK-Stand PRemo Prove:…
Area of the Triangle
Is it possible for a line to have at most two points that have the same X- coordinate value? No Yes Depends on the slope Depends on the Y-intercept
Given the two similar flags shown below, find the perimeter of the larger flag: 15 Perimeter = 16 12
Determine if each statement is true: 1. PR = 1 2. SQ = LSTP 3. LQTR = LSTP 4. LQPT = 909 5. LSRT = LQPT If PORS is a rectangle and PORS is a square, explain why each statement is true.
In the diagram below: line a is parallel to line b line d is perpendicular to line e Angle 28 = 40 degrees Angle 8 = 60 degrees Find the measures of all other angles.
Determine if each statement is true if ABCD is a parallelogram. ABCD is a rhombus. In each case, if true, explain why: AD = CB ∠LAEC = ∠LBED ∠LAEC = ∠LAEB ∠LCEA = ∠LBEA
In kite ABCD, find the following angle measures. B 258° 85° A m∠ACD, m∠ABC, m∠BAC, m∠ADC
Baseless trapezoid SAND has diagonals SN = Sw + 13 and AD = IIw 5. Determine the value of w.
Motha is constructing a rectangular prism with volume exactly 79 cubic inches. What will be its dimensions? What will be its surface area? Jude is designing a plush activity toy for a baby. The toy will be a rectangular prism with surface area 864 square inches. Determine the maximum volume of…
Find the area of this circle: Use 3 for T A = Tr? 4 cm [?] cm?
You have a right circular cone of height 1530 mm and volume 2.2 x 10^3 in³. Calculate the base diameter of the cone. NOTE: For this problem, you will be graded on how well you write up your problem relative to what was discussed in lecture. HINT: Volume of cone - Google.
Select every statement below that is TRUE, use the definitions given in class and in the book. Every rectangle is a parallelogram. Every rhombus is a square. Every square is a rectangle. Every parallelogram is a quadrilateral. Every parallelogram is a rectangle. Every square is a…
Determine the values of the variables in the figure below, where AB ≅ CD and BC || DA. Determine the values of the variables in isosceles trapezoid CHLE below.
State what additional information is required in order to know that the triangles are congruent for the reason given. 13) AAS 14) ASA 15) SSS 16) SAS
Given: 5 AE bisects Bb, ZAELE Given: PQIST; PReTR Prove: AABCZAEDC Statements AReasons LAaLE Given Definition of Bisect ZACBEZDCE 4ABCZAEDC Prove: APQREATSR Seukml LPRZTR BELni Given ZPezT ZACBA ZDCE ASA Given: [MeNo, and ZMzzo Given: PQ_SU, QReST and PRaTo Prove: AMPLEANPO Statements HEAlLI 1…
Determine the values of the variables in the isosceles trapezoid TRAP. x = m =
Solve for x & y and determine if any sides are parallel: 99e (x+y+24)9 Sye (3x+5)8 559 C Diagram not drawn to scale!
Given the following equations for lines, answer the following questions: s(t) = (t + 2, 5t, 2t - 3) p(t) = (2, 3t - 3, 4t - 7) What is one point that is contained on both s(t) and p(t)? Find an equation of the plane that contains both lines and the coordinate point found in part 1. If the…
Find the area of this circle: Use 3 for m . = Tr2 10 ft [?] ft2
Find the value of X. 3x - 3
2 a) Find 0. (62.70) b) Find the side adjacent to 0. (4.13) Find the angle of the lower right corner: (27.39)
The mean center of the population of the United States is east and north of the median of the United States. The mean center is pulled towards the location of outliers more than the median.
Hunson and Lard are two fearless adventurers who face mathematical roadblocks and puzzles whenever they go on an adventure. They are currently facing a challenge where they need to cross a river that is surrounded by two high walls. A local gave them each a coil of rope that he said would be…
7) Based On the diagram below, calculate the hypotenuse using ONLY the three trig functions.
02 *s] The apothem ol this regular octagon is about 14,5 f, Area ol shaded region 1k
a) Find 0. (318) b) Find the side opposite to 0. (3.6) Find the angle of the upper left corner: (590_
a) Find the hypotenuse. (6.22) b) Find side adjacent to the 409 (4.77) 409 Find the angle of the upper right hand corner: (502)
Use 3 for " this circle: area of Find the % [?] ft2 A = Tr2
a) Find x. (5.49) b) Find h. (5.85) c) Find ϕ. (20°)
Question 18 of 18 Compute the following: Column Proof Plan Given: CI is the midpoint of HD IA = mz m2 > mzi Prove: Al > F
Find the area of this circle. Use 3 for T. A = Tr2 10 ft [?] ft2
The line Sx + 3 is the perpendicular bisector of MN and intersects MN at point A(-9, 6). Find the equation of MV in point-slope form.
Text: Select every statement below that is TRUE, using the definitions given in class and in the book: Every rhombus is a parallelogram. Every trapezoid is not a rectangle. Every square is a rhombus. Every rectangle is a square. Every rectangle is a parallelogram. …
Find the coordinates of the orthocenter of the triangle.
Janae is standing 55 ft from the monument at the circle downtown. If the height of the monument is 284 ft, write and solve an equation to find the angle of elevation from a point on the ground to the top of the monument. Round to the nearest hundredth. Angle of Elevation = degrees.
Innin - Practice Parallel Lines and Proportional Parts HAAD "pk 27, and &H Icot U 12, PS 27, and OT A4. Determine whether JK || NM. Justify your answer: JN = JL + J0, KM = 21, and ML = L1I - 4.K = 4, and NL = JH is a midsegment of AKLM. Find the value of €. 7. Find nd. Find x and y. MAPS…
Find the area of this circle Use 3 for T, A = Tr2 3 ft [?] ft2
Find the area of this circle: Use 3 for T. A = Tr2 12 cm [?] cm2
Chen Lee Bolt (1, 41, 441 #, and 40) [Lpteh JAbeia]
Text: A simplified version of the "predator-prey population model" is shown in the figure on the right. The top figure shows populations of hares and lynxes varying over a 9-year period in the 1800s, while the bottom figure shows the graph of the derivative of the hare population, determined by…
Find the area of this circle. Use 3 for T A = Tr? [?] cm2 12 cm
Find the exact value of the indicated trigonometric function, using the given information.\ $ an heta$ if $cos heta = frac{1}{5}$; terminal side of $ heta$ in Quadrant I.\ $ an heta = $
Write rule for the translation OLMN to Al M'N'. Use 4 rules for the translation.
Find the area of this circle. Use 3 for T A = Tr2 7 ft [2] ft2
6) In the figure below, 95 degrees and angle 2 are complementary: /95 118 5
Indicate the two quadrants 0 could terminate in if V3 2 cos 0 Quadrants or
Question 3 10 pts Given: 4 ABC &4 xYZ True or False BAC 24 ZYX True False
Find the remaining trigonometric functions of 0 if 4 Cos 0 = and 0 terminates in QI 5 sin 0 = Preview COS 0 = Preview tan 0 = Preview cot 0 = Preview sec @ = Preview Csc 0 = Preview
Find the remaining trigonometric functions of θ if sin θ = 12/13 and cos θ < 0. sin θ = 12/13 cos θ = -5/13 tan θ = 12/(-5) cot θ = -5/12 sec θ = -13/5 csc θ = 13/12
Draw 225 " in standard position Clear All Draw: Find a positive angle that is coterminal, Find a negative angle that is coterminal_
Find the remaining trigonometric functions of θ if θ = 13 and cos θ < 0: csc θ = sin θ = cos θ = tan θ = cot θ = sec θ =
Solve for x in the following right triangle. 22 11√3
Find the remaining sides of a 30-60-90 triangle if the shortest side is 3. Longest side: Preview Middle side: Preview
5 The degree measure of each exterior angle of a regular decagon is = Sx + 1. Solve for x represented by the expression
IF A = Zax + 3ay, B = -Zaxtaz, and C = Zay + 4az, the vector in the plane containing A and C and perpendicular to B is 8ax + Z0av + 16az Tdel Cun Pnd} bac.
Estimate, to the nearest degree, the angles that a diagonal of a box with dimensions 15 cm x 20 cm X 25 cm makes with the edges of the box:
Question 4 10 pts If ∆ABC ≅ ∆XYZ and AB = 8, BC = 10, AC = 15, and XZ = 3x - 6, then x Question 5 10 pts If ∆LMN ≅ ∆RST, then * = ? Given that LM = 10, MN = 14, LN = 18, and ST = Sx + 4
Find the area of this irregular figure: [? ] square feet 9 ft 15 ft 26 ft
Investigate the following limit: f(x) = {1 if x is an integer, 0 if x is not an integer. Find the limit as x approaches 1/2.
Use the circle and points to sketch an example of each of the three following terms: given tangent, secant, chord. b) Name the example you provided in the sketch above using proper circle notation. - Tangent - Chord - Secant LT 13
Complete the table and investigate the limit: lim X approaches from the left X approaches from the right 1.1 ~1.01 1.001 999 -0.99 ~0.9 f(x) -x - 5
The diameters of the circle are HE and GD. RIGF mDE = ~HGE = LT 14
9 in. 14 in. Find the area of the triangle shown above. [?] square inches
A cylinder has a radius of 12 inches: Its volume is 4,521.6 cubic inches. What is the the cylinder? height of Use _ 3.14 and round your answer to the nearest hundredth. h inches
In ΔPQR, point Z is the centroid and QY = 18. Based on this information, what is the measure of QZ?
In triangles AWXY and ARPQ, ZW = ZP and ZX = Z
A cylinder has a height of 9 inches and a diameter of 12 inches. What is its volume? Use I 3.14 and round your answer to the nearest hundredth. cubic inches
9 ft 9 ft 19.8 12 ft 9 ft 15 ft
AT is an altitude: ALAT = 4 √9. AT is a median: ALAT = 4 √9.
Subdividing right triangles Given a right triangle that has articles over a line segment from the base to the hypotenuse, the segment divides the original right triangle into two smaller right triangles. The angles of these smaller right triangles are related and determined by the specific…
Find KL_ Assume that segments that appear to be tangent are tangent: T-1 12
[C] Reduce the division where z = 4+ 3i, to the form a +bi, 0,6 € R: (Hint:The ensier is @ special type of compler number: )
[CG] Let A,B,C be the points (a,0). (0,6) . (0,0) respectively Use the distance formula to show that the midpoint M of the hypotenuse AB of the right ^ABC is equi-distant t0 the vertices MA MB MC_
Mall ut Culo Cle 1 Ctivi Iypin 0 N * 0 Neat 3 dranid 5 app nearpod con/presentation?pin-YTZSA A triangle ABC has an area of 52.7 ft². If it has side lengths where CA = 10 ft and CB = 17 ft, what would be the measure of the included angle C? Ready? Enter your answer here: Tog
List the angles of ADEF in order from smallest to largest: 35 20 50 LD, LE, LF LR, LE, LD ~D, LF, LE OzR, _D, LE
Use our new theorems to find the missing measures. The perimeter of AMUD is 36.6 cm. LD = Lu = 1. MD = 1. 9. Find the values of x and y. 1 = M4em 110 - 2x 3x
11. Developing Proof: What's wrong with this picture? Explain: 12. Developing Proof: What's wrong with this picture? Explain: 130" 25 cm 125" Hemt 48 cm
Question 3 235 mnt Niagara Falls Denver 178 mm 273 mm Orlando An airplane travels between three cities: Niagara Falls, Orlando, and Denver. If the plane begins at Niagara Falls, has a layover in Orlando before departing to Denver, what is the angle of its turn at Orlando? Round your answer to…
Question 1 3 pts In ASTU, u = 84 inches, t = 13 inches, and LT = 165 inches. Find the length of t, to the nearest inch: 8 = 13 4650 u = 84
Find the volume of the cylinder using the formula V = πr^2h. Use r = 9 in and h = 12 in.
Find the volume of the cylinder using the formula V = πr^2h. Use π = 3.14. 79,347.8 in^3 25,270 in^3 0 4176.2 in^3 0 8152.4 in^3
I2X - ( 0 JL 2) a Lm of AbCO are A(s;2) 8(x,6) , and c(8,3) 3) These vertices can be used to find the X+2i
PBC ~ ADBA 20 cm 16 cm Jc
In a right angled triangle with sides of length a, b, and c where c is the hypotenuse, b = 3.4 cm and c = 5.6 cm, what is the angle opposite side a? (make sure calculator is in degree mode.) 31° 53° 37° 1° 63°
5) Find the lateral area of the cylinder using the lateral area formula: LA = 2Ï€rhl 20 = ? An Ine IOt 20 In? AOI In?
Consider the transformations f : R² → R² with f(x,y) = (x-3, y+2) and g : R² → R² with g(x,y) = (x+5, y-1). 1) Find the compositions f ∘ g and g ∘ f. 2) Find the inverses f⁻¹ and g⁻¹.
Given: WX ≅ XY, XZ bisects ∠WXY Prove: ∆WXZ ≅ ∆YXZ Statements Reasons 1. WX ≅ XY, XZ bisects ∠WXY 1. Given. 2. ∠WXZ ≅ ∠YXZ 2. Definition of an angle bisector. 3. XZ ≅ XZ 3. 4. ∆WXZ ≅ ∆YXZ 4. Reflexive Property of ≅; SSS Symmetric Property of ≅; SSS Reflexive Property of ≅; SAS Symmetric…
1) 26 + 51 =16 2) 36 + V =18 3) 2(3v _ 5) = 14 4) 4(30 -2 =88 5) 2(3r + 1)=11 6) 6(3k + 5) = 39
Look at the isosceles triangle below. Determine which of the following angle measures are correct: (7x - 34)° m∠BCA = 58° m∠BCD = 58° m∠DCB = 122° m∠BAC = 48° (4x + 2)° In the figure below, ∠RQT and ∠RST are bisected, forming isosceles triangle QRS and QTS. What is the value of ∠RSQ? m∠RSQ =
Formula: SA = 2πrh + 2πr² Find the surface area of the cylinder using the given measurements: Height (h): 9 cm Radius (r): 7 cm
Find the area 30 yd 23 yd 17 yd
PU = 12, VT = 5, and VQ = 6. Which of the following is FALSE? In the figure below: RU = 12 0 B DP = 3 PR = 17 PV = 10 and HD = 18. Which of the following is FALSE? In the figure below, FE = 8, EH = FD = BE, BA = FD, EH = ED BE = 24
Fill in the following statements: Fill in the following statements: DE = 2DE. Find the measurement of ED. QP = 2RS. Find the measurement of NL. NL = ? ED = ? Solve for * Solve for x
Building a Truss The figure shows part of a common roof design using a very strong and stable triangular truss. Points B, C, D, F, G, I, and J are midpoints of AC, AE, CE, GE, HE, AH, and AI respectively. Truss: the frame of a roof 20 ft 4 ft 14 ft If AE = 28 feet, then how much lumber, in…
The perimeter of a regular octagon is 48 cm. Find the length of each side. (5) 120 points) What is the sum of the interior angles of a regular dodecagon (12-sided)? Explain and show your work. (20 points) What is the sum of the interior angles of a regular polygon? Explain and show your work.
Determine the area of a regular hendecagon that has a side length of seven inches and an apothem of 12.42 inches.
Given parallelogram ABCD with mzB = Sr and mzC = 3r+4. Find the number of degrees in angle D. Choose: 70°, 73°, 90°, or 180°.
As shown in the accompanying diagram, the rectangular gate has two diagonal supports. Given that m∠1 = 42, what is m∠2?
In rhombus ABCD, the measure; in inches, of AB is 3x + 2 and BC is * + 12_ Find the number of inches in the length ol' DC
Complete the following flowchart proof. Be sure to mark the diagram to show all congruent angles and congruent sides. (6 points) Given: M is the midpoint of WX M is the midpoint of YZ Show: YW ≅ ZX M is the midpoint of WX
How do you bisect an angle by using only a ruler or double-edged straightedge? How can we use the converse of the Rectangle Diagonals Conjecture to determine if the corners of a room are right angles? How can you use the Triangle Midsegment Conjecture to find the distance between two points…
In Problems 4 - 6, if the triangles are congruent, state the congruence shortcut and complete the triangle congruence statement (fill in the blank). If the triangles are NOT congruent, write "cannot be determined" and explain why not. (3 points) ΔBNG ≅ Δ _____ ΔHOW ≅ Δ _____ ΔMXD ≅ Δ _____
In the following diagram, AIBt is a right-angled triangle with sides 44, 404, and 41.804. The point Wc(48) is the midpoint of the hypotenuse. The line segment Drzw is perpendicular to line segment 7B. The equation of the line segment is unknown. The point M is the intersection of line segment…
Which of the following equations represents the distance between the intercept and the intersection of the line whose equation is y = mx + c? (2) Mo v24 Two line segments, AB and CD, have endpoints A(-3,1), B(3,5), C(9,3), and D(2,10). Which of the two line segments is longer? Show evidence to…
Sloven; Isosceles Trapezoid ABCD Proof: ∠ACB ≅ ∠DBC Statements: Reasons: Given: AB = DC and BD ≅ CA 2. BC ≅ AB 3. ABC ≅ ADC 4. ∠ACB ≅ ∠DBC Reasons: 1. Reflexive Property 2. SSS (Side-Side-Side) Property 3. Properties of Isosceles Trapezoid ABCD 4. SAS (Side-Angle-Side)…
Show how to use compass and straightedge to construct a perpendicular Iine to a line AB at the point A_ Hint: First place a point C to the left of A on the line AB at a suitable place_ B
Suppose we perform the following construction: Begin with a line AB, with the length of AB being 1 unit. Construct a square QABCD on AB. Bisect AB so that E is the midpoint. Draw a circle with center E through C and let F be the point where the circle cuts the line AB. Find the length of AF.…
Figure 1.5: Triangle and hexagon tilings of the plane
Text: Dalc NanIC HORIZONTAL AND VERTICAL LINES COMMON CORE GEOMETRY HOMEWORK PROBLEM SOLVING represents horizontal, vertical, slanted line. Then, For each of the following equations, state whether the value of the line's slope is undefined, zero, or greater than zero. If undefined, underline…
Given ABC shown below. Map AIBC using the transformations given below. For each case, start with AIBC, graph the image, and state the coordinates of the image's vertices. (a) A reflection in the line y = x to produce A'T'B'C' (b) A reflection in the line y = -x to produce A'F'B'C
Math Made Easy 40 Joe is 15 years old and Jane is 10 years old. If their ages are represented by the equation $ = MC^2, where M is Joe's age and C is Jane's age, what is the value of $ when M = 45? II - IIS Refer to the diagram above and answer the following questions. (18) Find the…
(-1.7) AM 'Parallel to the Which of the following is the square root of 18 times the square root of 8? (10/-1) (ij-7e4*thi) {2} = (4 "+7-2(r+J)
In the following diagram, € is the midpoint of AB. D is the midpoint of BC and E is the midpoint of CD. If ED = 5, then determine the length of AB. It is known that ray AP bisects angle ZCAT. If mZCAT = Sx + 17 and mZPAT = 3x - 4, then determine the value of x.
Points and circle O1 are shown below. If IC = OC = 6x + 2 and OD = -16, then find the length of the radius of circle O. In the diagram below, circles B and E intersect each other only once at points D, E, and F. Answer each question below independently. (a) If the radius of circle A is 34…
In the diagram below, line segment AB has endpoints A(-2, 3) and B(3, -1). Draw the image of AB after reflection over the line y = 2. Is A'B' congruent to AB? Explain.
In the following diagram, AB and CD intersect at E. Which of the following transformations can be used to show that ∠AED ≅ ∠BEC? (1) a 90° counterclockwise rotation about E (2) a reflection across AB (3) a translation that maps A to B (4) a 180° rotation about E A nonagon is a nine-sided…
In the diagram below, OH is parallel to ID. Find the length of HD. If entering your answer as a decimal, round your final answer to the nearest hundredth. HD = units
TAE Selliun 1.3 homework lat Score: 0 of 1 pt 12 of 19 (11 complete) 1.3.39 Name [wQ planes that intersect in fine Quj Choose: The correct answer below plane QUN and plane UBM pare QUB plane UaM plane QRB and plane NUE plane QRB and plane RBM Chel elodboi and Ion each Chuck Anear pAIL…
19. sin θ > 0, cos θ > 0 21. csc θ > 0, tan θ < 0
Pyramid A and Pyramid B are similar. The volume of Pyramid A is 448 in³ and the volume of Pyramid B is 189 in³. If the height of Pyramid B is 39 inches, find the height of Pyramid A.
If EF' is rotated about point €, then which of the following segment pairs do not have to be of equal length? (I) EF and EF' EC and E"€ CF and €F' FF- and EF' Which figure always has exactly four lines of reflection that map the figure onto itself? square regular…
Given: ABCD is a parallelogram. Given: AB = 2x + 1, DC = 3x - 11, AD = x + 13. Show: ABCD is a rhombus.
Quadrilateral ABCD is mapped to quadrilateral A'B'C'D'. Which of the following transformations would not result in the two quadrilaterals being congruent? (1) a translation along side AB by a distance of twice AB (2) a dilation from point A by a factor of one-half (3) a rotation about point C…
Option #3: Given: M is the midpoint of AB. MC ∘ AC, MD ∘ BD, ∠1 ≅ ∠2. Prove: ┳ACM ≅ ┳BDM.
Given a regular octagon ABCDEFGH, algebraically prove that: AR + AC + AD + AE + AF + AG + AH = IAE (3 marks)
4. Use the definition of subtraction to find the difference between 8 - (-4). Explain your work: (5 points) 5. Use the number line to compute -5. Explain your work: (5 points) Use the chip model to find the product of (2)(-3). Explain your work: (5 points) Use the pattern model to find the…
Use the information provided to write the equation of each circle: 1) Center: (8, 13), Radius: √3 2) Center: (-4, -H), Radius: √2 Find the measure of the arc or angle indicated.
23 ADEF is reflected across y = -1. Graph and record the coordinates of its image, D'E'F'. 24) D E 25}
A (+,0) is reflected across the x-axis. What are the coordinates of A7? B (7,2) is reflected across the y-axis. What are the coordinates of B7? C (-4,-#) is reflected across the x-axis. What are the coordinates of C? Q (2,5) is translated along the vector (2, -2). What are the coordinates of…
Refer to the diagram above. Which similarity statement is incorrect? Explain. a. ACAB ~ AZXY b. CBA ~ AZYX c. LBAC ~ YZX Explanation:
Show your work, everyone in the group should be contributing! Netflix wants to enlarge a copy of its logo on the side of a bus. The space available on the bus measures 40 inches in height by 108 inches in length. What are the dimensions of the largest logo that will fit in this space without…
Let X = R with the usual metric given by d(x, y) = Ix yl: Let A = [-2,0] U [3,4] € X endowed with the subspace metric: Which one of the following is not an open ball in A? Select one: a. [-2,-1) b. (-1, 0] U [3,4] c [-2, 0] d.(-1,0] U [3,3.5]
I. A triangle with one acute angle and two obtuse angles
J A triangle with one acute angle and two right angles.
LMO = 4 NMP
Given A = √(zylg), the value of fAa di along the segment #2 as shown in the figure below is 0 & } 0b % 0 < 27 0 4.0 I.
The curl of A = c1 + yz is 0 a. zero 0 b. 1 0 € -ri 0d.21 Ore, yi
Determine the centroid of the shaded area which I5 symmetrical about the y-axis. 70 8 Q 100 Dimensions in milimeters R10
Given: AB = AC Prove: ∠B = ∠C Statements Reasons 1. Given 2. Every angle has 1 bisector 3. Definition of bisector 4. Reflexive Property 5. SAS Postulate 6. CPCTC Construct a bisector of ∠BAD → ∠ZCAD AD = AD (Common Side) ∠ABD ≅ ∠ACD (Angle Bisector Theorem) ∠B ≅ ∠C…
Brovilde appropriate response: certain drugs release from the bloodstream exponentially with a half-life of 24 hours. Suppose that a dose of 15 milligrams of the drug is taken at midnight. How much of the drug will remain in the patient's blood at 3.75 mg the next day?
Use the two-column proof to prove that the triangles are congruent by CE, WR, ILAEL. Given: Triangles SU and Q1 intersect each other at point Q, and Qu = St. Prove: Triangles AQRU and ATRS are congruent.
Find the measure of ∠ZLMK and ∠ZLMN: (5 marks) 2x + 24 Ax + 36°
Given: Kv bisects ZJKL Prove: mLMKL = MZJKL Statements: 1. Kv bisects ZJKL 2. MEJKM = MZMKL 3. MZJKM + meMKL = mLJKL 4. FZMKL = MMKL 5. mDKL = ZrZMKL 6. MJJKL = MLMKL 7. MZJKL Reasons: 1. Given 2. Definition of angle bisector 3. Angle addition postulate 4. Given 5. Given 6. Given 7.…
In the triangle below, y = [ ? ]o. Round to the nearest tenth_ 8 cm 10 cm
Find x and % Round to the nearest hundredth Find & band € Find * AHAT #TACLD
2. BC = 28 and BD = 32 CD = FD = EF = EC =
5. Find mZHGI (x - IY)^2 (4r + 3)^2
Ordinary (Fall) Dice and Cube with the number Twelve. The adult (aucnelanldu) painted scales. Lmaalna Iat did! di | tolsdeeene keannh and not Ul face values the two rolls added together. This sum occurs often & 0(0) Jngla trld cpncomauernneaanennt Compute Probability each 06I0 factoryln Event…
Raproslns and T. Use the figure to complete each statement AXg-84" 4ARC by the _ Similarity Conjecture If KN = 16 cm, then BM = 8 cm. AABC ~ AEDC: All measurements are in centimeters. DE = AG CF.
CE = DF V8, SO CE DF . Slope of CE ~1,, and slope of DF = 1, so CE L DF_ (2,0) is the mdpt. of CE and DF s0 CE and DF bisect each other. CE = DF 5 V4, so CE DF Slope of CE = 1, and slope of DF = F1 SO CE LDF_ (0,2) is the mdpt. of CE and DF, so CE and DF bisect each other_
9. Describing Dilations (3 points) Fully describe the dilation shown in the figure.
Consider the following linear system: -21T1 + 2T12 + V13T3 + 17*1 + T2 + 13 + 214 + 281 + 212 - 17r3 + 604 Does this system have a non-trivial solution? How many solutions does it have?
The point has center (0,0). Find the image after a dilation by a scale factor of 5. Scale the point (ar 3 J) for the factor 76.
In the diagram shown below: Jl - EtS Find the value of x (6 pts) (se3s) the diagram below, oieec And the value of x (6 pts) Isec
Considering the total area, the sum of the areas of all of its parts determines the final area of the figure on the right. Find the exact area of that figure on the right. Use 3.14 as an approximation for pi.
39.6 mm 38 mm 22 mm (isosceles triangle)
1809.56 Submission 3 (0/S points) Wednesday, January 27, 2021 03:31 PM -08 A rectangle has dimensions. Find the exact volume (in cubic inches) of the solid of revolution formed when the rectangle is rotated about its side. 1810.29 Submission 4 (0/S points) Wednesday, January 27, 2021 03:31 PM…
A rectangle has dimensions of 9 in. by 8 in. Find the exact volume (in cubic inches) of the solid of revolution formed when the rectangle is rotated about its 9 in. side. ( ) in³
Find the midpoint, M, of AB.
C. Convert the following to F. Find the answer at the right and take note of the word beside it. Then write the words inside the box corresponding to the item number. 1 _ 60%€ 152.6°F TRIED 2 544.59°F 14.42°C WHO 2 1 ko84 3 879€ 878°F MADE 4_ 2 2599°F 140°F A_ 5_ 470*€ 626°F NEW…
. 3 . 3 . Let's Recall (Review) A_ Perform the indicated operations_ | . ` ` . 1) ( -25) + (~27) 3) ( -95) + (-59) + (-73) 2) ( -39) + 27 B. Write the related addition expression: 1) ( -14) - (91_) 3) ( -84) (-48) - (-62)
Example 3: Given: ABCD is rhombus, AE = CE Prove: <ADE <CDE Statements Reasons
Given: ABCD is a rhombus Prove: 1) ΔAEB ≅ ΔCEB 2) ∠ABE ≅ ∠CBE, ∠AEB ≅ ∠CEB Statements Reasons
DERIVITA HELP Question 2 Can Is Quiz: Summation In the figure above, what plane intersects plane VRS and plane XTS at point S? plane CHECK ANSWER muscular
Find g 609 2/2 i 300 Write your answer in simplest radical form. feet
Find f 609 9-/5 cm 309 Write your answer in simplest radical form_ centimeters
Find m V6 mi 450 450 Write your answer in simplest radical form: miles Submit
The figure P. Draw the image of the shape and label it. Copy the figure and point out the notation used. Given the rotation of 180 degrees, rotate the vertices of the image.
In the figure , 0 is the center of the circle. Segments AD and CD are tangent to circle 0_ Find: X = 054 yd
Find p. 7-2 450 450 Write your answer in simplest radical form_ units
Construct a ΔABC in which BC = 5 cm, ZA = 70°, and the median through A is of length 3.4 cm. Also, find the length of the altitude drawn from the vertex A on BC.
Question 7 (1 point) GH and IJ are chords in OF. Given GH = FK and JI = FL. Let GH = 38, FN = 7. How long is FL? Round to the tenths place. The figure is not drawn to scale.
10 ft 8 ft Find the circumference of a circle. Find the perimeter of this figure to the nearest hundredth. Use 3.14 to approximate pi. P = [ ? ] ft. Notice that only half of the circle is included in the figure.
Question 9 (1 point) Given DC and DB are tangent to OA. Let DC = 23 and AC 23. What is the length of DB? 'diagram is not drawn to scale
Question 8 (1 point) GH and IJ are chords in OF. Given GH = 1, FK = 1, JI = L, FL = 1, and FN = 4 FM. Let GH = 30 and FN = 10. How long is JR? The figure is not drawn to scale.
71 7 e1 'LI K WX 5 m UJ 3 0" W "2m N IH Hod 3 H81
Text: WMeyplus Course Hero Woi Nc odlullobls Sou Nacdiciodis Exit Optional 6-5: Mathxl for School; Mixed Review Recovery & Bonus Points 6.5.MR-10 Show that a quadrilateral with the given vertices is a parallelogram. Given: the side lengths of the quadrilateral, Find: the TE RA = Two exact…
Question 8 (1 point) GH and IJ are chords in OF. Given GH = FN + 2FM, FK = JI + 1FL and GH = 30, FN = 10. How long is JP? (The figure is not drawn to scale.)
shaded area of the Find the figure. ? Enter Me square units
Question 10 (1 point) Given that communications satellite is orbiting the earth 600 miles above the earth represented by DE in the diagram below: What_is the distance from the satellite to the horizon represented by DB and DC below? The radius of the earth is approximately 3960 miles (lt varies…
Find the area shaded in yellow [? ] square units
Text: ScnmSoEnEVnf SHZZVEuOhSAOVZbzHcKVTSADbSgq6AsZ42w/formResponse
Order the slide lengths FG, GL, FH, GH, (Note that the figure and H from least to greatest; not drawn to scale:) 582 568 630 600 Check
4x + 2 Sx Sx+5 X-10 2Y - 1 Bx+ 5 2x-2 _
What is the equation of the top half of the ellipse with an equation 6+4=17 0 2y 16 2y = V4 -y 2y V4 - z2 2y V16 22
Solve for the other missing lengths given only two measurements: 1. a = 4, b = 6 2. a = 8, c = 10 3. a = 5, c = 8 4. a = 9, m = 6 5. a = 12, h = 9 6. b = 6, c = 15 7. b = 12, n = 9 8. b = 4, n = 3 9. b = 10, h = 6 10. b = 11, h = 8 11. c = 18, m = 12 12. c = 15, n = 8 13. c = 20, m = 6 14. m =…
In the diagram below, we have that AB < BC, BM < AC, AB = 23, and CM = 263.004. Find: AM BM
Directions: Find the area of each triangle Area of the Triangle type vour answer_ units squared point
Order the side lengths DE, EF, and FD from least to greatest. (Note that the figure is not drawn to scale.)
Find the perimeter. 8.2 in. 2.8 in; 3.4 in; 4.5 in; 7.1 in; 10.8 in; ln 4
What is the surface area of the net of this 3-dimensional figure? 3 cm 6 cm 5 cm
Consider the following figure. Given: m∠RST = (2x - 10)', m∠TSV = (x + 7)', m∠RSV = (4(x - 7))' Find: x and m∠RSV in degrees x = m∠RSV = '
The point (21,82 passes through the line Ax + By + C = 0 if None of these Ay1 Bc1 +C =0 Ac1 + By1 + C = 0 Either statement is applicable
Given: bisects BD, ZAEZE Given: FQI5t FReTr Prove: AAKCZAFUC Subcomponent Identification Theorem Given Definition of Bisect Zacha ZDCE AARCEAEDC Prove APORZ 4TSk Subcomponent Lpretr BLL Given LPazT LACBADCE ASA Type it all please Given [MeNo and ZMezo Given: FQeSu QK-Stand PRemo Prove:…
Area of the Triangle
Is it possible for a line to have at most two points that have the same X- coordinate value? No Yes Depends on the slope Depends on the Y-intercept
Given the two similar flags shown below, find the perimeter of the larger flag: 15 Perimeter = 16 12
Determine if each statement is true: 1. PR = 1 2. SQ = LSTP 3. LQTR = LSTP 4. LQPT = 909 5. LSRT = LQPT If PORS is a rectangle and PORS is a square, explain why each statement is true.
In the diagram below: line a is parallel to line b line d is perpendicular to line e Angle 28 = 40 degrees Angle 8 = 60 degrees Find the measures of all other angles.
Determine if each statement is true if ABCD is a parallelogram. ABCD is a rhombus. In each case, if true, explain why: AD = CB ∠LAEC = ∠LBED ∠LAEC = ∠LAEB ∠LCEA = ∠LBEA
In kite ABCD, find the following angle measures. B 258° 85° A m∠ACD, m∠ABC, m∠BAC, m∠ADC
Baseless trapezoid SAND has diagonals SN = Sw + 13 and AD = IIw 5. Determine the value of w.
Motha is constructing a rectangular prism with volume exactly 79 cubic inches. What will be its dimensions? What will be its surface area? Jude is designing a plush activity toy for a baby. The toy will be a rectangular prism with surface area 864 square inches. Determine the maximum volume of…
Find the area of this circle: Use 3 for T A = Tr? 4 cm [?] cm?
You have a right circular cone of height 1530 mm and volume 2.2 x 10^3 in³. Calculate the base diameter of the cone. NOTE: For this problem, you will be graded on how well you write up your problem relative to what was discussed in lecture. HINT: Volume of cone - Google.
Select every statement below that is TRUE, use the definitions given in class and in the book. Every rectangle is a parallelogram. Every rhombus is a square. Every square is a rectangle. Every parallelogram is a quadrilateral. Every parallelogram is a rectangle. Every square is a…
Determine the values of the variables in the figure below, where AB ≅ CD and BC || DA. Determine the values of the variables in isosceles trapezoid CHLE below.
State what additional information is required in order to know that the triangles are congruent for the reason given. 13) AAS 14) ASA 15) SSS 16) SAS
Given: 5 AE bisects Bb, ZAELE Given: PQIST; PReTR Prove: AABCZAEDC Statements AReasons LAaLE Given Definition of Bisect ZACBEZDCE 4ABCZAEDC Prove: APQREATSR Seukml LPRZTR BELni Given ZPezT ZACBA ZDCE ASA Given: [MeNo, and ZMzzo Given: PQ_SU, QReST and PRaTo Prove: AMPLEANPO Statements HEAlLI 1…
Determine the values of the variables in the isosceles trapezoid TRAP. x = m =
Solve for x & y and determine if any sides are parallel: 99e (x+y+24)9 Sye (3x+5)8 559 C Diagram not drawn to scale!
Given the following equations for lines, answer the following questions: s(t) = (t + 2, 5t, 2t - 3) p(t) = (2, 3t - 3, 4t - 7) What is one point that is contained on both s(t) and p(t)? Find an equation of the plane that contains both lines and the coordinate point found in part 1. If the…
Find the area of this circle: Use 3 for m . = Tr2 10 ft [?] ft2
Find the value of X. 3x - 3
2 a) Find 0. (62.70) b) Find the side adjacent to 0. (4.13) Find the angle of the lower right corner: (27.39)
The mean center of the population of the United States is east and north of the median of the United States. The mean center is pulled towards the location of outliers more than the median.
Hunson and Lard are two fearless adventurers who face mathematical roadblocks and puzzles whenever they go on an adventure. They are currently facing a challenge where they need to cross a river that is surrounded by two high walls. A local gave them each a coil of rope that he said would be…
7) Based On the diagram below, calculate the hypotenuse using ONLY the three trig functions.
02 *s] The apothem ol this regular octagon is about 14,5 f, Area ol shaded region 1k
a) Find 0. (318) b) Find the side opposite to 0. (3.6) Find the angle of the upper left corner: (590_
a) Find the hypotenuse. (6.22) b) Find side adjacent to the 409 (4.77) 409 Find the angle of the upper right hand corner: (502)
Use 3 for " this circle: area of Find the % [?] ft2 A = Tr2
a) Find x. (5.49) b) Find h. (5.85) c) Find ϕ. (20°)
Question 18 of 18 Compute the following: Column Proof Plan Given: CI is the midpoint of HD IA = mz m2 > mzi Prove: Al > F
Find the area of this circle. Use 3 for T. A = Tr2 10 ft [?] ft2
The line Sx + 3 is the perpendicular bisector of MN and intersects MN at point A(-9, 6). Find the equation of MV in point-slope form.
Text: Select every statement below that is TRUE, using the definitions given in class and in the book: Every rhombus is a parallelogram. Every trapezoid is not a rectangle. Every square is a rhombus. Every rectangle is a square. Every rectangle is a parallelogram. …
Find the coordinates of the orthocenter of the triangle.
Janae is standing 55 ft from the monument at the circle downtown. If the height of the monument is 284 ft, write and solve an equation to find the angle of elevation from a point on the ground to the top of the monument. Round to the nearest hundredth. Angle of Elevation = degrees.
Innin - Practice Parallel Lines and Proportional Parts HAAD "pk 27, and &H Icot U 12, PS 27, and OT A4. Determine whether JK || NM. Justify your answer: JN = JL + J0, KM = 21, and ML = L1I - 4.K = 4, and NL = JH is a midsegment of AKLM. Find the value of €. 7. Find nd. Find x and y. MAPS…
Find the area of this circle Use 3 for T, A = Tr2 3 ft [?] ft2
Find the area of this circle: Use 3 for T. A = Tr2 12 cm [?] cm2
Chen Lee Bolt (1, 41, 441 #, and 40) [Lpteh JAbeia]
Text: A simplified version of the "predator-prey population model" is shown in the figure on the right. The top figure shows populations of hares and lynxes varying over a 9-year period in the 1800s, while the bottom figure shows the graph of the derivative of the hare population, determined by…
Find the area of this circle. Use 3 for T A = Tr? [?] cm2 12 cm
Find the exact value of the indicated trigonometric function, using the given information.\ $ an heta$ if $cos heta = frac{1}{5}$; terminal side of $ heta$ in Quadrant I.\ $ an heta = $
Write rule for the translation OLMN to Al M'N'. Use 4 rules for the translation.
Find the area of this circle. Use 3 for T A = Tr2 7 ft [2] ft2
6) In the figure below, 95 degrees and angle 2 are complementary: /95 118 5
Indicate the two quadrants 0 could terminate in if V3 2 cos 0 Quadrants or
Question 3 10 pts Given: 4 ABC &4 xYZ True or False BAC 24 ZYX True False
Find the remaining trigonometric functions of 0 if 4 Cos 0 = and 0 terminates in QI 5 sin 0 = Preview COS 0 = Preview tan 0 = Preview cot 0 = Preview sec @ = Preview Csc 0 = Preview
Find the remaining trigonometric functions of θ if sin θ = 12/13 and cos θ < 0. sin θ = 12/13 cos θ = -5/13 tan θ = 12/(-5) cot θ = -5/12 sec θ = -13/5 csc θ = 13/12
Draw 225 " in standard position Clear All Draw: Find a positive angle that is coterminal, Find a negative angle that is coterminal_
Find the remaining trigonometric functions of θ if θ = 13 and cos θ < 0: csc θ = sin θ = cos θ = tan θ = cot θ = sec θ =
Solve for x in the following right triangle. 22 11√3
Find the remaining sides of a 30-60-90 triangle if the shortest side is 3. Longest side: Preview Middle side: Preview
5 The degree measure of each exterior angle of a regular decagon is = Sx + 1. Solve for x represented by the expression
IF A = Zax + 3ay, B = -Zaxtaz, and C = Zay + 4az, the vector in the plane containing A and C and perpendicular to B is 8ax + Z0av + 16az Tdel Cun Pnd} bac.
Estimate, to the nearest degree, the angles that a diagonal of a box with dimensions 15 cm x 20 cm X 25 cm makes with the edges of the box:
Question 4 10 pts If ∆ABC ≅ ∆XYZ and AB = 8, BC = 10, AC = 15, and XZ = 3x - 6, then x Question 5 10 pts If ∆LMN ≅ ∆RST, then * = ? Given that LM = 10, MN = 14, LN = 18, and ST = Sx + 4
Find the area of this irregular figure: [? ] square feet 9 ft 15 ft 26 ft
Investigate the following limit: f(x) = {1 if x is an integer, 0 if x is not an integer. Find the limit as x approaches 1/2.
Use the circle and points to sketch an example of each of the three following terms: given tangent, secant, chord. b) Name the example you provided in the sketch above using proper circle notation. - Tangent - Chord - Secant LT 13
Complete the table and investigate the limit: lim X approaches from the left X approaches from the right 1.1 ~1.01 1.001 999 -0.99 ~0.9 f(x) -x - 5
The diameters of the circle are HE and GD. RIGF mDE = ~HGE = LT 14
9 in. 14 in. Find the area of the triangle shown above. [?] square inches
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