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Geometry Q&A Archive of August 15, 2022

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August 15 of 2022

Assume that ALMN = AXYZ. If LN = 3x + 7 and XZ = 2x + 10, find the length of XZ.
Two different shapes have the same area, 1Zlm? . One is square and the other is a rectangle. Four times the perimeter of the rectangle is equal to five times that of the square. Calculate the length and width of the rectangle.
The length of the bases of a trapezoid are 22cm and 15cm. What is the length of its median?
If two secant segments are drawn into a circle from an external point, then the product of the length of one secant segment and its external segment is equal to the product of the lengths of the other segment and its external segment. What theorem is being described? a) Chord-chord power…
Find the measure of the three missing angles in the parallelogram below. 103"
21 22. Which of the following figures are similar? X 10 10 Bc 3.5 10 [and I[ b. [and III c Iand III d.[, I and III
12. What is the complement of an angle whose measure is 549? a 140 b 590 769 d 1940
Calcula x 47 2x A (2x+1) T A) 10 D) 9 B) 8 E) 4 C) 12
Given vector u = (5, 0) and v = (4, 6), find a linear combination of the vectors u and v of the form au + bv that would result in the vector (6, 45). Do so by dragging the basis vectors (1, 0) and (0, 1) to overlap the vectors u and v shown on the grid. Great! Now count how many u's and v's…
Text: Decide whether each statement illustrates inductive reasoning or deductive reasoning: Jannan Wron won first place in the district division and regional level of a mathematics competition. She will win first place in the national level of the competition. If two angles are complementary,…
Question 1 (1 point) Determine and evaluate the slope of the line for the formula, given that the line passes through the point (6, -9) and has a slope of 5.
Select a correct answer. If vector U = <<*, and vector V = <<*, which graph shows the resulting vector for U - V?
What is the length of DE if DE is the square root of BC, where A and E are midpoints of AB and AC? 1e-7 IM 87 Zct 18am
Show that APQT is similar to APRS. 32 cm 16 cm 12 cm 24 cm
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary (4 Points) A) 18009 C) 3608 B) 12608 D) 9008
Determine the length of the radius of a circle, to the nearest tenth of a cm, if the arc length is 464 cm and sector angle is 185°. Your Answer:
Moses found the area of the rectangle below by creating triangles as shown: What is the area of one of the triangles? 16 units 24 units
(1) Use the picture below to answer questions and 2. What is the perimeter of the figure? 14 Mm 10 mm 10 Mm 14 Mm Your answer (2 ) What is the area of the figure? Your answer
What is the area of the shaded region? Use 3.14 for pi and round t the nearest tenth cm
A sprinkler is set to water the section of lawn represented by the shaded region in the circle below: 750" Which measurement is closest to the area of the lawn watered by this sprinkler? A) > 18 square feet B) 156 square feet C) 154 square feet
12) Find the value of x and the length of BE 12 2x X+4
In which quadrant does the point (-5, 0) lie? Quadrant Quadrant Quadrant No quadrant
The line intersects the circle in each of the following questions. Find the coordinates of each point of intersection: L: 7y + 34 = 3r C: x + 9 + 2 - 6y - 48 = 0
Based on the markings, I postulate that the triangles are congruent. 10,
For items 9-12 Tccr, the figure shown below represents the corresponding angle. AFVIS LEVI Figure B For items 9-12 Tccr
In the figure, the center of the circle, ZAOC = 220° and ZAXE = 96°. Find LABC.
In right triangle ABC, point D (not graphed) is on BC such that AD is an altitude. Determine the slope of AD and graph the segment.
Quadrilateral QUAD is a rectangle. Find the value of 'x'. DU = 26, QP = 2x + 7 4 3 2 13
Gien; Isosceles trapezoid KLMN has diagonals EN and KM. Name the bases. Name the two pairs of base angles. If mZN = 70, what is mAM? If mL = TS, what is MK? If mZM = mZK and Maac = 82, what is *7? If m1 = and v' = N, what is KM? MN = 56 cm. What is 10and #nal? LNZ = MAM. 3v + 7 and (N) = what…
17. A system of linear equations is shown below_ 3y -2x + 8 3y 2x + 8 Which of the following describes the graph of this system of linear equations in the standard (x-y) coordi- nate plane A Two distinct intersecting lines B_ Two parallel lines with positive slope C. Two parallel lines with…
Find IJ in rectangle GHI: 4V - 48 v + 5
What is the value of m? 3m 2 708
The radius of a circle is 14 ft. Find its circumference in terms of π.
A regular octagon has side lengths of 8 centimeters. What is the approximate area of the octagon? A. 309 cm² B. 618 cm² C. 512 cm² D. 473 cm²
The diagram shows parallelogram ABCD. a) Find the length of AC. b) Find the angle that the line AC makes with the line AD. c) Find the area of the parallelogram.
Fill in the sentence below with the description that most specifically applies to the quadrilateral below: 12 16 16 12 The quadrilateral is most specifically a because
In ΔOAB, OA = a and OB = b. P divides OA in the ratio 3:2 and Q divides OB in the ratio 3:2. Show that PQ is parallel to AB. Given that the length of AB is 10 cm, find the length of PG.
In the figure: Li I/ Lz Il LaIl L4; AB = 2, CD = 5, GH = 6, QR = 8, and PQ = FG = 2 R Al Je 2B1 F G L1 L2 L3 5 H The measure of FG is: 3 8 1 1 (D) LLa
Find the x- and y-intercepts of the line with equation 2x + 3y = 6. Solution: x-intercept: set y = 0 and solve for x. The x-intercept is (3, 0). y-intercept: set x = 0 and solve for y. The y-intercept is (0, 2). This is incorrect: What mistake was made?
Using concrete objects, you are going to show examples of a rectangle, square, and rhombus. Based on your chosen objects, show, prove, and discuss the theorems of rectangle, square, and rhombus.
Given Isosceles Triangle XYZ with ZY = ZZ and altitude AX AY = 4b + 3, AZ = 7b - 6, and m∠XAZ = 16m - 14.
The diameter of a circle is 2 feet: What is the area? d-2 ft Give the exact answer in simplest form. square feet
In the figure below, AABE ~ AACD. What is the distance across the pond? 85m ~ d m ~ ~ 60m 44m E
Find the missing values. Show all steps for full credit: (4 marks) Arc length AB = Area of sector CD = 158, r = 10, R = 9.
2 Solve for x 5 5
Which one of these conditions proves that the two triangles below are congruent? SSS SAS ASA RHS 11 cm 11 cm 17 cm 15 cm 17 cm 15 cm
The perimeter of a kitchen is 64 centimeters. The length of one side is 15. Find the length of each side of the kitchen. The sides are 1 cm, 16 cm, 14 cm, 26 cm, 18 cm, and 22 cm. Each side is centimeters more than half.
Side opposite of IH 2, Side opposite of GH Angle opposite to GFI Angle opposite to ZFIH 54 Angles consecutive to ZIHG Diagonals of quadrilateral FGHI
Find the Value of Y and u
Stanford equation R = 2.5 The Circle Center at the origin
'1 WJ 9 0J] WJ V 1 WJ 8 JI WJ
Sums of Arithmetic is shown below: 76 Fe2 Which system of inequalities describes the graph? 4x + 3y > 40 24 + 0.24x + 0.3y < 40 3x + 4y + 3 < 44 0.9x + 40 < 44 51 + 82x > 40
11. Which of the following angles are congruent to LIRS? ZSTR, ZRST, LTSR, ZRTS
Point One = (1,5) Point Two 5 (-1,1) Slope-Intercept Form: Check
0 < (n te pls Kon and then graph the pols gun after the dilation 4 √0.0844 ' C? 4 k0? LLL no-8" -6 10
4) 50 cm 3.) @CDAB at the right is a chombus with mZADB = 6x° and mZBDC = 80°. What is the value of x? b.) 13 c.) 23 d.) 25 a.) 9 4.) From the same figure in #3, what is mzABC? a.) 80° b.) 100° c.) 160° d.) 163°
Below are two triangles with their side lengths shown. Answer the questions about each triangle: Triangle 1: Side lengths: 15, 12 Compute the sum of the squares of the shorter lengths: 5^2 + 12^2 = 25 + 144 = 169 Compute the square of the longest length: 15^2 = 225 Triangle 2: Side lengths:…
(a) Supplementary angles: 2 and 207 (b) Vertical angles: and 2
X +-+A tx - 4 (xty)
Graph paper; draw the ABC whose vertices are A (3, 2), B (4, 2), and C (4, 0). Then draw the image of ABC by enlargement with the same center D (4, 2), B (4, 1), and E (6, 5). Find its center of enlargement and the scale factor.
Hj is tangent to OG. What Is GH? H 24 ft 25 ft GH ft
What theorem that says, If a parallelogram has one right angle, lhen It has four angles "? A Theorem on ~Parallelogram B Theorem on Rectangle C Theorem on Rhombus D Theorem on Trapezoid
Congruent triangles have the same shape and size. This means all corresponding parts are congruent.
13 Find the value of X, if the long leg is 12. 60'
Given LMAH = ZTAH, identify the angle bisector of ZMAT. Angle Bisector of ZMAT: 7h
Solve for r and y, (3 pts ) Total. 6 pts Given: AN || BE Solution: Solution;
Find the length of a segment whose endpoints are (12, 5) and (-8, 6). Express your answer to the nearest whole number: units 12 units 20 units 23 units
Find the equation of the line having a X-intercept -3 and a slope 2/3. NONE OF THESE 2x 3y - 9 = 0 2x - 3y - 6 = 0 2x - 3y + 6 = 0 2x - 3y + 9 = 0
Question Select multiple answers and then press Answer. Which of the following properties does a rhombus always have? It has a total internal angle of 360"_ It has congruent diagonals Its diagonals bisect opposite sides_ Its diagonals intersect at 90"
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 2 and AC = 8, what is the length of AB? Answer: x Submit Answer attempt 1 out of 2
9. The triangle has an area of 8 8/9 cm2 and a base 0f 3 Y cm What is the height?
Find the distance between the two points rounding to the nearest tenth (if necessary) (-2,8) and (3,4)
1. Point (1,0) ; Slope = 1
Writing an equation in standard form given the slope and a point A line passes through point (7, -1) and has a slope of -2. Write an equation in Ax + By = C form for this line. Use integers for A, B, and C.
Question 11: The missing - angle is number as your answer) degrees: (Just include the H1) ES
The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81= What is the approximate length of the radius of the circle? 0 A 11.03 units 5.19 units 3.51 units 10.38 units
Text: 18.01 Transformations Select the notation that maps ABC onto GHI (3,y) = 4(r - 6,y - m - 5) (I,y) = (c - 5,y - 6) + (2,9)iH LI (6 - ? 5 - y) (I,y) + (5 - z,6 - y)
Rhombus EFGH Is shown below. Give the coordinates of G and F; B() Is OD FOD E(0,0) 932 F (3,7)
Answer questions 1 and 2 given the midpoints of the sides of triangle ABC are L, M, and N. 1. If AB = 12, BC = 9, and CA = 15, what is the perimeter of LMCN? 2. What is the perimeter of AMNB?
Which number is found at point M on the number line? M 2 A 1.50 B 1,55 C 1.60 D 1.65
The diagram shows two sectors, OPQ and ORS, with common centre O. The radius of the sector OPQ and the radius of the sector ORS are in the ratio 3 : 5. Given the area of the sector ORS exceeds the area of the sector OPQ by 45 cm2. Find the radii of the sectors.
Geometry P.5 Similar triangles and indirect measurement JWK Find x: 46 m 36 m 92 m Write your answer as a whole number or a decimal. Do not round. meters
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object. Side 313 is inches long and side 3 is 3 inches long. Side 2 is 3 inches long and side 4 is 4 inches long. Side 5 is inches long and side 12 is 2 inches long. Side 6 is 45…
Try It 2 alternate interior angles interior angles on the same corresponding female exterior side of the transversal or none of these and stand stand 44 and 5 and L2 and 6
If corresponding congruent parts are marked, how can you prove that LOTH = ASON? ASA SSS SAS AAS
3: Two side length of kite is 7.8 cm and 11 cm. solve for perimeter of the kite
What is the value of g? 60*
The perimeter of right-angled triangle 180 cm and the length the shortest side 18 cm. find the length of the other two sides:
Apair of parallel lines is cut by a transversal What are the measures of the two marked angles? (3x m5)8 (2xh 15)8 650 and 1150 408 and 1400 40" and 400 0 750 and 1058
2. What IS the diameter of a circle with an area of 113 04 square centimeters Use 3 14 for T
John plans to build a rectangular raised garden in his backyard. He has 18 feet of plastic edging that he wants to use to build the perimeter of the garden. He knows that the literal equation for the perimeter of a rectangle is 2w, where Perimeter = Length + Width. But he is having trouble…
What is the area? Write your answer as a fraction or as a whole or mix 2 Yd 4 5 Vo
1 1 1 # j Ii 3 1 JWV 0 0 0 1 1 1 R 1 1
14 The figure below consists of a rectangle and a semicircle_ Find the perimeter of the figure. Use T = 3.14. 25 m 8 m
Use the plans to the right to complete the following: D2x Draw a line segment from point 5 to point 6. Then draw a line on the grid in order to connect the points in Table 4. Table 4: Km (L31 UL1I) Oxyl 61j 09 KJ 0z1_ 64 Create a figure that is symmetric about line * for each point in Table…
U (i S+X_->( N X # +
What is the equation of the circle that has a diameter with endpoints (4, 5) and (-2, -5)?
I "QT" = mnRT' (2T^2 + 3) (92 5) * , and mz RST (10x^2) " find mRT R S typC your answer_ mRTarc) - type your answer_
What is the angle of inclination of the line given by the equation 21x + 6y = 7?
A line passes through the points (-7, -1) and (-8, -2). What is its equation in slope- intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
If AABC is an isosceles triangle, which statement explains whether there is enough information to prove that LADBand ZCDB are right angles? A No, it is not known if ZA = ZC, so AABD and ACBD cannot be proven congruent. B No, it is not known if BD is the angle bisector of LABC or if D is the…
Let's Analyze Triangle Congruence Postulates. Identify the additional information needed to prove that the pair of triangles are congruent by the given postulate. 10. BY SSS
Which pairs of angles are equal in this diagram? 1) b = € e= g, and f = h 2) b = f c= g,and d= h 3) b = e; € = h; and d= g 04 b= a € = e and d= f
6 . Interchange the = and y-values of each ordered pair: (-1,-1) - (0,0) (1,1) (8,2) '(0,0) b (-1-1) c (L,1) d (2,-8) e (2,8)
Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, AE ∘ EC and DF ∘ EC. Prove: AEFD is a rectangle. Step Statement Reason 1 ABCD is a parallelogram, AE ∘ EC, DF ∘ EC Given 2 ∠AEB is a right angle Perpendicular lines form right angles 4 BC || AD…
10) In the accompanying diagram of a construction, what does PC represent? A) The perpendicular bisector of AB B) An altitude drawn to AB C) A median drawn to AB D) The bisector of ∠APB
In the figure, line l is parallel to line m, and angle z = 43° and angle r = 90°. What are the measures of angle 1 and angle 2?
Segment BD bisects Z ABC. Solve for €. Round to the nearest tenth, if necessary. (Image not necessarily to scale ) 18 20
Which graph represents the solution set to M = √(IEE + 1)?
The solution to which inequality is graphed below? 0 c+4 < 3 0 0-5 >4 0-2> -3 0 <-1 > 0
What is the measure of L2 if L1 is (2x 3)" and L2 is (8x)"? L2
The diagonals of a parallelogram intersect at the center of the parallelogram. Which of the following does NOT guarantee that quadrilateral ABCD is a parallelogram? LABD = BCBD, AB II ZD and BC II AD; TB = CD and BC = AD, LA = LB and ZC = LD; AB = BC and CD = AD, LA = lc; LB = LD; LA+LB = 180;…
Which algebraic equation determines the effect of FG? V) (*Y 8 6y 0 * ky ( Y (m +(1-Y)
In the diagram, mZJ = 39.50. Find mJK. 0 mJK = 790 0 mJK = 140.50 0 mJK = 50.50 0 mJK = 1018
The design for a road sign shows the layout for only half of the sign. What type of transformation can a designer use to create plans for the entire sign? b. Describe the transformation as accurately as possible: Reflection over the line x=0. Rotation around the origin. Reflection over the line…
Which equation could You set Up to estimale the length of segment QR? R 60?
Find the area and perimeter f the composite figure below: (Show your complete solutiond] 8 in 3 in 6 in 3 in in jo 3 in
Solve this system by Graphing: y = 3x - 4 & 4x + 2y = 2
A square has a side length of 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.
Use the figure to complete the statement The transformation from rectangle NOPQ to rectangle J KLM is aln) reduction with a scale factor of
The radius of a circle can be calculated using the formula r = d/2. What is the radius of this circle? a) What is 52.4 cm? b) What is the radius of this circle? 6.5 cm
Name: Yr 6 Maths Homework Date: Thurs 24 February Question 1: Here are some shapes on a 1cm square grid: What is the perimeter of shape A? Write the letter of the shape that has the smallest area. Response with the format below. 1. Corrected_text:
The figure below shows a circle with center O, diameter AP, and tangent PD. Which of the angles must be right angles? Select all that apply. LRPO, LUPD, LOPZ, LARP, LRAU, LAUP
For numbers 5 and 10, refer to the figure below: 5. What is mZ4 if mZ6 = 788? A. 78 B. 88 C. 92 D. 102 6. If mZ3 = 1029, what is mZ8? A. 459 B. 788 C. 1259 D. 135
In AFGH, FH is extended through point H to point I, mZFGH = (x - 2)8, mZGHI = (4x + 5)2, and mZHFG = (2 + 19)2. Find mHFG.
In the figure below, AE = EC = CD = DB = BA. Determine the measure of angle DAC.
Find the area of the triangle below. Be sure to include the correct unit in your answer. If necessary, refer to the list of geometry formulas.
Bạn hãy điền số thích hợp vào 0 trong: Cho tam giác MNP có M : N : P = 4 : 2 : 2. Kẻ MHLNP (H là NP), NH = Tcm. Độ dài đoạn thẳng MH bằng cm.
Title: Geometry Problem - Finding Midpoints and Lengths Text: Solve the following problem: Find the midpoints of RD and TN, respectively. Given that JKIND is a trapezoid, with X and Y as the midpoints of JK and IN, respectively. Given that XY = 5 cm and KI = 40 cm, find the lengths of…
8.46 5.98 90" 5.98 Scalene Obtuse Isosceles Acute Equilateral Scalene Right Isosceles Obtuse Isosceles Right Scalene Acute
Find the component form of the vector that translates P(4,5) to P' (do write the brackets, do not leave space in between) P'(-3,7)
10, What are the new coordinates of lhe line segment AB after Uie triangle has been enlarged by a scale factor of 4? 10 (6,8) and (7,5) (10,8) aud (4,12)
ALGEBRA In XYZ, mZ = 113° and mZX = 28°. What is mZY? a. 2190 b. 490 c. 390 d. 299
LAKT 2 Arithmetic Reasoning: If the ratio of the sides of two squares is 3:1, what is the ratio of their perimeters? A) 3:1 B) 4:1 C) 9:1 D) 12:1
Match the picture with the correct words: 1. Central angle 2. Intercepted arc 3. Semicircle 4. Segment
Page 97: Write the equation of a line parallel and perpendicular to the given line that passes through point 0 27 . y = (3/2)x + 4; Q(6, -1)
5. Solve the system of equations using graphing Need 40 conver+ X - 3y = -6 Zx - Y = 3
Doing moves along the arc of a circle with center A(2, 3). The arc passes through point O(2, 0) and R(5, 0). Find the equation of the locus of the point (6, k). Find the value of k.
GOLF On the 18th hole at Hilly Fines Golf Course, the circular green is surrounded by a ring of sand as shown in the figure. Find the area of the region covered by sand, assuming the hole acts as the pole for both equations and units are given in meters. 0 + 2sin θ + y = 6x - 2y = 39
True or False. Use Figure 4 to answer numbers 14 to 16. Shade A on the answer sheet if the statement is true and B if not. Figure 4: 14. The lengths of AC and BD are equal. 15. Diagonals AC and BD are perpendicular. 16. The diagonal AC bisects angle ZDCB.
A right isosceles triangle has equal sides of d cm and v2+d cm. Find of the hypotenuse in simplest radical form; the length
The movement of the progress bar may be uneven because questions can be worth more or less (incfuding zero) depending o Which inequality has the graph shown below? 0 vz - {x -2 0 y2 - 2x - 2 0 y < - Zx - 2 0 Y< - {x -2
222 22 E -2-W W*2 - 22-2-2 4 *2+17 = ?
16. JK is similar to AIKL. 12 in. 12 in. 18 in. What is the perimeter of triangle AIKL? A = 0.42 inches B = 8.03 inches C = 3.5 inches D = 0.31 inches E = 5 inches
Which transformation exhibits the similarity of triangles ABC and A'0'€' shown below? Triangle A'0'€' is the dilated image of triangle ABC. Triangle 0"€' is the rotated image of triangle Nc". Triangle 0"€' is the reflected image of triangle ABC. Triangle 0"€' is the translated image…
Amundc is 6cm longer than it is wide. If its area is the same as that of a square with side length #cm, find its dimensions.
Joaquin was studying the design of a regular hexagon inscribed in 3 circles, as shown below. Which statement correctly describes the relationship between the radius of the circumscribed circle and the length of a side of the hexagon? The length of the radius of the circle is twice the length of…
3. The median of a trapezoid is parallel poir to the bases and half the sum of the lengths of the bases True False- bases( it must be legs) False- half the sum of the bases (it must be twice the sum of the bases_
A vector $ has initial point (3,4) and terminal point (5,1). Write $ in component form
supplement: What are the measures of the two angles? An angle is 450 more than twice its
I. Write the letter before the number that best answer on each number or write the correct answer if in case the answer is not on the choices: Show your solution as needed and use separate sheet of paper w your name on it: Which angle has its vertex on a circle and has sides that contain chords…
Text: Can calculate arc measure. What are the values for x? RT and VS are diameters. Did I get it correct? Sx - 30/9 (8x + 14)5 Do both values of x make sense? Explain. Value.
Find h to the nearest tenth_ 250 360 The length of h is approximately (Round the final answer t0 the nearest tenth as needed, Round all intermediate values t0 the nearest tenth as needed: ) Soo
+ y^2 + 16x + 8y = 0. The General Form of the equation of a circle is x^2 + y^2 + Dx + Ey + F = 0. Write the equation in standard form: (x + 8)^2 + (y - 4)^2 = (4√5)^2
6. What is the length of side Ac
Find the area of the shaded region, if the side of the square is 4 cm: Area =
2. What composition aligns along map AABC from ATUV 2 F2 0 4 6 C " 2 4 A R 0 R X=1 Y =3 B T(1,2) 0 Rx=1 C Rz-0 oTie.2) D To) 0 r(go'" , ,0)
The congruent triangles are shown in the pictures. Write a statement and identify all the pairs of congruent corresponding parts. Congruent Sides: a. RS = ST, b. TR = TA Congruent Angles: LR = LS = LT Given: ∆CAT ≅ ∆BED, CA = 15, AT = 20, CT = 25, and DE = 3x + 7, find x.
GIVEN: N = puij (e = JV (q = 8V c) BC = (p = V7 (a = JI (J = jajauljad 99 = eaJv [s1d sT]
AABC and ADEF are similar Which statement is TRUE? Select one: a BC EF AC DE b_ AB DE CA FD C_ CA FD AB EF d. AB EF BC DE Clear my choice
Compute for the centroid of the shaded area on the figure shown below: boxes) (all units are in millimeters) 750 375 375 0200 8 750 375
In the figure, O is the center of the circles, AO = 30 cm, OC = 15 cm, and CD = 7 cm. Find BC.
Writing equations of lines parallel and perpendicular to a given line. Consider the line y = 8x - 4. Find the equation of the line that is parallel to this line and passes through the point (7, 4). Find the equation of the line that is perpendicular to this line and passes through the point (7,…
Graph the solution to the inequality on the number line: x < 69.5
In triangle PQR, PQ = 8 cm, QR = 7 cm, and ∠PQR = 60°. Find the exact difference in areas between the two possible triangles.
Determine the length of all three sides of the triangle: 4, 2, 3 C: 3, 5, 7, 12 B: 1 8, √11, √23 8, √13, and 129 14, 2, 7
T-344 The area Ol the inner circle is and the area 0l the ouler circle is
Iolgro '08orsg = triangle - OPR 4, Bad € &re (le = midpoints of OP, OR and PR respectively. Given RP = { and OR. Diagram Find √16 (5) R (3 marks) Let's express AB in terms of $ and &. Hence, state the relation between the lines PR and AB. [3 marks]
Find the values of the variables. Show your work. With the measures indicated, find the equation solution. In the space provided, answer the question. 87 209 4
Giving a reason for each answer, find: (a)(i) Angle BCA = Reason: (a)(ii) Angle ACE = Reason: (a)(iii) Angle CFE = Reason: (a)(iv) Angle CDE = Reason:
Plot the following points on a rectangular coordinate system. Identify the quadrant to which it belongs and the axis on which it lies. I.) (-3, -1), (4, 0), (0, 2), (2, -√2)
Given are the measures of the central angles of regular polygons. How many sides does each one have? a. 30° b. 720° c. 5°
Math Problem: Given a triangular prism ABC with base BC and height h, find the length of AB, the angle between SB and the plane ABC, the angle between SC and the plane ABC, and the angle between SC and the plane SAB.
Wat would be the most cortect description of the segment AB in relation t0 the cirele shown with center 02 Radius Diameter Chord Secant b C d.
Baiz Cho tam giác ABC cân tại B. Lấy E là trung Ä‘iểm của AC. a) Chứng minh rằng tam giác BAE bằng tam giác BCE. b) Từ E kéo EK vuông góc vá»›i AB tại K, EH vuông góc vá»›i BC tại H. Chứng minh tam giác AKE bằng tam giác CHE. Biết BE = 15 cm; KB…
Activity [ The seat and legs of these stool form two triangles. Name the six corresponding congruent angles and side es: B Name the two congruent triangles S
Ito DcClo O LC Ui#ic pctovy Calculate the length of the minor arc AB. Give your answer in centimeters (cm) to one decimal place: cm B A' 40 19 cm 0
PQRS is a kite. Diagonal PR and QS intersect at point T. If angle R measures 95 degrees, what is the measurement of angle RST? P 37 R S
A regular octagon is inscribed in a circle of radius 5v units. Find the area of the circle that is outside the octagon: Exerclse 2 Aa
b) Calculate the missing angles: 110" 145
with the given side lengths is right_triangle Determine whether triangle Not right triangle Not enough information Side lengths Right triangle 15 36, 39 6, 8, 10 10, 11, 15 8, 14, 16
A straight line which intersects the y-axis at point A and the x-axis at point B. The diagram shows the line. Find the gradient of the line and write down the equation for this line.
The figure is a semicircle. Find its perimeter. Use π = 3.14. 13 cm Solutions: Perimeter: cm
The perimeter of a triangle is 90 cm and the lengths of its sides are in the ratio 6:5:4. Find the length of the shortest side. a. 24 b. 30 c. 36 d. 42
The diagram shows a triangle: Calculate the area, in cm? , of the shaded region. cm 4cm D 6cm
Before February 14, Mark and his friends planned to go to Marquee Mall after their school to celebrate their single lives on Valentine's Day. But Renzford's mother only allowed him to go to nearby places. Now, they want to know the distance between their school and Marquee Mall. Find the…
Select the graph that best represents the incquality -15 2 € 7434-15416+8+1 -30 -25 -20 -15 -10 -30 -25 -20 .15 -10 +8}7, 436.346-15-10 } & }6 $ 2 40 -25 .30-15-10 .5 10 15 4+++ 30 -25 -20 -15 -10 25 30
Write a rule describing the following translation: P RL P' (X,y) ~ (x (Hint: The first blank after x & y is for the sign + or
Kích thước của hình đó là: Hình lập phương Độ dài cạnh 1.3 dm Diện tích một mặt dm² Diện tích toàn phần dm³ Thể tích dm³
Graph the solution of Vi F5 < 1,
Triangle Congruence Criteria Feb 18, 12:28:36 AM Watch hello video Determine the relationship between the two triangles and whether or not they can be proven to be congruent: The two triangles are related by the triangles. Submit Answers
Angle * Fs twice angle K: form an equation and Find the value of angle K.
Line perpendicular to the graph of the equation 41 equation for 40 and contains the point (4, 2) Find the Preview
The missing angle equals degrees 0 29 O 119 61 90
The diagram shows a rectangular enclosure, ABCD, with an area of 48m². One of the sides of the rectangle is 3m. The other three sides have fencing: AB = x m and BC = y m. Find y in terms of x. The total length of the fencing is L meters. Show that L = 2x. The table below shows some values for…
Find the area of the regular pentagon: 5.5 cm cm
Rajah 6 menunjukkan dua garis lurus, PQR dan QS, dilukis pada suatu Cartes_ Diagram 6 shows two straight lines, PQR and QS, drawn on a Cartesian plane: 2x = 8 Rajah 6 Diagram 6 Diberi OP = 20S. Persamaan garis lurus PQR ialah y + 2x = 8. Cari persamaan garis lurus QS: Beri jawapan dalam…
The lengths of the sides of an equilateral triangle are given in terms of two variables a and b: Side 1: (2a + b) cm, Side 2: (a - b) cm, Side 3: (30 - √b) cm. What is the perimeter of the triangle?
Test Prep What is the area of the ligure? 1m 2m Jm }mi 7m 8m Enter= the correct answer in the bor Show
3. Find the perimeter of a square, if the length of its diagonal is 2 Mm_
Assume that ALMN = AXYZ. If LN = 3x + 7 and XZ = 2x + 10, find the length of XZ.
Two different shapes have the same area, 1Zlm? . One is square and the other is a rectangle. Four times the perimeter of the rectangle is equal to five times that of the square. Calculate the length and width of the rectangle.
The length of the bases of a trapezoid are 22cm and 15cm. What is the length of its median?
If two secant segments are drawn into a circle from an external point, then the product of the length of one secant segment and its external segment is equal to the product of the lengths of the other segment and its external segment. What theorem is being described? a) Chord-chord power…
Find the measure of the three missing angles in the parallelogram below. 103"
21 22. Which of the following figures are similar? X 10 10 Bc 3.5 10 [and I[ b. [and III c Iand III d.[, I and III
12. What is the complement of an angle whose measure is 549? a 140 b 590 769 d 1940
Calcula x 47 2x A (2x+1) T A) 10 D) 9 B) 8 E) 4 C) 12
Given vector u = (5, 0) and v = (4, 6), find a linear combination of the vectors u and v of the form au + bv that would result in the vector (6, 45). Do so by dragging the basis vectors (1, 0) and (0, 1) to overlap the vectors u and v shown on the grid. Great! Now count how many u's and v's…
Text: Decide whether each statement illustrates inductive reasoning or deductive reasoning: Jannan Wron won first place in the district division and regional level of a mathematics competition. She will win first place in the national level of the competition. If two angles are complementary,…
Question 1 (1 point) Determine and evaluate the slope of the line for the formula, given that the line passes through the point (6, -9) and has a slope of 5.
Select a correct answer. If vector U = <<*, and vector V = <<*, which graph shows the resulting vector for U - V?
What is the length of DE if DE is the square root of BC, where A and E are midpoints of AB and AC? 1e-7 IM 87 Zct 18am
Show that APQT is similar to APRS. 32 cm 16 cm 12 cm 24 cm
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary (4 Points) A) 18009 C) 3608 B) 12608 D) 9008
Determine the length of the radius of a circle, to the nearest tenth of a cm, if the arc length is 464 cm and sector angle is 185°. Your Answer:
Moses found the area of the rectangle below by creating triangles as shown: What is the area of one of the triangles? 16 units 24 units
(1) Use the picture below to answer questions and 2. What is the perimeter of the figure? 14 Mm 10 mm 10 Mm 14 Mm Your answer (2 ) What is the area of the figure? Your answer
What is the area of the shaded region? Use 3.14 for pi and round t the nearest tenth cm
A sprinkler is set to water the section of lawn represented by the shaded region in the circle below: 750" Which measurement is closest to the area of the lawn watered by this sprinkler? A) > 18 square feet B) 156 square feet C) 154 square feet
12) Find the value of x and the length of BE 12 2x X+4
In which quadrant does the point (-5, 0) lie? Quadrant Quadrant Quadrant No quadrant
The line intersects the circle in each of the following questions. Find the coordinates of each point of intersection: L: 7y + 34 = 3r C: x + 9 + 2 - 6y - 48 = 0
Based on the markings, I postulate that the triangles are congruent. 10,
For items 9-12 Tccr, the figure shown below represents the corresponding angle. AFVIS LEVI Figure B For items 9-12 Tccr
In the figure, the center of the circle, ZAOC = 220° and ZAXE = 96°. Find LABC.
In right triangle ABC, point D (not graphed) is on BC such that AD is an altitude. Determine the slope of AD and graph the segment.
Quadrilateral QUAD is a rectangle. Find the value of 'x'. DU = 26, QP = 2x + 7 4 3 2 13
Gien; Isosceles trapezoid KLMN has diagonals EN and KM. Name the bases. Name the two pairs of base angles. If mZN = 70, what is mAM? If mL = TS, what is MK? If mZM = mZK and Maac = 82, what is *7? If m1 = and v' = N, what is KM? MN = 56 cm. What is 10and #nal? LNZ = MAM. 3v + 7 and (N) = what…
17. A system of linear equations is shown below_ 3y -2x + 8 3y 2x + 8 Which of the following describes the graph of this system of linear equations in the standard (x-y) coordi- nate plane A Two distinct intersecting lines B_ Two parallel lines with positive slope C. Two parallel lines with…
Find IJ in rectangle GHI: 4V - 48 v + 5
What is the value of m? 3m 2 708
The radius of a circle is 14 ft. Find its circumference in terms of π.
A regular octagon has side lengths of 8 centimeters. What is the approximate area of the octagon? A. 309 cm² B. 618 cm² C. 512 cm² D. 473 cm²
The diagram shows parallelogram ABCD. a) Find the length of AC. b) Find the angle that the line AC makes with the line AD. c) Find the area of the parallelogram.
Fill in the sentence below with the description that most specifically applies to the quadrilateral below: 12 16 16 12 The quadrilateral is most specifically a because
In ΔOAB, OA = a and OB = b. P divides OA in the ratio 3:2 and Q divides OB in the ratio 3:2. Show that PQ is parallel to AB. Given that the length of AB is 10 cm, find the length of PG.
In the figure: Li I/ Lz Il LaIl L4; AB = 2, CD = 5, GH = 6, QR = 8, and PQ = FG = 2 R Al Je 2B1 F G L1 L2 L3 5 H The measure of FG is: 3 8 1 1 (D) LLa
Find the x- and y-intercepts of the line with equation 2x + 3y = 6. Solution: x-intercept: set y = 0 and solve for x. The x-intercept is (3, 0). y-intercept: set x = 0 and solve for y. The y-intercept is (0, 2). This is incorrect: What mistake was made?
Using concrete objects, you are going to show examples of a rectangle, square, and rhombus. Based on your chosen objects, show, prove, and discuss the theorems of rectangle, square, and rhombus.
Given Isosceles Triangle XYZ with ZY = ZZ and altitude AX AY = 4b + 3, AZ = 7b - 6, and m∠XAZ = 16m - 14.
The diameter of a circle is 2 feet: What is the area? d-2 ft Give the exact answer in simplest form. square feet
In the figure below, AABE ~ AACD. What is the distance across the pond? 85m ~ d m ~ ~ 60m 44m E
Find the missing values. Show all steps for full credit: (4 marks) Arc length AB = Area of sector CD = 158, r = 10, R = 9.
2 Solve for x 5 5
Which one of these conditions proves that the two triangles below are congruent? SSS SAS ASA RHS 11 cm 11 cm 17 cm 15 cm 17 cm 15 cm
The perimeter of a kitchen is 64 centimeters. The length of one side is 15. Find the length of each side of the kitchen. The sides are 1 cm, 16 cm, 14 cm, 26 cm, 18 cm, and 22 cm. Each side is centimeters more than half.
Side opposite of IH 2, Side opposite of GH Angle opposite to GFI Angle opposite to ZFIH 54 Angles consecutive to ZIHG Diagonals of quadrilateral FGHI
Find the Value of Y and u
Stanford equation R = 2.5 The Circle Center at the origin
'1 WJ 9 0J] WJ V 1 WJ 8 JI WJ
Sums of Arithmetic is shown below: 76 Fe2 Which system of inequalities describes the graph? 4x + 3y > 40 24 + 0.24x + 0.3y < 40 3x + 4y + 3 < 44 0.9x + 40 < 44 51 + 82x > 40
11. Which of the following angles are congruent to LIRS? ZSTR, ZRST, LTSR, ZRTS
Point One = (1,5) Point Two 5 (-1,1) Slope-Intercept Form: Check
0 < (n te pls Kon and then graph the pols gun after the dilation 4 √0.0844 ' C? 4 k0? LLL no-8" -6 10
4) 50 cm 3.) @CDAB at the right is a chombus with mZADB = 6x° and mZBDC = 80°. What is the value of x? b.) 13 c.) 23 d.) 25 a.) 9 4.) From the same figure in #3, what is mzABC? a.) 80° b.) 100° c.) 160° d.) 163°
Below are two triangles with their side lengths shown. Answer the questions about each triangle: Triangle 1: Side lengths: 15, 12 Compute the sum of the squares of the shorter lengths: 5^2 + 12^2 = 25 + 144 = 169 Compute the square of the longest length: 15^2 = 225 Triangle 2: Side lengths:…
(a) Supplementary angles: 2 and 207 (b) Vertical angles: and 2
X +-+A tx - 4 (xty)
Graph paper; draw the ABC whose vertices are A (3, 2), B (4, 2), and C (4, 0). Then draw the image of ABC by enlargement with the same center D (4, 2), B (4, 1), and E (6, 5). Find its center of enlargement and the scale factor.
Hj is tangent to OG. What Is GH? H 24 ft 25 ft GH ft
What theorem that says, If a parallelogram has one right angle, lhen It has four angles "? A Theorem on ~Parallelogram B Theorem on Rectangle C Theorem on Rhombus D Theorem on Trapezoid
Congruent triangles have the same shape and size. This means all corresponding parts are congruent.
13 Find the value of X, if the long leg is 12. 60'
Given LMAH = ZTAH, identify the angle bisector of ZMAT. Angle Bisector of ZMAT: 7h
Solve for r and y, (3 pts ) Total. 6 pts Given: AN || BE Solution: Solution;
Find the length of a segment whose endpoints are (12, 5) and (-8, 6). Express your answer to the nearest whole number: units 12 units 20 units 23 units
Find the equation of the line having a X-intercept -3 and a slope 2/3. NONE OF THESE 2x 3y - 9 = 0 2x - 3y - 6 = 0 2x - 3y + 6 = 0 2x - 3y + 9 = 0
Question Select multiple answers and then press Answer. Which of the following properties does a rhombus always have? It has a total internal angle of 360"_ It has congruent diagonals Its diagonals bisect opposite sides_ Its diagonals intersect at 90"
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 2 and AC = 8, what is the length of AB? Answer: x Submit Answer attempt 1 out of 2
9. The triangle has an area of 8 8/9 cm2 and a base 0f 3 Y cm What is the height?
Find the distance between the two points rounding to the nearest tenth (if necessary) (-2,8) and (3,4)
1. Point (1,0) ; Slope = 1
Writing an equation in standard form given the slope and a point A line passes through point (7, -1) and has a slope of -2. Write an equation in Ax + By = C form for this line. Use integers for A, B, and C.
Question 11: The missing - angle is number as your answer) degrees: (Just include the H1) ES
The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81= What is the approximate length of the radius of the circle? 0 A 11.03 units 5.19 units 3.51 units 10.38 units
Text: 18.01 Transformations Select the notation that maps ABC onto GHI (3,y) = 4(r - 6,y - m - 5) (I,y) = (c - 5,y - 6) + (2,9)iH LI (6 - ? 5 - y) (I,y) + (5 - z,6 - y)
Rhombus EFGH Is shown below. Give the coordinates of G and F; B() Is OD FOD E(0,0) 932 F (3,7)
Answer questions 1 and 2 given the midpoints of the sides of triangle ABC are L, M, and N. 1. If AB = 12, BC = 9, and CA = 15, what is the perimeter of LMCN? 2. What is the perimeter of AMNB?
Which number is found at point M on the number line? M 2 A 1.50 B 1,55 C 1.60 D 1.65
The diagram shows two sectors, OPQ and ORS, with common centre O. The radius of the sector OPQ and the radius of the sector ORS are in the ratio 3 : 5. Given the area of the sector ORS exceeds the area of the sector OPQ by 45 cm2. Find the radii of the sectors.
Geometry P.5 Similar triangles and indirect measurement JWK Find x: 46 m 36 m 92 m Write your answer as a whole number or a decimal. Do not round. meters
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object. Side 313 is inches long and side 3 is 3 inches long. Side 2 is 3 inches long and side 4 is 4 inches long. Side 5 is inches long and side 12 is 2 inches long. Side 6 is 45…
Try It 2 alternate interior angles interior angles on the same corresponding female exterior side of the transversal or none of these and stand stand 44 and 5 and L2 and 6
If corresponding congruent parts are marked, how can you prove that LOTH = ASON? ASA SSS SAS AAS
3: Two side length of kite is 7.8 cm and 11 cm. solve for perimeter of the kite
What is the value of g? 60*
The perimeter of right-angled triangle 180 cm and the length the shortest side 18 cm. find the length of the other two sides:
Apair of parallel lines is cut by a transversal What are the measures of the two marked angles? (3x m5)8 (2xh 15)8 650 and 1150 408 and 1400 40" and 400 0 750 and 1058
2. What IS the diameter of a circle with an area of 113 04 square centimeters Use 3 14 for T
John plans to build a rectangular raised garden in his backyard. He has 18 feet of plastic edging that he wants to use to build the perimeter of the garden. He knows that the literal equation for the perimeter of a rectangle is 2w, where Perimeter = Length + Width. But he is having trouble…
What is the area? Write your answer as a fraction or as a whole or mix 2 Yd 4 5 Vo
1 1 1 # j Ii 3 1 JWV 0 0 0 1 1 1 R 1 1
14 The figure below consists of a rectangle and a semicircle_ Find the perimeter of the figure. Use T = 3.14. 25 m 8 m
Use the plans to the right to complete the following: D2x Draw a line segment from point 5 to point 6. Then draw a line on the grid in order to connect the points in Table 4. Table 4: Km (L31 UL1I) Oxyl 61j 09 KJ 0z1_ 64 Create a figure that is symmetric about line * for each point in Table…
U (i S+X_->( N X # +
What is the equation of the circle that has a diameter with endpoints (4, 5) and (-2, -5)?
I "QT" = mnRT' (2T^2 + 3) (92 5) * , and mz RST (10x^2) " find mRT R S typC your answer_ mRTarc) - type your answer_
What is the angle of inclination of the line given by the equation 21x + 6y = 7?
A line passes through the points (-7, -1) and (-8, -2). What is its equation in slope- intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
If AABC is an isosceles triangle, which statement explains whether there is enough information to prove that LADBand ZCDB are right angles? A No, it is not known if ZA = ZC, so AABD and ACBD cannot be proven congruent. B No, it is not known if BD is the angle bisector of LABC or if D is the…
Let's Analyze Triangle Congruence Postulates. Identify the additional information needed to prove that the pair of triangles are congruent by the given postulate. 10. BY SSS
Which pairs of angles are equal in this diagram? 1) b = € e= g, and f = h 2) b = f c= g,and d= h 3) b = e; € = h; and d= g 04 b= a € = e and d= f
6 . Interchange the = and y-values of each ordered pair: (-1,-1) - (0,0) (1,1) (8,2) '(0,0) b (-1-1) c (L,1) d (2,-8) e (2,8)
Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, AE ∘ EC and DF ∘ EC. Prove: AEFD is a rectangle. Step Statement Reason 1 ABCD is a parallelogram, AE ∘ EC, DF ∘ EC Given 2 ∠AEB is a right angle Perpendicular lines form right angles 4 BC || AD…
10) In the accompanying diagram of a construction, what does PC represent? A) The perpendicular bisector of AB B) An altitude drawn to AB C) A median drawn to AB D) The bisector of ∠APB
In the figure, line l is parallel to line m, and angle z = 43° and angle r = 90°. What are the measures of angle 1 and angle 2?
Segment BD bisects Z ABC. Solve for €. Round to the nearest tenth, if necessary. (Image not necessarily to scale ) 18 20
Which graph represents the solution set to M = √(IEE + 1)?
The solution to which inequality is graphed below? 0 c+4 < 3 0 0-5 >4 0-2> -3 0 <-1 > 0
What is the measure of L2 if L1 is (2x 3)" and L2 is (8x)"? L2
The diagonals of a parallelogram intersect at the center of the parallelogram. Which of the following does NOT guarantee that quadrilateral ABCD is a parallelogram? LABD = BCBD, AB II ZD and BC II AD; TB = CD and BC = AD, LA = LB and ZC = LD; AB = BC and CD = AD, LA = lc; LB = LD; LA+LB = 180;…
Which algebraic equation determines the effect of FG? V) (*Y 8 6y 0 * ky ( Y (m +(1-Y)
In the diagram, mZJ = 39.50. Find mJK. 0 mJK = 790 0 mJK = 140.50 0 mJK = 50.50 0 mJK = 1018
The design for a road sign shows the layout for only half of the sign. What type of transformation can a designer use to create plans for the entire sign? b. Describe the transformation as accurately as possible: Reflection over the line x=0. Rotation around the origin. Reflection over the line…
Which equation could You set Up to estimale the length of segment QR? R 60?
Find the area and perimeter f the composite figure below: (Show your complete solutiond] 8 in 3 in 6 in 3 in in jo 3 in
Solve this system by Graphing: y = 3x - 4 & 4x + 2y = 2
A square has a side length of 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.
Use the figure to complete the statement The transformation from rectangle NOPQ to rectangle J KLM is aln) reduction with a scale factor of
The radius of a circle can be calculated using the formula r = d/2. What is the radius of this circle? a) What is 52.4 cm? b) What is the radius of this circle? 6.5 cm
Name: Yr 6 Maths Homework Date: Thurs 24 February Question 1: Here are some shapes on a 1cm square grid: What is the perimeter of shape A? Write the letter of the shape that has the smallest area. Response with the format below. 1. Corrected_text:
The figure below shows a circle with center O, diameter AP, and tangent PD. Which of the angles must be right angles? Select all that apply. LRPO, LUPD, LOPZ, LARP, LRAU, LAUP
For numbers 5 and 10, refer to the figure below: 5. What is mZ4 if mZ6 = 788? A. 78 B. 88 C. 92 D. 102 6. If mZ3 = 1029, what is mZ8? A. 459 B. 788 C. 1259 D. 135
In AFGH, FH is extended through point H to point I, mZFGH = (x - 2)8, mZGHI = (4x + 5)2, and mZHFG = (2 + 19)2. Find mHFG.
In the figure below, AE = EC = CD = DB = BA. Determine the measure of angle DAC.
Find the area of the triangle below. Be sure to include the correct unit in your answer. If necessary, refer to the list of geometry formulas.
Bạn hãy điền số thích hợp vào 0 trong: Cho tam giác MNP có M : N : P = 4 : 2 : 2. Kẻ MHLNP (H là NP), NH = Tcm. Độ dài đoạn thẳng MH bằng cm.
Title: Geometry Problem - Finding Midpoints and Lengths Text: Solve the following problem: Find the midpoints of RD and TN, respectively. Given that JKIND is a trapezoid, with X and Y as the midpoints of JK and IN, respectively. Given that XY = 5 cm and KI = 40 cm, find the lengths of…
8.46 5.98 90" 5.98 Scalene Obtuse Isosceles Acute Equilateral Scalene Right Isosceles Obtuse Isosceles Right Scalene Acute
Find the component form of the vector that translates P(4,5) to P' (do write the brackets, do not leave space in between) P'(-3,7)
10, What are the new coordinates of lhe line segment AB after Uie triangle has been enlarged by a scale factor of 4? 10 (6,8) and (7,5) (10,8) aud (4,12)
ALGEBRA In XYZ, mZ = 113° and mZX = 28°. What is mZY? a. 2190 b. 490 c. 390 d. 299
LAKT 2 Arithmetic Reasoning: If the ratio of the sides of two squares is 3:1, what is the ratio of their perimeters? A) 3:1 B) 4:1 C) 9:1 D) 12:1
Match the picture with the correct words: 1. Central angle 2. Intercepted arc 3. Semicircle 4. Segment
Page 97: Write the equation of a line parallel and perpendicular to the given line that passes through point 0 27 . y = (3/2)x + 4; Q(6, -1)
5. Solve the system of equations using graphing Need 40 conver+ X - 3y = -6 Zx - Y = 3
Doing moves along the arc of a circle with center A(2, 3). The arc passes through point O(2, 0) and R(5, 0). Find the equation of the locus of the point (6, k). Find the value of k.
GOLF On the 18th hole at Hilly Fines Golf Course, the circular green is surrounded by a ring of sand as shown in the figure. Find the area of the region covered by sand, assuming the hole acts as the pole for both equations and units are given in meters. 0 + 2sin θ + y = 6x - 2y = 39
True or False. Use Figure 4 to answer numbers 14 to 16. Shade A on the answer sheet if the statement is true and B if not. Figure 4: 14. The lengths of AC and BD are equal. 15. Diagonals AC and BD are perpendicular. 16. The diagonal AC bisects angle ZDCB.
A right isosceles triangle has equal sides of d cm and v2+d cm. Find of the hypotenuse in simplest radical form; the length
The movement of the progress bar may be uneven because questions can be worth more or less (incfuding zero) depending o Which inequality has the graph shown below? 0 vz - {x -2 0 y2 - 2x - 2 0 y < - Zx - 2 0 Y< - {x -2
222 22 E -2-W W*2 - 22-2-2 4 *2+17 = ?
16. JK is similar to AIKL. 12 in. 12 in. 18 in. What is the perimeter of triangle AIKL? A = 0.42 inches B = 8.03 inches C = 3.5 inches D = 0.31 inches E = 5 inches
Which transformation exhibits the similarity of triangles ABC and A'0'€' shown below? Triangle A'0'€' is the dilated image of triangle ABC. Triangle 0"€' is the rotated image of triangle Nc". Triangle 0"€' is the reflected image of triangle ABC. Triangle 0"€' is the translated image…
Amundc is 6cm longer than it is wide. If its area is the same as that of a square with side length #cm, find its dimensions.
Joaquin was studying the design of a regular hexagon inscribed in 3 circles, as shown below. Which statement correctly describes the relationship between the radius of the circumscribed circle and the length of a side of the hexagon? The length of the radius of the circle is twice the length of…
3. The median of a trapezoid is parallel poir to the bases and half the sum of the lengths of the bases True False- bases( it must be legs) False- half the sum of the bases (it must be twice the sum of the bases_
A vector $ has initial point (3,4) and terminal point (5,1). Write $ in component form
supplement: What are the measures of the two angles? An angle is 450 more than twice its
I. Write the letter before the number that best answer on each number or write the correct answer if in case the answer is not on the choices: Show your solution as needed and use separate sheet of paper w your name on it: Which angle has its vertex on a circle and has sides that contain chords…
Text: Can calculate arc measure. What are the values for x? RT and VS are diameters. Did I get it correct? Sx - 30/9 (8x + 14)5 Do both values of x make sense? Explain. Value.
Find h to the nearest tenth_ 250 360 The length of h is approximately (Round the final answer t0 the nearest tenth as needed, Round all intermediate values t0 the nearest tenth as needed: ) Soo
+ y^2 + 16x + 8y = 0. The General Form of the equation of a circle is x^2 + y^2 + Dx + Ey + F = 0. Write the equation in standard form: (x + 8)^2 + (y - 4)^2 = (4√5)^2
6. What is the length of side Ac
Find the area of the shaded region, if the side of the square is 4 cm: Area =
2. What composition aligns along map AABC from ATUV 2 F2 0 4 6 C " 2 4 A R 0 R X=1 Y =3 B T(1,2) 0 Rx=1 C Rz-0 oTie.2) D To) 0 r(go'" , ,0)
The congruent triangles are shown in the pictures. Write a statement and identify all the pairs of congruent corresponding parts. Congruent Sides: a. RS = ST, b. TR = TA Congruent Angles: LR = LS = LT Given: ∆CAT ≅ ∆BED, CA = 15, AT = 20, CT = 25, and DE = 3x + 7, find x.
GIVEN: N = puij (e = JV (q = 8V c) BC = (p = V7 (a = JI (J = jajauljad 99 = eaJv [s1d sT]
AABC and ADEF are similar Which statement is TRUE? Select one: a BC EF AC DE b_ AB DE CA FD C_ CA FD AB EF d. AB EF BC DE Clear my choice
Compute for the centroid of the shaded area on the figure shown below: boxes) (all units are in millimeters) 750 375 375 0200 8 750 375
In the figure, O is the center of the circles, AO = 30 cm, OC = 15 cm, and CD = 7 cm. Find BC.
Writing equations of lines parallel and perpendicular to a given line. Consider the line y = 8x - 4. Find the equation of the line that is parallel to this line and passes through the point (7, 4). Find the equation of the line that is perpendicular to this line and passes through the point (7,…
Graph the solution to the inequality on the number line: x < 69.5
In triangle PQR, PQ = 8 cm, QR = 7 cm, and ∠PQR = 60°. Find the exact difference in areas between the two possible triangles.
Determine the length of all three sides of the triangle: 4, 2, 3 C: 3, 5, 7, 12 B: 1 8, √11, √23 8, √13, and 129 14, 2, 7
T-344 The area Ol the inner circle is and the area 0l the ouler circle is
Iolgro '08orsg = triangle - OPR 4, Bad € &re (le = midpoints of OP, OR and PR respectively. Given RP = { and OR. Diagram Find √16 (5) R (3 marks) Let's express AB in terms of $ and &. Hence, state the relation between the lines PR and AB. [3 marks]
Find the values of the variables. Show your work. With the measures indicated, find the equation solution. In the space provided, answer the question. 87 209 4
Giving a reason for each answer, find: (a)(i) Angle BCA = Reason: (a)(ii) Angle ACE = Reason: (a)(iii) Angle CFE = Reason: (a)(iv) Angle CDE = Reason:
Plot the following points on a rectangular coordinate system. Identify the quadrant to which it belongs and the axis on which it lies. I.) (-3, -1), (4, 0), (0, 2), (2, -√2)
Given are the measures of the central angles of regular polygons. How many sides does each one have? a. 30° b. 720° c. 5°
Math Problem: Given a triangular prism ABC with base BC and height h, find the length of AB, the angle between SB and the plane ABC, the angle between SC and the plane ABC, and the angle between SC and the plane SAB.
Wat would be the most cortect description of the segment AB in relation t0 the cirele shown with center 02 Radius Diameter Chord Secant b C d.
Baiz Cho tam giác ABC cân tại B. Lấy E là trung Ä‘iểm của AC. a) Chứng minh rằng tam giác BAE bằng tam giác BCE. b) Từ E kéo EK vuông góc vá»›i AB tại K, EH vuông góc vá»›i BC tại H. Chứng minh tam giác AKE bằng tam giác CHE. Biết BE = 15 cm; KB…
Activity [ The seat and legs of these stool form two triangles. Name the six corresponding congruent angles and side es: B Name the two congruent triangles S
Ito DcClo O LC Ui#ic pctovy Calculate the length of the minor arc AB. Give your answer in centimeters (cm) to one decimal place: cm B A' 40 19 cm 0
PQRS is a kite. Diagonal PR and QS intersect at point T. If angle R measures 95 degrees, what is the measurement of angle RST? P 37 R S
A regular octagon is inscribed in a circle of radius 5v units. Find the area of the circle that is outside the octagon: Exerclse 2 Aa
b) Calculate the missing angles: 110" 145
with the given side lengths is right_triangle Determine whether triangle Not right triangle Not enough information Side lengths Right triangle 15 36, 39 6, 8, 10 10, 11, 15 8, 14, 16
A straight line which intersects the y-axis at point A and the x-axis at point B. The diagram shows the line. Find the gradient of the line and write down the equation for this line.
The figure is a semicircle. Find its perimeter. Use π = 3.14. 13 cm Solutions: Perimeter: cm
The perimeter of a triangle is 90 cm and the lengths of its sides are in the ratio 6:5:4. Find the length of the shortest side. a. 24 b. 30 c. 36 d. 42
The diagram shows a triangle: Calculate the area, in cm? , of the shaded region. cm 4cm D 6cm
Before February 14, Mark and his friends planned to go to Marquee Mall after their school to celebrate their single lives on Valentine's Day. But Renzford's mother only allowed him to go to nearby places. Now, they want to know the distance between their school and Marquee Mall. Find the…
Select the graph that best represents the incquality -15 2 € 7434-15416+8+1 -30 -25 -20 -15 -10 -30 -25 -20 .15 -10 +8}7, 436.346-15-10 } & }6 $ 2 40 -25 .30-15-10 .5 10 15 4+++ 30 -25 -20 -15 -10 25 30
Write a rule describing the following translation: P RL P' (X,y) ~ (x (Hint: The first blank after x & y is for the sign + or
Kích thước của hình đó là: Hình lập phương Độ dài cạnh 1.3 dm Diện tích một mặt dm² Diện tích toàn phần dm³ Thể tích dm³
Graph the solution of Vi F5 < 1,
Triangle Congruence Criteria Feb 18, 12:28:36 AM Watch hello video Determine the relationship between the two triangles and whether or not they can be proven to be congruent: The two triangles are related by the triangles. Submit Answers
Angle * Fs twice angle K: form an equation and Find the value of angle K.
Line perpendicular to the graph of the equation 41 equation for 40 and contains the point (4, 2) Find the Preview
The missing angle equals degrees 0 29 O 119 61 90
The diagram shows a rectangular enclosure, ABCD, with an area of 48m². One of the sides of the rectangle is 3m. The other three sides have fencing: AB = x m and BC = y m. Find y in terms of x. The total length of the fencing is L meters. Show that L = 2x. The table below shows some values for…
Find the area of the regular pentagon: 5.5 cm cm
Rajah 6 menunjukkan dua garis lurus, PQR dan QS, dilukis pada suatu Cartes_ Diagram 6 shows two straight lines, PQR and QS, drawn on a Cartesian plane: 2x = 8 Rajah 6 Diagram 6 Diberi OP = 20S. Persamaan garis lurus PQR ialah y + 2x = 8. Cari persamaan garis lurus QS: Beri jawapan dalam…
The lengths of the sides of an equilateral triangle are given in terms of two variables a and b: Side 1: (2a + b) cm, Side 2: (a - b) cm, Side 3: (30 - √b) cm. What is the perimeter of the triangle?
Test Prep What is the area of the ligure? 1m 2m Jm }mi 7m 8m Enter= the correct answer in the bor Show
3. Find the perimeter of a square, if the length of its diagonal is 2 Mm_
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