In the diagram, ABCDE ~ QRSTU, find the values of x, y, and z. 5 B 120 S T A R 18 8 5 24 D Q X U E X = Y = Z =

Q: Find the values of w, x, y, and z. B. 70° 70 y y=.

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Q: 2. Find the measure of ZC if the measure of ZB is 45°. a 135° b. 120° c. 90 d. 45° B.

A: we know that, for triangle ABC, the sum of all angles = 180 also if 2 sides are equal then the…

Q: Identify and sketch a) wーg+ 14z?=4 b) 2 2 | 9 16

A: Let's find.

Q: Q3/ Find 52 Z -R(かy) y =y(s,t) x =x (sit) こ

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Q: 9. When X = 120 and n = 406, what is the approximate value of ĝ? A. 0.296 B. 0.704 C. 120 D. 406…

A: The known values are, X = 120, n =406 The value of is

Q: 5. Find the measures of ZX and Y 19. X Z 164° V Y 102° W

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Q: VWXYZ - GFEIH, What is mZW? 135° 100° 129° 135° E 75° H. I w/

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Q: What is the measure of WVY? W 47.3 X, Y

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Q: 4. Given ACBA = AHKI, find the values of x and y. K (2x +,18)° A 52 H. (3y+ 11)° B A E

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Q: LA and ZB are supplements, m LA = 2x – 14. and m LB = x + 8. Find the measure of Z B. а. 62 b. 30 с.…

A: Given: m∠A=2x-14    and  m∠B=x+8 Concept Used: Two angles are supplement angles if their sum is 180…

Q: 4 Use the diagram below to find the measure of XY 103° 41° W Z. Y mXY

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Q: Which of the following is equivalent to 1? c. (-1) d. 13* 1. a. 13 + 12 b. 54 x 5* 134

A: Option b is correct . Please see below for solution

Q: HIJK N URST. What is mZK? T K 123° 110° 48° I 79° H 48° R mZK =

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Q: What values of v and w make APQR AUST? R W 45 Q V = W = 20

A: Here we will find v and w,

Q: 30. In the figure below, k | m. (3x +20) y (5x+40) (Not drawn to scale) What is the value of y? A. y…

A: Given that, There are two parallel lines k and m. and n is a transversal of k and m. there are three…

Q: Find the value of x, y, and z. В yo 53° A wo 20 D

A: We will use the properties of the parallelogram to solve this question.

Q: Su ppose P(X|Y)=,P(Y)=-. Then the value of P (XnY)is 1 (a) 12 (b) 23 24 (d) 24 Answer B C

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Q: What is the measure of ZRST?? T. 80° R A. 20 degree O C. 80 degree B. 40 degree O D. 160 degree

A: The arc is a portion of a circle. The measure of an arc is congruent to the measure of its central…

Q: What values of v and w make APQR AUST? V. R 45 20

A: Given: △PQR≅△UST PQ=20, PR=wUS=v, UT=45

Q: O Given AUVW ATSR, find the values of x, y, and z. V 50 R T 12x-7 57 5y- 33 53 U S 3z + 14 W

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Q: 6) d=, 49 6.

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Q: 7. If PORS ~ WXYZ, find the value of x. Z 40 32 Y R 75 S

A: If two quadrilateral are similar then ratio of all sides and all angles are equal. Q1 and Q2 are two…

Q: EFGH ~ XYZW. What is mZX? E Y 52° H. 122° 134° W mZX = hp

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Q: M.SAU = T 80° 118° S R •Z

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…

Q: Evaluate -(p v q) ^ (r v ~q) using the table below: T. T. T T

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Q: In the diagram below, AB || CD, EF || GH, and m/IKD = 117°. Find MZAJL. D F• K117° H L J A

A: When a transversal line cuts two parallel line then corresponding angles made by them are equal and…

Q: 7. Calculate the value of x and y in the figures. b. a. P 3x 70° 50° 50° D 164

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Q: In the diagram below v=? w=? x=? y=? z=? 65 V 42 y 46 42

A: the sum of all the angles inside a triangle is equal to 180.

Q: What values of y and z make AVWX ATSU? 4z W y+35 By z+12 5.

A: In congreuent triangles, corresponding sides and angles are equal.

Q: 5. In the given figure, SR =7, RM = 12, AP = x, PM = 13 respectively. What is the measure of x?…

A: The lines SM,MA are the secent lines.

Q: 5. In the given figure, SR =7, RM = 12, AP = x, PM = 13 respectively. What is the measure of x?…

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Q: RS QT. Find PQ. 10 Q. T 34 20 R PQ = %3D Submit P.

A: See the triangles, ∆PQT and ∆PRS, RS∥QT ....   Given m∠P is common to both triangles ∆PQT and ∆PRS…

Q: C₁ ²² − (P+Q)t+PQ = 0. - duce that CP+ (P+Q)² > 4PQ.

A: Given that P,Q are two positive distinct real roots of quadratic equation t2-P+Qt+PQ=0 So,…

Q: Trapezoid KLMN and trapezoid PQRS are similar. R K 60 m 50 m 120 m P.

A: Given that two Trapezoid are similar then,Side KN is proportional to side PSKN = xPS60 = 120xx =…

Q: m\n al b. Cd 103° p 74° l, 9h s\v

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Q: Find the values of x and y. ADEF = AQRS E 123 (5y- 7) ft 29 38 ft D. (2x + 2) R X = y =

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Q: Which angle has a greater measure, angle TQS or angle RTS? R 48 94° O the measure of angle TQS is…

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Q: B. 12 4.5 15 W 21 Z.

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Q: z' 110° A C 70°

A: Solving the problem by the property of angle.

Q: 4x V 7x + 10 R /hat is the value of x?

A: We will find the value of x as following.

Q: Find the values of X,Y and Z: 30 40 5) 21 41

A: The detailed solution is as follows below:

Q: ance between the skew y = 5+ 2t, z = 5 – 4 y = 6, z = 1+3 e exact answer.

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Q: What is JL? 24 M 32 A. 50 B. 35 C. 21 D. 18

A: Given,  A right triangle  with  altitude KM = 24   and  JM = 32   We have to find the length of JL.…

Q: Find the value of z and m<V. (12z – 27)° U (125 – z), - V W (37+ 5z)°

A: In a quadrilateral inscribed in circle sum of opposite angle always 180 degree.

Q: M/I R = 1/4 R=1 0.55 reten ✪ r=0.5cm 1

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Q: B E 12 8 (3x+18)' A (4x+2)° C D If AABC is similar to ADEF, determine the measure of ZA. A. O 16°…

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Q: What are the values of t and u? 72° H. t 3D C.

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Q: Calculate the value of x, y and z. A 100° C. D. Calculate the values of x, y, z and t. xx+20° y\t

A: It is observed here in both the figures that there are 2 parallel lines and a line that is…

Q: A Find the measures of ZR, ZQTS, and LQST in this diagram. Justify your answers. S. 105° 30° 70° T.…

A: Use the triangle exterior angle theorem to find the value of ∠QST .  Use the triangle sum theorem to…