Answer number 39 Vrite the la36. Perform the following operations on radicals: (5V2 +V18- V8)a. 6V2S7. which of the following conditions is not sufficient to prove that a quadrilateral is aparallelogram?a. Two pairs of sides are parallel.b. Two angles are supplementary.b. 7V2.c. 8V2d. 9/2c. Two pairs of opposites sides are congruent.d. Two diagonals bisect each other.36. DEFG is a rectangle. DF 2r-1 and EG =x+ 3. Find the value of x and the length of each diagonal.a. x= 2, DF = 5 , EG= 5b. x= 4, DF =7, EG =9c. x= 4, DF = 5 , EG=5d. x= 4, DF =7, EG=739. ZJ and ZM are base angles of isosceles trapezoid JKLM. If mLJ = 20x+ 9, andm/M = 14x + 15, find mK.a. 1b. 151с. 29d. 75.540. What is the only property of an isosceles trapezoid?a. The diagonals bisect each otherb. One pair of opposite sides is parallelc. Both pairs of opposite angles are congruentd. Both pairs of opposite sides are parallel41. Refer to the figure on the right. What is b, if x+y=D 16 cm and y-4 cm.a. 8 cmb. 16 cmac. 4 cmd. 64 cmXy42. The diagonal of a rectangle is 18 cm long. If the base is 9v3 cm, find its width.d. 18V3 cmc. 18/Zcm43. A tower is 8 m high. At a certain distance away from the tower, an observer determines that the angleof elevation to the top of it is 42°. What is the missing part of the right triangle in the problem?b. adjacent side c. angle of elevationa. 9cmb. 18cma. Opposite sided. hypotenuse44. Which trigonometric ratio use to find p on the figure?24

Name: Answer number 39 Vrite the la36. Perform the following operations on r
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Description: Answer number 39 Vrite the la36. Perform the following operations on radicals: (5V2 +V18- V8)a. 6V2S7. which of the following conditions is not sufficient to prove that a quadrilateral is aparallelogram?a. Two pairs of sides are parallel.b. Two angle

Answered: 39. ZJ and ZM are base angles of…

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39. ZJ and ZM are base angles of isosceles trapezoid JKLM. If mLJ 20x+ 9, and mZM = 14x + 15, find mK. %3D a 1 b. 151 c. 29 d. 75.5

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Answer number 39

Vrite the la
36. Perform the following operations on radicals: (5V2 +V18- V8)
a. 6V2
S7. which of the following conditions is not sufficient to prove that a quadrilateral is a
parallelogram?
a. Two pairs of sides are parallel.
b. Two angles are supplementary.
b. 7V2.
c. 8V2
d. 9/2
c. Two pairs of opposites sides are congruent.
d. Two diagonals bisect each other.
36. DEFG is a rectangle. DF 2r-1 and EG =x+ 3. Find the value of x and the length of each diagonal.
a. x= 2, DF = 5 , EG= 5
b. x= 4, DF =7, EG =9
c. x= 4, DF = 5 , EG=5
d. x= 4, DF =7, EG=7
39. ZJ and ZM are base angles of isosceles trapezoid JKLM. If mLJ = 20x+ 9, and
m/M = 14x + 15, find mK.
a. 1
b. 151
с. 29
d. 75.5
40. What is the only property of an isosceles trapezoid?
a. The diagonals bisect each other
b. One pair of opposite sides is parallel
c. Both pairs of opposite angles are congruent
d. Both pairs of opposite sides are parallel
41. Refer to the figure on the right. What is b, if x+y=D 16 cm and y-4 cm.
a. 8 cm
b. 16 cm
a
c. 4 cm
d. 64 cm
X
y
42. The diagonal of a rectangle is 18 cm long. If the base is 9v3 cm, find its width.
d. 18V3 cm
c. 18/Zcm
43. A tower is 8 m high. At a certain distance away from the tower, an observer determines that the angle
of elevation to the top of it is 42°. What is the missing part of the right triangle in the problem?
b. adjacent side c. angle of elevation
a. 9cm
b. 18cm
a. Opposite side
d. hypotenuse
44. Which trigonometric ratio use to find p on the figure?
24

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