18. ABCD is a square with diagonals AC and BD. If AC = 10x + 10 and BD = x+ 73. How long is each diagonal? А. 7 В. 80 C. 90 D. 100

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...
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Please answer 18-20. They are all connected. Thank you.
В. 60
С. 70
D. 80
18. ABCD is a square with diagonals AC and BD. If AC = 10x + 10 and BD = x+ 73. How long is each
diagonal?
А. 7
19. Which of the following statements can be used to prove quadrilateral JUMP is a parallelogram in Figure
В. 80
С. 90
D. 100
6?
A. JUZUM and MPEPJ
B. JU=JP and PM UM
C. JUEPM and JPEUM
D. JM=PU and JPEUM
P
M
20. Aldrin asks by his teacher to solve the situation: In rectangle YATE, EY = 2x + 3 and AT = x+ 5, how
long is EY? Aldrin concluded that the length of EY is 7. Do you agree that the conclusion of Aldrin is
correct?
A. Yes,the conclusion is correct.
B. No, the length of EY should be 2.
C. No, segment EY is twice as long as segment AT.
D. No, the given information are insufficient
A
2x+3
x+5
E
T
Transcribed Image Text:В. 60 С. 70 D. 80 18. ABCD is a square with diagonals AC and BD. If AC = 10x + 10 and BD = x+ 73. How long is each diagonal? А. 7 19. Which of the following statements can be used to prove quadrilateral JUMP is a parallelogram in Figure В. 80 С. 90 D. 100 6? A. JUZUM and MPEPJ B. JU=JP and PM UM C. JUEPM and JPEUM D. JM=PU and JPEUM P M 20. Aldrin asks by his teacher to solve the situation: In rectangle YATE, EY = 2x + 3 and AT = x+ 5, how long is EY? Aldrin concluded that the length of EY is 7. Do you agree that the conclusion of Aldrin is correct? A. Yes,the conclusion is correct. B. No, the length of EY should be 2. C. No, segment EY is twice as long as segment AT. D. No, the given information are insufficient A 2x+3 x+5 E T
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