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What is the value of x?

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What is the value of x?

by Max@Math Revolution » Fri Feb 16, 2018 4:00 am
[GMAT math practice question]

Image

What is the value of x?

A. 1.5
B. 3.0
C. 4.5
D. 5.0
E. 6.0
Last edited by Max@Math Revolution on Sun Feb 18, 2018 8:56 pm, edited 1 time in total.
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by Max@Math Revolution » Sun Feb 18, 2018 6:17 pm
=>
The two triangles are similar since they have the same angles. Consequently, each pair of corresponding sides is in the same proportion: 39:3 = (18+x):x.
Rearranging this proportion yields
39x = 3(18+x)
39x = 3*18 + 3x
36x = 54
x = 1.5

Therefore, A is the answer.

Answer: A
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