# Given the median QR and trapezoid MNOP, what is the value of x?

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## Question:

Given the median QR and trapezoid MNOP, what is the value of x?

The correct answer is option A.   6

Step-by-step explanation:

It is given that, QR is the median of trapezoid MNOP

To find the value of x

From the given information we can write,

MP + ON = 2(QR)

9x – 42 + 30  = 2(x + 15)

9x – 42 + 30 = 2x + 30

9x – 2x = 42

7x = 42

x = 42/7 =6

Theerfore the correct answer is option A.  6

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