The value of the variable x will be 5. Then the correct option is D.
What is a trapezoid?
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
Given the median QR and trapezoid MOPN.
Then the median QR is half of the sum of the parallel sides of the trapezoid MOPN.
QR = (OP + MN) / 2
We have the value of OP is 5x - 7, QR is 27, and MN is 6x + 6. Then the equation will be
27 = [(5x - 7) + (6x + 6)] / 2
54 = 5x - 7 + 6x + 6
54 = 11x - 1
11x = 54 + 1
11x = 55
x = 55/11
x = 5
The value of the variable x will be 5.
Then the correct option is D.
More about the trapezoid link is given below.
https://brainly.com/question/22607187
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