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

Answer:
Option A
Step-by-step explanation:
Median of a trapezoid is parallel to both the bases and measure of median equals to half of the sum of bases.
By this property,
QR = [tex]\frac{1}{2}(PM+ON)[/tex]
[tex](x+15)=\frac{1}{2}[(9x-42)+(30)][/tex]
2x + 30 = 9x - 12
9x - 2x = 30 + 12
7x = 42
x = 6
Option A is the correct option.