Question

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

Answer 1

6

Explanation:

Answer 2

Option A

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 =
`(1)/(2)(PM+ON)`

`(x+15)=(1)/(2)[(9x-42)+(30)]`

2x + 30 = 9x - 12

9x - 2x = 30 + 12

7x = 42

x = 6

Option A is the correct option.