Answer: E. 7
Explanation:
The length of the median of a trapezoid is half the sum of the two parallel sides. From the information given,
Median = QR = 33
parallel side = ON = 3x - 8
Other parallel side PM = 7x + 4
By applyingthe eformula we have3
33 = 1/2(3x - 8 + 7x + 4)
By cross multiplying, we hve
33 * 2 = 3x + 7x - 8 + 4
66 = 10x - 4
10x = 66 + 4
10x = 70
x = 70/10
x = 7
