Question

if the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the mid-segment is 6x - 24, what is the value of x

Answer 1

2 times midsegment = base1 + base2

so

2(6x - 24) = 5 + 2x + 7

12x - 48 = 2x + 12

10x = 60

x = 6

Answer

x = 6