Question

EF is a median of trapezoid ABCD. What is the value of x?

Answer 1

x = 4

Explanation:

The midsegment ( median is equal to half the sum of the parallel bases, that is

`(AB+CD)/(2)` = EF, substitute values

`(4x-10+3x+8)/(2)` = 13 ( multiply both sides by 2

7x - 2 = 26 ( add 2 to both sides )

7x = 28 ( divide both sides by 7 )

x = 4