Question

Segment VY is a midsegment of trapezoid FEDC. Find x.

Answer 1

x = 12

Explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY =
`(EF+CD)/(2)` , then

3x + 18 =
`(1)/(2)` (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12