Answer:
x = 10, TU = 24
Step-by-step explanation:
The midsegment TU is half the sum of the parallel bases, that is
[tex]\frac{1}{2}[/tex] (3x + 2+ 2x - 4 ) = 2x + 4 ( multiply both sides by 2 to clear the fraction )
5x - 2 = 4x + 8 ( subtract 4x from both sides )
x - 2 = 8 ( add 2 to both sides )
x = 10
Then
TU = 2x + 4 = 2(10) + 4 = 20 + 4 = 24
