Answer:
x = 10
TU = 24
Step-by-step explanation:
To find the value of x, we use the trapezoid mid-segment theorem
The sum of the lengths of the two parallel sides is equal to twice the length of the mid segment
Mathematically, we have this as;
2(2x+ 4) = 2x-4 + 3x + 2
4x + 8 = 5x - 2
5x -4x = 8 + 2
x = 10
TU = 2x + 4 ; = 2(10) + 4 = 20 + 4 = 24
