Answer:
38 units.
Step-by-step explanation:
4x + 6 = [tex]\frac{1}{2}(4x + 44)[/tex] {midpoint theorem}
4x + 6 = [tex]\frac{1}{2}*4x + \frac{1}{2}*44[/tex]
4x + 6 = 2x + 22
4x -2x + 6 = 22
2x + 6 = 22
2x = 22 -6
2x = 16
x = 16/2
x = 8
Length of midsegment = 4x + 6 = 4*8 + 6
= 32 + 6
= 38
