Answer:
38
Step-by-step explanation:
4x + 6 = ½(4x + 44) (midsegment theorem)
Multiply both sides by 2
2(4x + 6) = 4x + 44
8x + 12 = 4x + 44
Collect like terms
8x - 4x = -12 + 44
4x = 32
Divide both sides by 4
x = 8
Length of midsegment = 4x + 6
Plug in the value of x
Midsegment = 4(8) + 6
= 32 + 6
= 38
