Respuesta :

akposevictor

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

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