Answer:
c. 40.
Step-by-step explanation:
Since the small and large triangles are similar we have the equation:
45 / 90 = 6x + 4 / 4x + 56
1 /2 = 6x + 4 / 4x + 56
2(6x + 4) = 4x + 56
12x + 8 = 4x + 56
8x = 48
x = 6
So the length of the mid segment = 6(6) + 4 = 40.
