Answer:
x = 4
Explanation:
A midpoint divides the segment into two equal parts. Each is half the length of the whole.
XY = (1/2)XZ
5x+4 = (1/2)(8x +16)
5x +4 = 4x +8
x = 4 . . . . . . . . . subtract 4x+4 from both sides
_____
Check
5x+4 = 5(4)+4 = 24
8x+16 = 8(4) +16 = 48
So, XY is half of XZ.