Respuesta :

Answer:

  x = 4

Step-by-step 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

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Check

5x+4 = 5(4)+4 = 24

8x+16 = 8(4) +16 = 48

So, XY is half of XZ.