Respuesta :

Answer:

  • 17 units

Step-by-step explanation:

BE is midsegment of ACDF

  • BE = 1/2(CD + FA)
  • 2(3x + 3) = 6x - 16 + 4x - 10
  • 6x + 6 = 10x - 26
  • 10x - 6x = 6 + 26
  • 4x = 32
  • x = 8

Similarly, FA is midsegment of BEZW

  • FA = 1/2(BE + WZ)
  • WZ = 2FA - BE
  • WZ = 2(4x - 10) - (3x + 3)
  • WZ = 8x - 20 - 3x - 3
  • WZ = 5x - 23

Substitute x with 8:

  • WZ = 5*8 - 23 = 40 - 23 = 17