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Answer :

Answer:

Y is the midpoint of XZ, so XY = YZ

  • 20x - 30 = 12x + 10
  • 20x - 12x = 10 + 30
  • 8x = 40
  • x = 5

Find XZ:

  • XZ = 2(XY) = 2(20*5 - 30) = 140

The answer is:

  • x = 5 and XZ = 140

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B is the midpoint of AC, so AB = BC

  • 4x + 3 = 2x + 15
  • 4x - 2x = 15 - 3
  • 2x = 12
  • x = 6

Find AC:

  • AC = 2(AB) = 2(4*6 + 3) = 54

The answer is:

  • x = 6, AC = 54