Respuesta :

mhanifa

Answer:

  • x = 4
  • CD = 12

Step-by-step explanation:

Given

Line segment AE, where:

  • Point C is midpoint of AE
  • Point D is midpoint of CE
  • AC = 24
  • CD = 3x

To find

  • x = ?
  • CD = ?

Solution

As per segment addition postulate

  • AC= CE and
  • CD = DE
  • CE = CD*2 = 3x*2 = 6x

Then, substituting values of AC and CE

  • 24 = 6x
  • x = 24/6
  • x = 4

And finding the value of CD

  • CD = 3x = 3*4 = 12

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