Respuesta :

Using the Segment Addition Postulate, it is found that:

  • The length of x is of 5 inches.
  • The length of segment AB is 5 inches.
  • The length of segment BC is 15 inches.

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From the Segment Addition Postulate: Segment AC is divided by segment AB and segment BC, thus:

[tex]AC = AB + BC[/tex]

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We have that:

  • [tex]AB = x[/tex]
  • [tex]BC = 3x[/tex]
  • [tex]AC = 20[/tex]

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Solving for x.

[tex]AC = AB + BC[/tex]

[tex]20 = x + 3x[/tex]

[tex]4x = 20[/tex]

[tex]x = \frac{20}{4} = 5[/tex]

The length of x is of 5 inches.

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  • The length of segment AB is [tex]x = 5[/tex] inches.
  • The length of segment BC is [tex]3x = 3(5) = 15[/tex] inches.

A similar problem is given at https://brainly.com/question/17015370

Answer: 5 5 and 15

Step-by-step explanation: edge 2021

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