Respuesta :

The total length of the segment AC is the sum of AB and CB, which gives, CB = 9

How can the length of CB be found?

The given parameters are;

  • AC = 17
  • AB = 32 + 3•x
  • CB = 57 + 6•x

Required: CB

Solution:

AC = AB + CB by segment addition property

Therefore;

AC = 17 = 32 + 3•x + 57 + 6•x = 89 + 9•x

17 = 89 + 9•x

[tex]x = \frac{17 - 89}{9} = - 8[/tex]

CB = 57 + 6•x = 57 + 6 × (-8) = 9

Therefore;

  • CB = 9

Learn more about segment addition postulate here: https://brainly.com/question/1721582

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