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ipn [44]
2 years ago
15

Given segment AC and point B that lies on AC,

Mathematics
1 answer:
ololo11 [35]2 years ago
8 0

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

<h3>How can the length of CB be found?</h3>

The given parameters are;

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

Required: <em>CB</em>

Solution:

AC = <em>AB + CB</em> by segment addition property

Therefore;

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

17 = 89 + 9•x

x =  \frac{17 - 89}{9}  =  - 8

CB = 57 + 6•x = 57 + 6 × (-8) = 9

Therefore;

  • <u>CB = 9</u>

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

#SPJ1

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