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Answer:

[tex]if \: b \: is \: the \: mid \: point \: then \: \\ ab = bc \\ then \: 6x - 6 = 72 \\ 6x = 72 + 6 \\ 6x = 78 \\ x = \frac{78}{6} \\ x = 13 \\ thank \: you[/tex]

This question is simply about division of line segments.

x = 13

  • We see that point B is the mid point of line AC. This means that;

AB = AC

  • Now, since AB = 6x - 6 and BC = 72

Thus, 6x - 6 = 72

Add 6 to both sides to get;

6x = 78

divide both sides by 6 to get;

x = 13

read more here; brainly.com/question/10838483

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