Question

find the length of each segment.
#9: if ab = 8 and bc = 24, then ac = ______.*
your answer
this is a required question
#10: if ab = 17 and ac = 68, then bc = ______.*
your answer
this is a required question

Explanation:

Step1: Use segment - addition postulate

For three collinear points A, B, and C, \(AC=AB + BC\) and \(BC=AC - AB\).

Step2: Solve #9

Given \(AB = 8\) and \(BC = 24\), then \(AC=AB + BC=8 + 24\).
\(AC = 32\)

Step3: Solve #10

Given \(AB = 17\) and \(AC = 68\), then \(BC=AC - AB=68 - 17\).
\(BC = 51\)

Answer:

#9: 32
#10: 51