Question

if ab = 31 and bc = 16, find ac.

Explanation:

Step1: Identify segment - addition principle

By the segment - addition postulate, if B is between A and C, then \(AC=AB + BC\).

Step2: Substitute given values

Given \(AB = 31\) and \(BC = 16\), we substitute into the formula: \(AC=31 + 16\).

Step3: Calculate the result

\(31+16 = 47\).

Answer:

47