Question

c is between a and e. for each problem, draw a picture representing the three points and the information given. solve for indicated. 5. if ac = 24 in. and ce = 13 in., ae = 37, 37in 24in 13. 6. if ce = 7in. and ae = 23 in., ac = ____

Explanation:

Step1: Recall segment - addition postulate

Since \(C\) is between \(A\) and \(E\), \(AE=AC + CE\).

Step2: Solve for \(AC\) in the second - problem

We know that \(AE = AC+CE\). Rearranging the formula for \(AC\), we get \(AC=AE - CE\).
Substitute \(AE = 23\) in. and \(CE = 7\) in. into the formula: \(AC=23 - 7\).
\(AC = 16\) in.

Answer:

16 in.