Question

c is between a and e. for each problem, draw information given. solve for indicated. 5. if ac = 24 in. and ce = 13 in., ae = ______.

Explanation:

Step1: Recall segment addition postulate

Since \( C \) is between \( A \) and \( E \), by the segment addition postulate, \( AE = AC + CE \).

Step2: Substitute given values

We know \( AC = 24 \) in. and \( CE = 13 \) in. Substitute these values into the formula: \( AE = 24 + 13 \).

Step3: Calculate the sum

\( 24 + 13 = 37 \).

Answer:

\( 37 \) inches