Question

ch. 1.2 - segment addition postulate
possible points: 10
c is between a and e. for each problem, draw a picture representing the three points and the information given. solve for the indicated.
if ce = 7in. and ae = 23 in.
ac =

Explanation:

Step1: Recall segment - addition postulate

According to the segment - addition postulate, if C is between A and E, then $AE=AC + CE$.

Step2: Rearrange the formula to solve for AC

We can rewrite the formula as $AC=AE - CE$.

Step3: Substitute the given values

Given that $CE = 7$ in and $AE = 23$ in, we substitute these values into the formula: $AC=23 - 7$.

Step4: Calculate the value of AC

$AC = 16$ in.

Answer:

16 in