Question

point p is between points a and b. segment ab has a length of 35 and pb has a length of 12. what is the length of ap?

Explanation:

Step1: Recall segment addition postulate

Since \( P \) is between \( A \) and \( B \), by the segment addition postulate, \( AB = AP + PB \).

Step2: Solve for \( AP \)

We know \( AB = 35 \) and \( PB = 12 \). Substitute these values into the equation: \( 35 = AP + 12 \). To find \( AP \), subtract \( 12 \) from both sides: \( AP = 35 - 12 \).

Step3: Calculate the result

\( 35 - 12 = 23 \).

Answer:

23