Question

#1.7 - segment and angle addition pos

1. (1 point) : use the figure below to solve

the following problem.
(figure: a (red dot) connected to b (red dot) with length 108, b connected to c (red dot) with unknown length ?)
given: ( ac = 137 )
what is the length of segment ( bc )?

Explanation:

Step1: Recall Segment Addition Postulate

The Segment Addition Postulate states that if point \( B \) is between \( A \) and \( C \), then \( AC = AB + BC \). From the figure, \( AB = 108 \) and \( AC = 137 \). We need to find \( BC \).

Step2: Solve for \( BC \)

Using the formula \( AC = AB + BC \), we can rearrange it to solve for \( BC \): \( BC = AC - AB \). Substituting the given values, \( AC = 137 \) and \( AB = 108 \), we get \( BC = 137 - 108 \).

Step3: Calculate the Result

\( 137 - 108 = 29 \).

Answer:

29