Question

Use the number line to answer the question below:
<—A——————-B————C—->
If AB = 7x - 24 and BC = 6x - 2, what is the value of AC?
a. 13x - 22
C. 13x - 26
b. 33
d. 46

Answer 1

Answer:   13x - 26

Work Shown:

AC = AB + BC

AC = (7x-24) + (6x - 2)

AC = (7x+6x) + (-24-2)

AC = 13x - 26

This works because segment AC is split up into two parts AB and BC which don't overlap. Refer to the segment addition postulate.