Question

Question #7 Point Y is between Points X and Z in segment XZ. If segment XY is a+8 in length, segment YZ is 3a-1, and segment XZ is 35, what is the value of x?

Answer 1

According to the given data we have the following:

XY=a+8 in length

YZ= is 3a-1 in lenght

Segment XZ=35

In order to calculate the value of x we would have to make the following calculation:

XY+YZ=35

a+8+3a-1=35

4a=35-7

4a=28

a=7

So, if a=7, therefore:

XY=7+8=15

YZ=3(7)-1=20