Question

If Y is the midpoint of WZ, YZ = x + 3, and WZ = 3x - 4, determine the length of WZ.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Y ===> midpoint of WZ

YZ = x + 3

WZ = 3x - 4

WZ = ?

Step 02:

YZ + YZ = WZ

(x + 3) + (x + 3) = 3x - 4

2x + 6 = 3x - 4

2x - 3x = - 4 - 6

-x = -10

x = -10 / -1

x = 10

WZ = 3x - 4

= 3(10) - 4

= 30 - 4

= 26

The answer is:

WZ = 26