Question

Z x is the perpendicular bisector of bar (WY),WZ=4n-13, and YZ=n+17. Find YZ.

Answer 1

Since ZX is the perpendicular bisector of WY, WZ equals YZ. Solving the equation 4n - 13 = n + 17, we find n equals 10, and hence YZ equals 27 units.

Step-by-step explanation:

To solve for YZ, we need to use the fact that ZX is the perpendicular bisector of WY. This implies that WZ = YZ, because a perpendicular bisector in geometry divides a line segment into two equal parts. We are given two expressions for WZ and YZ:

• WZ = 4n - 13
• YZ = n + 17

Since WZ = YZ, we can set up an equation:

4n - 13 = n + 17

Solving for n, we simplify:

4n - n = 17 + 13

3n = 30

n = 10

Now we substitute n back into the expression for YZ:

YZ = 10 + 17

YZ = 27

Therefore, YZ is 27 units long.