Answer:
Figure 6. A perpendicular bisector constructed for line NO.
Solution
We know from the Perpendicular Bisector Theorem that WZ=WY. We can now set up our equation to solve for x.
WZ=WY
2x+11=4x−5
Subtract 4x from both sides.
−2x+11=−5
Subtract 11 from both sides.
−2x=−16
Divide by −2 on both sides.
x=8
Now that we have our x-value, we can substitute it in to solve for the lengths of the segments.
WZ=2x+11
WZ=2(8)+11
WZ=16+11
WZ=27
WY=4x−5
WY=4(8)−5
WY=32−5
WY=27
You can see here that WZ=WY, which follows the Perpendicular Bisector Theorem. that is help fo
