What is the length of XY?

Answer:
D. 5267
Step-by-step explanation:
In the triangle XY and XZ are tangent to circle C. This means that the length has of XY and XZ are congruent.
So first you have to set the equations to each other to find what b equals to.
85b+83=91b-283
Add 283 to both sides
85b+366=91b
Subtract 85b on both sides
366=6b
Divide by 6
B=61.
Then you substitute 61 as b in the equation for XY.
85b+83
85(61)+83
5185+83
5268
Answer:
5268
Step-by-step explanation:
length of tangents from a point to the circle are equal.
XY=XZ
91b-283=85b+83
91b-85b=83+283
6b=366
b=366/6=61
XZ=91b-283
=91×61-283
=5551-283
=5268