Question

What is the length of XY?

Answer 1

5268

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

Answer 2

D. 5267

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