Question

A landscape architect is designing a public patch with two adjacent circular fountains. The walking paths are tangent to the fountains as shown the lengths are given. Find x and y.

Answer 1

x=4

y=11

Explanation:

you know that tangents drawn from same point are congruent

so

6.5x-4.5=5x+1.5

1.5x=6

x=4

4x-1=y

y=11