Question

Examine the diagram of circle V, where two chords, JK and LM, are equidistant from the center. If JK=4x+37, and LM=5(x+5), what is the value of x?

8
12
14
16

Answer 1

x=12

Explanation:

we know that

If the two chords are equidistant from the center of the circle, then the chords must be congruent.

so

JK=LM

substitute the given values

`4x+37=5(x+5)`

solve for x

`5x-4x=37-25\\x=12`