Question

Study the diagram of circle K, where JL¯¯¯¯¯¯¯ and LM¯¯¯¯¯¯¯¯¯ are tangent to circle K at points J and M, respectively. Also, JL=3x+10 and ML=7x−6. What is the length of LM¯¯¯¯¯¯¯¯¯?

22
17.6
16
4

Answer 1

22

Explanation:

The answer is 22. You solve the equation 3x+10=7x-6 like so

3x+10=7x-6

-3 = -3

10= 4x-6

+6 = +6

16=4x

x=4

You then plug in the value of x to the equation for LM.

7x-6 becomes 7*4-6 which is 22.