Question

PLEASE HELP

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?


17.6

16

4

22

Answer 1

LM = 22

Explanation:

Tangents to a circle from an external point to the circle are congruent , that is

ML = JL , substitute values

7x - 6 = 3x + 10 ( subtract 3x from both sides )

4x - 6 = 10 ( add 6 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

Then

LM = 7x - 6 = 7(4) - 6 = 28 - 6 = 22