Find the length of LM. Write your answer as a numerical value only.
Note that triangle ULM is similar to triangle UTV
Since UV = 2 * UM ......then this means that
TV = 2 * LM ....so....
x + 5 = 2 ( 2x - 14)
x + 5 = 4x - 28
5 + 28 = 4x - x
33 = 3x
33/3 = x = 11
So
LM = 2(11) - 14 = 22 - 14 = 8