Question

LM is a perpendicular bisector of NP. The length of LN is 12w + 7, and rhe length of LP is 15w - 5. What is the length of LN?(every capital letter has a line over it and i cant add that. Ex. There would be a line over LP. Because its a line. But i dont know to do that so im adding this!)

Answer 1

LN = LP

So, we can say:

12w + 7 = 15w - 5

Solving for w,

7 + 5 = 15w - 12w

12 = 3w

w = 12/3

w = 4

Length of LN is 12w + 7

plug in w = 4 to get:

12 (4) + 7

48 + 7 = 55

Length of LN is 55