Point M is on line segment \overline{LN} LN . Given LN=2x-5,LN=2x−5, MN=x-1,MN=x−1, and LM=3,LM=3, determine the numerical length of \overline{LN}. LN .

Answer 1

L------------M--------------------------N

LM = 3

LN = 2x-5

MN = x-1

Use the Segment Addition Postulate:

LM + MN = LN

3 + x-1 = 2x-5

Solve for x. Once you have the value of x, plug it into the equation (above) for LN to find its length.