LO bisects NLM, LM = 18, NO = 4, and LN = 10

what is the value of x?

the x is between O and M

the shape is a triangle

answer

2 answers

Using the Angle Bisector Theorem, we know that:

NO/NL = MO/ML

Substituting the given values:

4/10 = (18-x)/18

Simplifying:

2/5 = (18-x)/18

Multiplying both sides by 18:

7.2 - 0.4x = 18

Solving for x:

0.4x = 10.8

x = 27

Therefore, the value of x is 27.
but MO = x
4/10 = x/18