Answer:
33
Step-by-step explanation:
Vocabulary
Before going into an explanation, let's go over some important vocabulary.
- Collinear - Collinear describes points that are on the same line. This means that there is 1 line with the 3 points L, M, and N.
- Segment addition postulate - The segment addition postulate states that if there are 2 collinear points (A and C) with another point in between them (B), then the statement AB + BC = AC must be true.
Solving for MN
Using the postulate above we can make a new equation. First, let's set up an equation that mirrors the postulate.
Now, let's plug in the values we know.
Then, solve.
This proves that a possible value of MN is 33.
