Question

Points L, M, and N are collinear.

Answer 1

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.

• LM + LN = MN

Now, let's plug in the values we know.

• 13 + 20 = MN

Then, solve.

• 33 = MN

This proves that a possible value of MN is 33.