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Points L, M, and N are collinear.
You are given LM = 13 and LN = 20. What is a possible value of MN?

Sagot :

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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.

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