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Answer: MN = 7

Explanation: We know that L, M, and N are collinear, this means that the are in a straight line.

If the distance between L and M is 13, and the distance between L and N is 20, then the distance between M and N is the part that you need to complete the distance between L and N, you have that:

LM + MN = LN

MN = LN - LM = 20 - 13 = 7

So the distance between M and N is 7

akposevictor

Segment MN = 7.

The points given (points L, M, and N) have been illustrated in the diagram attached below.

Three points are collinear when all the points lie on a straight line as shown in the diagram attached.

Given:

[tex]LM = 13\\LN = 20[/tex]

[tex]MN = LN - LM[/tex] (segment subtraction postulate)

Plug in the values

[tex]MN = 20 - 13\\MN = 7[/tex]

Therefore the numerical value of segment MN is 7.

Learn more about collinearity here:

https://brainly.com/question/5451502

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