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points l, m, and n are collinear. you are given lm = 13 and ln = 20. wh…

Question

points l, m, and n are collinear. you are given lm = 13 and ln = 20. what is a possible value of mn?
a. 6
b. 7
c. 8
d. 9

Explanation:

Step1: Consider point order

Since \(L\), \(M\), \(N\) are collinear, \(LN=LM + MN\) (when \(M\) is between \(L\) and \(N\)).

Step2: Solve for \(MN\)

We can rewrite the equation as \(MN=LN - LM\). Substitute \(LM = 13\) and \(LN = 20\) into the equation. So \(MN=20 - 13\).

Answer:

B. 7