Question

1. point l, m, and n are collinear. you are given lm = 18 and ln = 27. what is a possible value of mn? a. 9 b. 18 c. 46 d. 27

Explanation:

Step1: Analyze the two cases of collinear points

Case 1: When point \(M\) is between \(L\) and \(N\), then \(MN=LN - LM\).
Case 2: When point \(L\) is between \(M\) and \(N\), then \(MN=LN + LM\).

Step2: Calculate \(MN\) for each case

Case 1: Given \(LM = 18\) and \(LN=27\), then \(MN=27 - 18=9\).
Case 2: \(MN=27 + 18 = 45\).

Answer:

A. 9