Question

point m is on line segment \overline{ln}. given ln = 20 and lm = 7, determine the length \overline{mn}.

Explanation:

Step1: Analyze the relationship between line segments

Since point \(M\) is on line segment \(\overline{LN}\), we have \(LN = LM+MN\).

Step2: Solve for \(MN\)

Rearrange the formula \(MN=LN - LM\). Substitute \(LN = 20\) and \(LM = 7\) into the formula: \(MN=20 - 7\).

Answer:

\(13\)