Question

in the figure below, o is between m and p, and n is the midpoint of (overline{mo}). if (np = 9) and (no = 7), find (mp). mp = square

Explanation:

Step1: Find MO length

Since N is the midpoint of \( \overline{MO} \), \( MN = NO \). Given \( NO = 7 \), so \( MN = 7 \), then \( MO = MN + NO = 7 + 7 = 14 \).

Step2: Find OP length

Given \( NP = 9 \) and \( NO = 7 \), so \( OP = NP - NO = 9 - 7 = 2 \).

Step3: Find MP length

\( MP = MO + OP = 14 + 2 = 16 \).

Answer:

16