Question

in the figure below, n is between m and o, and o is between n and p. if mp = 16, mo = 11, and np = 8, find no.

Explanation:

Step1: Use segment - addition property

We know that \(MP = MO+OP\). Given \(MP = 16\) and \(MO = 11\), we can find \(OP\). So, \(OP=MP - MO\).
\[OP=16 - 11=5\]

Step2: Use segment - addition property again

We also know that \(NP=NO + OP\). Given \(NP = 8\) and \(OP = 5\), we can find \(NO\). So, \(NO=NP - OP\).
\[NO=8 - 5 = 3\]

Answer:

3