Question

in the figure below, n is between m and o, and o is between n and p. if np = 11, mp = 14, and no = 7, find mo.

Explanation:

Step1: Find the length of $OP$

Since $NP = 11$ and $NO = 7$, then $OP=NP - NO$. So $OP=11 - 7=4$.

Step2: Find the length of $MO$

We know that $MP = 14$ and $OP = 4$. Also, $MP=MO + OP$, so $MO=MP - OP$. Then $MO = 14-4 = 10$.

Answer:

$10$