Question

Find the value of X in the length of MO

Answer 1

We are given that:

N is between M & O

`\begin{gathered} MN=2x+4 \\ MO=6x \\ NO=28 \\ \\ \text{If N is the midpoint of M \& O, we have:} \\ MN=NO \\ 2x+4=28 \\ \text{Subtract ''4'' from both sides, we have:} \\ 2x=28-4 \\ 2x=24 \\ \text{Divivde both sides by ''2'', we have:} \\ x=(24)/(2)=12 \\ x=12 \\ \\ \therefore x=12 \end{gathered}`

We will obtain the value of MO by substituting the value of ''x'' into MO. We have:

`\begin{gathered} MO=6x \\ x=12 \\ MO=6(12)=72 \\ MO=72 \\ \\ \therefore MO=72 \end{gathered}`