Question

Find the value of X in the length of VR

Answer 1

Since V is between R and T, then:

`RT=VR+VT\text{.}`

Substituting VR=3x, VT=5x+9, RT=33, and solving for x we get:

`\begin{gathered} 33=3x+5x+9, \\ 33=8x+9, \\ 33-9=8x, \\ 8x=24, \\ x=3. \end{gathered}`

Substituting x=3 in VR we get:

`\text{VR}=3\cdot3=9.`

Answer:

The value of x is 3.

The length of VR is 9.