Question

Can someone please help me find the valu of X?

Answer 1

x = 10

Explanation:

Because the transverse lines are parralell, the following must be true

`(x+8)/(x+2)=(3)/(2)`

cross multipication gives

`\begin{gathered} 2(x+8)=3(x+2) \\ \end{gathered}`

which simplifies to give

`\begin{gathered} 2x+16=3x+6 \\ \end{gathered}`

subtracting 2x from both sides gives

`16=x+6`

subtracting 6 from both sides gives

`10=x`

Hence the value of x is 10.