Question

Can someone please help me find the valu of X?

Answer 1

Answer:

x = 10

Explanation:

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

$\frac{x+8}{x+2}=\frac{3}{2}$

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.