Question

Use the following diagram to solve for x

Answer 1

Since both triangles are similar we will use the ratio to solve the problem

So that

`\begin{gathered} (x+x+5)/(12+18)=(x+5)/(18) \\ (2x+5)/(30)=(x+5)/(18) \end{gathered}`
`\begin{gathered} 18(2x+5)\text{ = 30(x+5)} \\ 36x\text{ +90 = 30x + 150} \\ 36x\text{ -30x = 150 -90} \\ 6x\text{ = 60} \\ (6x)/(6)=(60)/(6) \\ x\text{ = 10} \end{gathered}`

Hence, x = 10