Question

Use the diagram to answer #3. use proportion to answer the question. Show all work. Label your answers.

Answer 1

The triangles given are similar; therefore, the ratio of their side lengths must be the same.

This means

`(5)/(x)=(4)/(24)=(3)/(18)`

therefore,

`(5)/(x)=(4)/(24)`

cross multipication gives

`24\cdot5=4x`

Dividing both sides by 4 gives

`x=(24\cdot5)/(4)`
`x=30`

which is our answer!