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

$\frac{5}{x}=\frac{4}{24}=\frac{3}{18}$

therefore,

$\frac{5}{x}=\frac{4}{24}$

cross multipication gives

$24\cdot5=4x$

Dividing both sides by 4 gives

$x=\frac{24\cdot5}{4}$$x=30$

which is our answer!