Question

similar figures test (topic 5)
solve for x.
9
4
13.5
x + 4
x=
9 10 11

Explanation:

Step1: Use property of similar - figures

If two figures are similar, the ratios of corresponding sides are equal. Here, we can set up the proportion $\frac{9}{13.5}=\frac{4}{x + 4}$.

Step2: Cross - multiply

$9(x + 4)=4\times13.5$.

Step3: Expand the left - hand side

$9x+36 = 54$.

Step4: Subtract 36 from both sides

$9x=54 - 36$, so $9x = 18$.

Step5: Solve for x

$x=\frac{18}{9}=2$.

Answer:

$2$