Question

Solve for x. The polygons in each pair are similar. *:)24302420-5 + 5xO 56910

Answer 1

Since polygons are similar, the following ratio must be preseved:

$\frac{-5+5x}{20}=\frac{30}{24}$

By moving the number 20 to the right hand side, we get

$-5+5x=20\times\frac{30}{24}$

which gives

$-5+5x=25$

now, by moving -5 to the right hand side, we have

$\begin{gathered} 5x=25+5 \\ 5x=30 \end{gathered}$

then, x is given by

$\begin{gathered} x=\frac{30}{5} \\ x=6 \end{gathered}$

then, the answer is the second option: 6