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:

`(-5+5x)/(20)=(30)/(24)`

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

`-5+5x=20*(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=(30)/(5) \\ x=6 \end{gathered}`

then, the answer is the second option: 6