Question

The polygons are similar. Find the value of each variable.

Answer 1

Here we go

• 4/x=6/9
• 4/x=2/3
• 2/x=1/3
• x=6

And

• y/12=12/18
• 18y=12²
• 18y=144
• y=8

Answer 2

`\\ \sf{:}\dashrightarrow (4)/(x)=(6)/(9)`

`\\ \sf{:}\dashrightarrow 6x=36`

`\\ \sf{:}\dashrightarrow x=6`

#y

`\\ \sf{:}\dashrightarrow (y)/(12)=(12)/(18)`

`\\ \sf{:}\dashrightarrow (y)/(12)=(2)/(3)`

`\\ \sf{:}\dashrightarrow 3y=24`

`\\ \sf{:}\dashrightarrow y=8`