Question

Find the value of x. The polygons are similar, but not necessarily drawn to scale.
162
81
9
4

Answer 1

The polygons are similar, and hence all the angles corresponding to each other are equal. This means that all the corresponding side lengths must be proportional. segments AD and JM correspond, and you can use the ratio of their side lengths to determine the ratio between the two shapes. then apply that ratio to side DC to solve for x

Answer 2

I can go into more detail if you'd need :)

Answer 3

You set up a similarity ratio. Here it looks like this.

Answer 4

\[\frac{ 18x }{ 18 }= \frac{ 162 }{ 18 }\]

Answer 5

162/18=9

Answer 6

is that right?

Answer 7

yep!