Question

Find the value of x. The polygons are similar, but not necessarily drawn to scale Answer choice: A) 162 B) 81 C) 9 D) 4 Please help, will mark brainliest!

Answer 1

Answer:

9 is the answer.

Step-by-step explanation:

The scale they are using is 2/3, meaning that 18 is two thirds of 27.

And following that rule that would mean the 6 is two thirds of x.

So if you just divide 6 in half you'll get 3 which would be 1/3, since 6 was 2/3's, and if you add the new found 1/3 to the already 2/3's or if you add 6 and 3 together you get 9. And that makes them similar polygons or that makes ABCD a scale 2/3's scale of JKLM.

Answer 2

Option C is correct. The value of x is 9.

What is similar polygon?

Two polygons with the same shape are called similar polygons.

What is scale factor of two polygons?

If two polygons are similar then the ratio of lengths of any two corresponding sides is called the scale factor.

According to the given question

Polygons ABDC is similar to Polygon KJML.

Since, these polygons are similar to each other therefore, the ratio of lengths of corresponding sides will be equal.

⇒ $\frac{AB}{DC} =\frac{JM}{ML}$

⇒$\frac{18}{6} = \frac{27}{x}$

⇒ $3 = \frac{27}{x}$

⇒ $x = 9$

Therefore, the value of x is 9.

Hence, option C is correct.

Learn more about scale factor of polygon here:

https://brainly.com/question/14948305

#SPJ2