Parallelogram P was dilated to form parallelogram P prime. Parallelogram P has side lengths of 10 and x 3. Parallelogram P prime

Question

Flauer [41]

3 years ago

14

Parallelogram P was dilated to form parallelogram P prime. Parallelogram P has side lengths of 10 and x 3. Parallelogram P prime

has side lengths of 20 and 8. What is the value of x? (Figures not drawn to scale. ).

Mathematics

1 answer:

Musya8 [376] · Answer 1 · 2022-12-18T00:47:25+03:00

The value of x is 1.

<h2>Dilation</h2>

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

Dimension of parallelogram P 10 and x + 3.

Dimension of parallelogram P' 20 and 8.

The value of x.

<h3>How to find the value of x?</h3>

Lenght of P' = Dilation x Lenght of P

20 = Dilation x 10

Dilation = 2

Then

width of P' = Dilation x width of P

8 = 2 (x + 3)

4 = x + 3

x = 1

So the value of x is 1.

More about the Dilation link is given below.

brainly.com/question/2856466