Respuesta :

gcantiga44

Answer:

x = 5

y = 6

Step-by-step explanation:

9 = 6 by a scale factor of [tex]\frac{1}{3}[/tex]

Use the scale factor to solve for x and y.

For x,

15 × [tex]\frac{1}{3}[/tex] = 5

For y,

18 × [tex]\frac{1}{3}[/tex] = 6

The value of x and y are 10 and 12 respectively.

Given that, ΔABC and ΔMNP are similar.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

Now, AB/PM=BC/PN=AC/MN

⇒15/x=18/y=9/6

⇒15/x=3/2

⇒x=10

⇒18/y=3/2

⇒y=12

Therefore, the value of x and y are 10 and 12 respectively.

To learn more about similar triangles visit:

https://brainly.com/question/25882965.

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