Respuesta :

Answer:

x = 24

y = 7

Step-by-step explanation:

Using the ratios of the corresponding sides, the variables can be solved:

For x:

[tex]\frac{48}{50}=\frac{x}{25} \\\frac{24}{25}=\frac{x}{25}\\x=\frac{24}{25}*25\\x=24[/tex]

For y:

[tex]\frac{14}{50}=\frac{y}{25} \\\frac{14}{25}=\frac{y}{25}\\y=\frac{7}{25}*25\\y=7[/tex]

The values of x and y in the similar polygons are 24 and 7 respectively.

What are similar polygons?

We know that for similar polygons, the corresponding sides of the polygons are in ratio.

What is the ratio of the given figure?

It is given that the two triangles given are similar, therefore, their corresponding sides will be in ratio,

[tex]\dfrac{25}{50} = \dfrac{y}{14}=\dfrac{x}{48}[/tex]

What is the value of x?

We will use the same ratio of the similar triangles we have already found out,

[tex]\dfrac{25}{50} =\dfrac{x}{48}\\\\x = \dfrac{25 \times 48}{50}\\\\x = 24[/tex]

Thus, the value of x is 24.

What is the value of y?

We will use the same ratio of the similar triangles we have already found out,

[tex]\dfrac{25}{50} =\dfrac{y}{14}\\\\y = \dfrac{25 \times 14}{50}\\\\y = 7[/tex]

Thus, the value of y is 7.

Hence, the values of x and y in the similar polygons are 24 and 7 respectively.

Learn more about Similar polygons:

https://brainly.com/question/26284183

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