Respuesta :

frika

Answer:

13

Step-by-step explanation:

Two similar polygons have proportional corresponding sides. So,

[tex]\dfrac{x-3}{2.5}=\dfrac{8}{2}=\dfrac{16}{4}\\ \\\dfrac{x-3}{2.5}=4[/tex]

Solve this equation:

[tex]\dfrac{x-3}{2.5}=4\\ \\x-3=2.5\cdot 4\\ \\x-3=10\\ \\x-3+3=10+3\\ \\x=13[/tex]

akposevictor

Given that the two similar polygons, the value of x is determined as: 13.

Similar Polygons

Since the two given polygons are said to be similar, therefore, their corresponding side lengths are proportional to each other.

Thus:

(x - 3)/2.5 = 16/4

(x - 3)/2.5 = 4

  • Multiply both sides by 2.5

x - 3 = 4 × 2.5

x - 3 = 10

  • Add 3 to both sides

x = 10 + 3

x = 13

Therefore, given that the two similar polygons, the value of x is determined as: 13.

Learn more about similar polygons on:

https://brainly.com/question/2264759

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