chelsea071606 chelsea071606
  • 17-09-2021
  • Mathematics
contestada

The polygons to the right are similar. Find the value of each variable.

The polygons to the right are similar Find the value of each variable class=

Respuesta :

jimrgrant1 jimrgrant1
  • 17-09-2021

Answer:

x = 15 , y = 8

Step-by-step explanation:

Since the triangles are similar, then ratio of corresponding sides are in proportion, that is

[tex]\frac{x}{45}[/tex] = [tex]\frac{17}{51}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3x = 45 ( divide both sides by 3 )

x = 15

---------------------------------------------

Similarly

[tex]\frac{y}{24}[/tex] = [tex]\frac{1}{3}[/tex] , so

3y = 24 ( divide both sides by 3 )

y = 8

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