shilolopez26 shilolopez26
  • 22-07-2022
  • Mathematics
contestada

WORTH 50 points pls answer.
The two polygons are similar. Find the values of x and y

WORTH 50 points pls answer The two polygons are similar Find the values of x and y class=

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KurdishPotato
KurdishPotato KurdishPotato
  • 22-07-2022

Answer:

y = 120

x = 10.6

Step-by-step explanation:

Given polygons are parallelograms.

In parallelograms, consecutive angles are supplementary which means their sum is equal to 180.

Since two parallelograms are similar:

60 + y = 180 subtract 60 from both sides

y = 120

To find the value of x:

side lengths are proportional because these are similar polygons

[tex]\frac{x+4}{22} = \frac{12}{18}[/tex] cross multiply fractions

18x + 72 = 264 subtract 72 from both sides

18x = 192 divide both sides by 18

x = 10.6 approximately

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