emilykyle23 emilykyle23
  • 23-04-2021
  • Mathematics
contestada

The polygons below are similar, find the value of x.

The polygons below are similar find the value of x class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 23-04-2021

Answer:

x = 7

Step-by-step explanation:

Since, both the polygons are similar, therefore their corresponding sides would be in proportion.

[tex] \therefore \: \frac{30}{4 + 3x} = \frac{36}{30} \\ \\ \therefore \: \frac{30}{4 + 3x} = \frac{6}{5} \\ \\ 6(4 + 3x) = 30 \times 5 \\ \\ 24 + 18x = 150 \\ \\ 18x = 150 - 24 \\ \\ 18x = 126 \\ \\ x = \frac{126}{18} \\ \\ x = 7[/tex]

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