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Resposta:

Olá!

Semelhança entre os segmentos dos triângulos

[tex]\frac{2x-2}{(2x-2)+2} = \frac{2x+6}{2x+6+3}[/tex]

[tex]\frac{2x-2}{(2x)} = \frac{2x+6}{2x+9}[/tex]

(2x - 2)(2x + 9) = 2x(2x + 6)

4x² + 18x - 4x - 18 = 4x² + 12x

18x - 4x - 18 = 12x

14x - 12x = 18

2x = 18

x = 18/2

x = 9

x = 11

2x-2/2 = 2x+6/3

2(2x+6) = 3(2x-2)

4x+16 = 6x-6

4x-6x = -16-6

-2x = -22

x = 22/2

x = 11

Bom dia ❤️

16/12/22