Question

Encontre o valor de x,sabendo que r//s//t

Answer 1

Pelo Teorema de Tales:

1)

$\frac{x}{x + 3} = \frac{4}{x + 8}$

4(x+3) = x(x+8)

4x+12 = x²+8x

x²+4x-12 = 0

x1= 2 e x2 = -6

2)

$\frac{4x - 4}{6x + 2} = \frac{8}{14}$

8(6x+2) = 14(4x+4)

48x+16 = 56x+56

56x-48x = 16-56

8x = -40

x = -40/8

x = -5