Question

Alguem sabe fazer isso??? preciso pra hojeee​

Answer 1

Resposta:

Teorema de Tales

$a)\\ \dfrac{x}{6}=\dfrac{3}{4}\\ \\ multiplica~~cruzado\\ \\ 4x=18\\ \\ x= \dfrac{18}{4}\\ \\\boxed{ x=\dfrac{9}{2}}$

$b)\\ \dfrac{2x-2}{3x+1}=\dfrac{4}{7}\\ \\ 7.(2x-2)=4.(3x+1)\\ \\ 14x-14=12x+4\\ \\ 14x-12x=4+14\\ \\ 2x=18\\ \\ x=18\div2\\ \\ \boxed{x=9}$

$c)\\\dfrac{x}{x+2}=\dfrac{9}{12}\\ \\ 12x=9.(x+2)\\ \\ 12x=9x+18\\ \\ 12x-9x=18\\ \\ 3x=18\\ \\ x=18\div3\\ \\\boxed{ x=6}$

$d)\\ \dfrac{6}{4}=\dfrac{x}{1,8}\\ \\ 4x=6.(1,8)\\ \\ 4x=10,8\\ \\ x=10,8\div4\\ \\\boxed{ x=2,7}$