Question

teorema da Beatriz de um triângulo, determine o valor de X ​

Answer 1

Resposta:

teorema da Bissetriz

A)

$\dfrac{x+5}{10}=\dfrac{3x}{14}\\ \\ multiplica~~cruzado\\ \\ 30x=14(x+5)\\ \\ 30x=14x+70\\ \\ 30x-14x=70\\ \\ 16x=70\\ \\ x=70:16\\ \\\boxed{ x=4,375}$

B)

$\dfrac{32}{16}=\dfrac{x}{18}\\ \\ 16x=576\\ \\ x=576:16\\ \\ \boxed{x=36}$

C)

$\dfrac{8}{2x}=\dfrac{10}{3x-1,5}\\ \\ 8.(3x-1,5)=20x\\ \\ 24x-12=20x\\ \\ 24x-20x=12\\ \\ 4x=12\\ \\ x=12:4\\ \\\boxed{ x=3}$

D)

$\dfrac{6}{3}=\dfrac{8}{x}\\ \\ 6x=24\\ \\ x=24:6\\ \\ \boxed{x=4}$