Question

Sobre o teorema de tales responda:

Answer 1

Explicação passo-a-passo:

01)

$\sf \dfrac{x}{25}=\dfrac{60}{40}$

$\sf 40x=25\cdot60$

$\sf 40x=1500$

$\sf x=\dfrac{1500}{40}$

$\sf x=37,5~cm$

2)

$\sf \dfrac{x}{4}=\dfrac{3}{2}$

$\sf 2x=4\cdot3$

$\sf 2x=12$

$\sf x=\dfrac{12}{2}$

$\sf x=6$

$\sf \dfrac{y}{4}=\dfrac{4}{2}$

$\sf 2y=4\cdot4$

$\sf 2y=16$

$\sf y=\dfrac{16}{2}$

$\sf y=8$

$\sf \dfrac{z}{12}=\dfrac{2}{4}$

$\sf 4z=12\cdot2$

$\sf 4z=24$

$\sf z=\dfrac{24}{4}$

$\sf z=6$

3)

$\sf \dfrac{x}{5}=\dfrac{12}{5+3}$

$\sf \dfrac{x}{5}=\dfrac{12}{8}$

$\sf 8x=5\cdot12$

$\sf 8x=60$

$\sf x=\dfrac{60}{8}$

$\sf x=7,5$