Question

Atividade Teorema De Tales: Sendo r || s|| t ,determine o valor de x​​

Answer 1

Explicação passo-a-passo:

a)

Pelo Teorema de Tales:

$\sf \dfrac{x}{18}=\dfrac{3}{6}$

$\sf 6x=18\cdot3$

$\sf 6x=54$

$\sf x=\dfrac{54}{6}$

$\sf \red{x=9}$

b)

Pelo Teorema de Tales:

$\sf \dfrac{2x+2}{4x-12}=\dfrac{8}{12}$

$\sf 8\cdot(4x-12)=12\cdot(2x+2)$

$\sf 32x-96=24x+24$

$\sf 32x-24x=24+96$

$\sf 8x=120$

$\sf x=\dfrac{120}{8}$

$\sf \red{x=15}$

c)

Pelo Teorema de Tales:

$\sf \dfrac{x}{3}=\dfrac{8}{6}$

$\sf 6x=3\cdot8$

$\sf 6x=24$

$\sf x=\dfrac{24}{6}$

$\sf \red{x=4}$

d)

Pelo Teorema de Tales:

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

$\sf 2x=4\cdot3$

$\sf 2x=12$

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

$\sf \red{x=6}$