Question

Sendo a//b//c,calcule o valor de x em cada item ​

Answer 1

Explicação passo-a-passo:

a)

Pelo Teorema de Tales:

$\sf \dfrac{x}{19,5}=\dfrac{12}{18}$

$\sf 18x=19,5\cdot12$

$\sf 18x=234$

$\sf x=\dfrac{234}{18}$

$\sf \red{x=13}$

b)

Pelo Teorema de Tales:

$\sf \dfrac{x}{10}=\dfrac{15}{20}$

$\sf 20x=10\cdot15$

$\sf 20x=150$

$\sf x=\dfrac{150}{20}$

$\sf \red{x=7,5}$

c)

Pelo Teorema de Tales:

$\sf \dfrac{9}{9+5}=\dfrac{x}{21}$

$\sf \dfrac{9}{14}=\dfrac{x}{21}$

$\sf 14x=9\cdot21$

$\sf 14x=189$

$\sf x=\dfrac{189}{14}$

$\sf \red{x=13,5}$

d)

Pelo Teorema de Tales:

$\sf \dfrac{12}{33}=\dfrac{8}{x}$

$\sf 12x=33\cdot8$

$\sf 12x=264$

$\sf x=\dfrac{264}{12}$

$\sf \red{x=22}$