Question

1-nas figuras, a//b//c,calcule o valor x

Answer 1

Explicação passo-a-passo:

Usando o Teorema de Tales:

a)

$\dfrac{2}{4} =\dfrac{3}{x}\\\\2x=3.4\\\\2x=12\\\\x=\dfrac{12}{2}\\\\\boxed{\boxed{x=6}}$

b)

$\dfrac{4}{12} =\dfrac{x}{21}\\\\12x=21.4\\\\12x=84\\\\x=\dfrac{84}{12}\\\\\boxed{\boxed{x=7}}$

c)

$\dfrac{x}{14} =\dfrac{9}{12}\\\\12x=9.14\\\\12x=126\\\\x=\dfrac{126}{12}\\\\\boxed{\boxed{x=10,5}}$

d)

$\dfrac{x}{9} =\dfrac{8}{12}\\\\12x=8.9\\\\12x=72\\\\x=\dfrac{72}{12}\\\\\boxed{\boxed{x=6}}$