Question

Determine o valor de x no feixe de retas paralelas

Answer 1

Explicação passo-a-passo:

h)

Pelo Teorema de Tales:

$\sf \dfrac{x}{10}=\dfrac{2}{2+3}$

$\sf \dfrac{x}{10}=\dfrac{2}{5}$

$\sf 5x=10\cdot2$

$\sf 5x=20$

$\sf x=\dfrac{20}{5}$

$\sf \red{x=4}$

i)

Pelo Teorema de Tales:

$\sf \dfrac{1}{1+4}=\dfrac{x}{5}$

$\sf \dfrac{1}{5}=\dfrac{x}{5}$

$\sf 5x=1\cdot5$

$\sf 5x=5$

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

$\sf \red{x=1}$

Answer 2

Use o Teorema de Tales:

h)

2/3 = x/(10 - x)

20 - 2x = 3x

3x + 2x = 20

5x = 20

x = 20/5

x = 4

i)

1/4 = x/(5 - x)

5 - x = 4x

4x + x = 5

5x = 5

x = 5/5

x = 1

Resposta:

h) 4

i) 1