Question

Determine o valor de x nos feixes de retas paralelas:

Answer 1

Resposta:

Pelo Teorema de Tales:

\sf \dfrac{x}{3}=\dfrac{10}{15}3x=1510

\sf 15x=3\cdot1015x=3⋅10

\sf 15x=3015x=30

\sf x=\dfrac{30}{15}x=1530

\sf \red{x=2}x=2

b)

Pelo Teorema de Tales:

\sf \dfrac{x}{4}=\dfrac{10}{8}4x=810

\sf 8x=4\cdot108x=4⋅10

\sf 8x=408x=40

\sf x=\dfrac{40}{8}x=840

\sf \red{x=5}x=5

c)

Pelo Teorema de Tales:

\sf \dfrac{x}{3}=\dfrac{4}{6}3x=64

\sf 6x=3\cdot46x=3⋅4

\sf 6x=126x=12

\sf x=\dfrac{12}{6}x=612

\sf \red{x=2}x=2

d)

Pelo Teorema de Tales:

\sf \dfrac{x}{9}=\dfrac{2}{6}9x=62

\sf 6x=9\cdot26x=9⋅2

\sf 6x=186x=18

\sf x=\dfrac{18}{6}x=618

\sf \red{x=3}x=3