Question

utilizando o teorema de Tales,calcule o valores de x e y,sendo a // b // c // d ​

Answer 1

✔OLÁ!!!

$c)\frac{x + 2}{2x - 3} = \frac{6}{5} \\ 12x - 18 = 5x + 10 \\ 12x - 5x = 10 + 18 \\ 7x = 28 \\ x = \frac{28}{7} \\ x = 4$

$d) \frac{y + 1}{6} = \frac{2y - 1}{4} \\ 12y - 6 = 4y + 4 \\ 12y - 4y = 4 + 6 \\ 8y = 10 \\ y = \frac{10}{8} \div 2 \\y = \frac{5}{4}$

$\frac{6}{x - 6} = \frac{4}{2} \\ 4x - 24 = 12 \\ 4x = 12 + 24 \\ 4x = 36 \\ x = \frac{36}{4} \\ x = 9$