Question

Sabendo que na figura há tres retas paralelas, e que a+b =35, qual o valor de a. *

9
11
20
15 ​

Answer 1

$\boxed{\begin{array}{l}\sf\dfrac{a}{b}=\dfrac{6}{8}\\\\\sf\dfrac{a}{6}=\dfrac{b}{8}=k\implies a=6k~~b=8k\\\sf a+b=35\\\sf 6k+8k=35\\\sf 14k=35\\\sf k=\dfrac{35\div7}{14\div7}\\\\\sf k=\dfrac{5}{2}\\\\\sf a=6k\\\sf a=\diagdown\!\!\!\!\!6\cdot\dfrac{5}{\diagdown\!\!\!\!2}\\\\\sf a=3\cdot5=15\end{array}}$

Answer 2

Explicação passo a passo:

a/b = 6/8 >>>>>>1

a + b =35

aplicando a propriedade da soma nas proporções >>>>>1 temos

(a +b)/a = ( 6 + 8)/6

35/a = 14/6

em cruz

14 *a= 35 * 6

14a = 210

a = 210/14 = 15 >>>>resposta d