Question

Sabendo que a retas r,s,t são paralelas,utilize o teorema de tales e determine o valor de x.

Answer 1

a) $\frac{8}{6}$ = $\frac{x+4}{24}$

$\frac{4}{3}$ = $\frac{x+4}{24}$

4.24 = 3(x+4)

96 = 3x+12

3x = 84

x = $\frac{84}{3}$

x = 28

b) $\frac{12}{2x-2}$ = $\frac{21}{3x+1}$

12(3x+1) = 21(2x-2)

39x+12 = 42x-42

39x-42x=-42-12

3x = -54

x = $\frac{54}{3}$

x = 18