Question

33. Sendo r // s // t. O valor de x + y na figura abaixo é:
a) 24.
b) 48.
c) 64.
d) 72.
e) 36.

Answer 1

Teorema de Tales
 A-) $\frac{10}{15} = \frac{3x+1}{5x-2}$
50x-20= 45x+15
50x-45x=15+20
5x=35
x=$\frac{35}{5}$
x= 7

3x+1= 3.7+1 = 22
5x-2= 5.7-2 = 33

B-)$\frac{12}{21}$ = $\frac{2x-2}{3x+1}$
36x+12 = 42x -42
42+12 =42x - 36x
54=6x
x=$\frac{54}{6}$
x= 9

2x-2 = 2.9-2= 16
3x+1 =3.9+1= 28