Question

VALENDO 25 PONTOS

as figuras a seguir nos mostram pares de triângulos semelhantes, dessa forma, calcule os valores de x e y

Answer 1

Respostas:

a)....20/15 = y/9.....=> 4/3 = y/9.....=> 3.y = 36......=> y = 12

.......15/x = 9/18....=> 15/x = 1/2.....=> 1 . x = 2 .15...=> x = 30

b)....12/x = 9/3...=> 12/x = 3/1....=> 3.x = 12......=> x = 4

........6/y = 9/3...=> 6/y = 3/1....=> 3.y = 6.......=> y = 2

c).....6/4 = x + 6 / 6.....=> 3 / 2 = x+6 / 6.....=> 2.(x + 6) = 3 . 6

................................................ 2.x + 12 = 18...=> 2.x = 18 - 12

....................................................................................2.x = 6.........=> x = 3

......6 / 4 = y+4 / y....=> 3 / 2 = y+4 / y

..........................................3 . y = 2 .(y + 4)

...........................................3 . y = 2.y + 8....=> 3.y - 2.y = 8....=> y = 8

d)....7 / x+1 = 5 / 6....=> 5 .(x+1) = 6 . 7

..............................................5.x + 5 = 42

...............................................5.x = 42 - 5 = 37...=> x = 37/5.....=> x = 7,4

.......7 / 8 = 5 / y+3....=> 7.(y + 3) = 8 . 5

..............................................7.y + 21 = 40

..............................................7.y = 40 - 21 = 19......=> y = 19//7