Marvin and Ruby had the same number of stickers. After Marvin gave 12 stickers to Ruby, Ruby had 4 times as many as Marvin. How many stickers did Ruby have in the beginning?

20 Tickets

Step-by-step explanation:

Given

Marvin and Ruby had the same number of stickers.

Let

no. of tickets with Ruby = No. of tickets with Marvin = x

condition

Marvin gave 12 ticket to Ruby

Now\

no. of tickets with Ruby = x+12

No. of tickets with Marvin = x-12

Ruby had 4 times as many as Marvin

Thus,

no. of tickets with Ruby = 4* No. of tickets with Marvin

x+12= 4(x-12) = 4x-48

x+12 = 4x-48

adding 48 both sides

x+12 +48= 4x-48+48

x+60 = 4x

subtracting 4 from both sides

x+60 -x= 4x -x

60 = 3x

dividing both side by 3

60/3 = 3x/3

x = 20

Thus, Ruby had 20 tickets in the beginning.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

fdvs

step-by-step explanation: vsfdvsfvd