A number is fifteen more than five times another number. Their difference is one hundred eleven. What are the numbers?

24 and 135

Step-by-step explanation:

let x and y represent the numbers

x=15+5y

x-y=111

making x the subject in equation 2

x=111+y put into eqn 1

111+y=15+5y

-4y=-96 y=24

x=15+5(24)

x=135

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

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