Why is 60: 45 and 4 : 3 equivalent?

see explanation

Step-by-step explanation:

Given the ratio

60 : 45

Then the ratio can be simplified by dividing both parts by the highest common factor.

The highest common factor of 60 and 45 is 15

Dividing both parts of the ratio by 15 gives

60 : 14 = 4 : 3 ← in simplest form

b. astronomers

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: