The ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3. The smaller can has a surface area of 180 square centimeters. Find the surface area of the larger can.

Step-by-step explanation:

We have that, the ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3.

We want to find the area of the larger can, if the smaller can has a surface area of 180 square centimeters.

We know the scale factor is

To find the surface area of the larger can, we multiply the square of the scale factor by 180.

This implies that, the surface area of the larger can is

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:

there are infinitely many solutions.