What is the independent variable in this hypothesis "hot air balloons rise faster into the sky when the outside temperature is colder."

  outside temperature

Step-by-step explanation:

You can look for cause and effect. The cause (independent variable) is air temperature; the effect is the rate at which the balloon rises.

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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