Which property justifies this statement?

if x=y+2x=y+2 and y+2=8y+2=8, then x=8x=8.

symmetric property of equality

addition property of equality

subtraction property of equality

transitive property of equality

option D

Transitive property of equality

Explanation:

Transitive property of equality justifies the statement:

x=y+2 , y+2=8 then;  x= 8

Transitive property of equality states that if we have two things that are equal to each other and the second thing is equal to a third thing then, the first thing is also equal to the third thing.

In mathematical terms: if a=b and b=c then a=c.

As per the given statement:

a = x , b= y+2 and c= 8

then,

a=b i.e, x=y+2 and

b=c i.e, y+2 =8 then

by using transitive property of equality, we get;

a=c i.e, x=8

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

whatvare the choices

step-by-step explanation: