In the diagrams below, abc is similar to rst. use a proportion with sides ab and rs to find the scale factor of abc to rst. show your work.

The scale factor of triangle ABC to triangle RST is 1/3

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ----> the scale factor

To find the scale factor divide the length side of the image (reduced triangle) by the corresponding length side of the pre-image (original triangle)

substitute the values

simplify

The scale factor is less than 1

so

Is a reduction

12*c

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb