The scale factor of figure STUV to figure WXYZ is 3:1 if ST = 117 mm an SV = 153 mm what is the length of YZ

Please tell me the answer then explain how you got it. Please!

I feel your pain :(

The scale factor means that figure WXYZ has sides that are 1/3 as long the corresponding sides of figure STUV.

Thus:
WX = (1/3)(117) = 39 mm
WZ = (1/3)(153) = 51 mm
Hmm...looks like your question needs a little more information for you to figure out YZ. Does it it say what kind of shape these are? If so, use the characteristics of that shape to keep working through to the answer.

i know this it is easy

To find the length of YZ, we need to use the scale factor. The scale factor is the ratio between the corresponding sides of two similar figures.

Given: The scale factor of figure STUV to figure WXYZ is 3:1.

We are given that ST = 117 mm and SV = 153 mm. Based on the scale factor, we can set up the following proportion:

(STUV / WXYZ) = 3/1

Now we can use the given values to solve for the length of YZ.

117 / YZ = 3 / 1

To isolate YZ, we can cross-multiply:

117 * 1 = 3 * YZ

117 = 3 * YZ

Finally, divide both sides by 3 to solve for YZ:

YZ = 117 / 3

YZ = 39 mm

So, the length of YZ is 39 mm.