When a shape is dilated, the size of the resulting shape will either be bigger or smaller than the original shape.
The measure of side YW is 46
Given that:
[tex]k = \frac 34[/tex] ---- scale of dilation from [tex]\triangle WXY[/tex] to [tex]\triangle W'X'Y'[/tex]
[tex]Y'W' = 34.5[/tex]
This means that:
Side lengths of [tex]\triangle W'X'Y[/tex] = Side lengths of [tex]\triangle WXY \times k[/tex]
So, we have:
[tex]Y'W' = YW \times k[/tex]
Substitute known values
[tex]34.5 = YW \times \frac 34[/tex]
[tex]34.5 = YW \times 0.75[/tex]
Divide both sides by 0.75
[tex]46 = YW[/tex]
Rewrite as:
[tex]YW =46[/tex]
Hence, the measure of side YW is 46
Read more about dilation at:
https://brainly.com/question/2856466
