What is the scale factor of Xyz to UVW?

In order to solve this problem, we are going to have to divide. Since the triangles are similar, then that means that we are going to have to find the ratio between the sides which will also be our scale factor.

We can divide 75 by 15 since they are corresponding sides. Once we find the ratio between the sides, then we can conclude that the scale factor would be that number.

75 / 15 = 5

So, the scale factor of XYZ to UVW is 5.

Anshuyadav Anshuyadav · Answer 2 · 2022-06-28T17:08:25+02:00

The scale factor of [tex]Xyz[/tex] to [tex]UVW[/tex] is 5.

What is scale factor?

The ratio that we get when you divide corresponding side lengths of similar figures is called the scale factor.

According to the given question.

We have a two triangles Xyz and UVW. And both the triangles are similar to each other.

In triangle Xyz we have

[tex]Xy = 60[/tex]

[tex]yz = 75[/tex]

and

[tex]zX = 90[/tex]

Also, in triangle UVW we have

[tex]UV = 12[/tex]

[tex]VW = 15[/tex]

and, [tex]WU = 18[/tex]

Therefore, the scale factor of Xyz to UVW is given by

[tex]\frac{Xy}{UV} =\frac{yz}{VW} =\frac{zX}{WU}[/tex]

⇒ [tex]\frac{60}{12} =\frac{75}{15} =\frac{90}{18} =5[/tex]

Hence, the scale factor of [tex]Xyz[/tex] to [tex]UVW[/tex] is 5.

Thus option B is correct.

Find out more information about scale factor here:

https://brainly.com/question/17202953

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