Respuesta :

Answer: 
[tex]\boxed {\frac{1}{5}} [/tex]

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Solution-
[tex]60 * \frac{1}{5} = 12[/tex]

[tex]90 * \frac{1}{5} = 18[/tex]

[tex]75 * \frac{1}{5} = 15[/tex]
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Hence, the answer would be [tex]\boxed {\frac{1}{5}} [/tex]
kudzordzifrancis

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

We want to find the scale factor of the dilation from ΔXYZ to ΔUVW.


The scale factor is given by the formula;

[tex]k=\frac{Image\:Length}{Corresponding\:Object\:Length}[/tex]


Since the dilation is from ΔXYZ to ΔUVW, our image triangle is ΔUVW.


We can now use any of the corresponding sides to determine the scale factor.


[tex]k=\frac{|UV|}{|XY|}[/tex]


[tex]\Rightarrow k=\frac{12}{60}[/tex]


We simplify to get;

[tex]\Rightarrow k=\frac{12}{12\times5}[/tex]


We cancel the common factors to get;

[tex]\Rightarrow k=\frac{1}{5}[/tex]


Therefore the scale factor is [tex]\frac{1}{5}[/tex]



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