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liberstina [14]
3 years ago
5

What is the scale factor of XYZ to UVW

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
8 0
Answer: 
\boxed {\frac{1}{5}}
<span>
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span>
Solution-
60 *  \frac{1}{5}  = 12

90 * \frac{1}{5} = 18

75 * \frac{1}{5} = 15
<span>━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━<span>━━
</span></span>Hence, the answer would be \boxed {\frac{1}{5}}
solong [7]3 years ago
7 0

Answer:

\frac{1}{5}

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;

k=\frac{Image\:Length}{Corresponding\:Object\:Length}


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.


k=\frac{|UV|}{|XY|}


\Rightarrow k=\frac{12}{60}


We simplify to get;

\Rightarrow k=\frac{12}{12\times5}


We cancel the common factors to get;

\Rightarrow k=\frac{1}{5}


Therefore the scale factor is \frac{1}{5}



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