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In Exercises 25–28, the red figure is the image of the
blue figure after a dilation with center C. Find the
scale factor of the dilation. Then find the value of
the variable.

In Exercises 2528 the red figure is the image of the blue figure after a dilation with center C Find the scale factor of the dilation Then find the value of the class=

Respuesta :

Dilation involves changing the size of a shape

The scale factor is 2, and the value of the variable is 6

How to determine the scale factor

From the figure, the scale factor is the quotient of the red figure and the blue figure.

So, we have:

[tex]k = \frac{28}{14}[/tex]

Divide

[tex]k = 2[/tex]

The value of the variable (n) is then calculated as:

[tex]n * k = 12[/tex]

This gives

[tex]n * 2 = 12[/tex]

Divide both sides by 2

[tex]n = 6[/tex]

Hence, the scale factor is 2, and the value of the variable is 6

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