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Answer:

2 and 7.5

Step-by-step explanation:

In order to produce an expansion, the scale factor must be larger than 1.  This is because 1 times the figure gives us the original figure; in order to give us sides that are larger than the original, we would need to multiply by more than 1.

The only scale factors here that are larger than 1 are 2 and 7.5.

The required scale factors for the given problem that produce expansion of the original image are 2 and 7.5.

What is a scale factor?

"A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object."

Given scale factors are - 0.1, 0.1, 2, and 7.5.

Here, we need to find out the scale factors that produce a expansion under a dilation of the original image.

We know, scale factors that are greater than 1, produce a expansion under a dilation of the original image.

Therefore, the required scale factors are 2 and 7.5.

Learn more about scale factor here: https://brainly.com/question/12960445

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