The reactangle has an area of x.
So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.
So that means the side lengths are <u />a and b. And ab = x (will be using this right next).
And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:




y can not equal to -3, because the length of a side of any polygon can never be negative.
So the dilation is 3.And so if the dimension is 5 by 8.
Then the area is

And so then

And then after the dilation, it would be

We could check it another way too. Since we said the scale factor is 3, then:

So
basically
15 by 24 is the new dimensions :)
The <em><u>correct answer</u></em> is:
Corresponding (for both blanks)
Explanation:
Corresponding angles are angles that are in the same relative position to both the parallel line they are on and the transversal. In this case, SQU and WRS are both above the parallel line they are on and on the same side of the transversal; this makes them corresponding angles. This also means it is the corresponding angles postulate.
You know that you need two already to make one hexagon. So, if you multiply, or add two four times, 2+2+2+2, you would get eight.
The answer to number 23 is D, 49.