Here the answer is
D) A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.
Definition of Dilation
Dilation stretches or shrinks the original figure. Each pre-image point has exactly one point on the image which multiplied or reduced the scale factor.
Thank you
6% or 75 is 4.5
If you need to round to the nearest whole number, then your answer is 5
<h3>Answers:</h3>
- (a) True
- (b) True
- (c) False
- (d) True
- (e) False
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Explanations:
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Part (a)
Applying a rotation will not change the length of XY. This means segment X'Y is the same length as segment XY.
Put another way: (distance from X to Y) = (distance from X' to Y)
So if we have Y as the center of the circle, and XY as the radius, then X and X' are both on the same circle.
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Part (b)
As explained in part (a), the segments XY and X'Y are both radii of the same circle, so they are equal to one another.
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Part (c)
Draw a right triangle with side lengths XY, X'Y and hypotenuse XX'
Note how a 45-45-90 triangle forms. We can use the pythagorean theorem to show that XX' is larger than XY. Therefore, XX' and XY aren't equal.
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Part (d)
This angle forms because we rotated point X 90 degrees with the center point as Y. It might help to think of point Y at the origin. So that's why this statement is true.
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Part (e)
This is false because segment X'Y or YX' is a radius and not a diameter. We would need to multiply by 2 to get a diameter.
Answer:
Part A: 
Part B : x = 15
Part C: Megan purchased 15 books.
Step-by-step explanation:
Megan earns a rebate each month on completing surveys and books.
She earns $0.75 for each survey she completes and $1 for each book. Now, last month Megan completed 8 surveys and earned $21.
Part A: If Megan purchased x number of books last month, then the equation that will determine the number of books she purchased, is
.......... (1) (Answer)
Part B: Now, solving equation (1) we get,
6 + x = 21 {Since, 0.75 × 8 = 6}
⇒ 6 + x - 6 = 21 - 6 {Subtracting 6 from each side} {Subtraction property}
⇒ x = 15 (Answer)
Part C: Megan purchased last month 15 books. (Answer)
