Answer:
A dilation preserves angle measures.
A dilation alters the length of line segments by the same proportion.
Step-by-step explanation:
A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.
Answer:
11 mm, 21 mm, and 16 mm.
Step-by-step explanation:
since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16
Using the interest formulas, it is found that the values of the investment are given as follows:
- Using simple interest, the value will be of $34,000.
- Using compound interest, the value will be of $144,461.
- Using continuous compounding, the value will be of $148,002.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:

In which:
- r is the interest rate, as a decimal.
In this problem, we have that the parameters are as follows:
P = 9000, r = 0.07, t = 40.
Hence:

<h3>Compound interest</h3>

n is the number of compounding, for quarterly n = 4, then:


<h3>Continuous compounding</h3>

Hence:

More can be learned about the interest formulas at brainly.com/question/25296782
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The answer to this is 180.
Answer:
y^5
Step-by-step explanation:
y^-2/y^-7
When we divide exponents with the same base, we subtract the exponents
y^ ( -2 - -7)
y^ ( -2+7)
y^ 5