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erastovalidia [21]
3 years ago
7

Point P is the center of dilation. Triangle S T U is dilated to create triangle S prime T prime U prime. The length of P T is 2.

The length of T T prime is 10.
Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor? Select two options.

The triangle pre-image is closer to the point of dilation than the image.
The triangle image is closer to the point of dilation than the pre-image.
The value of the scale factor, One-sixth, is between 0 and 1.
The value of the scale factor, 6, is greater than 1.
The vertices of the pre-image are collinear with the vertices of the image.
Mathematics
2 answers:
Stels [109]3 years ago
6 0

Answer:

A and D

Step-by-step explanation:

i took the quiz

kvasek [131]3 years ago
4 0

Answer:

A and D

Step-by-step explanation:

edge2021

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$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent
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\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
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\text{we know that the amount after t year when compounded is given by}\\
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A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
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\text{here P is the principal amoount, so }P=7000,\\
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\text{r is the interest rate, }r=11\%=0.11\\
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\text{n is the number of times in a year, here semiannulay, so }n=2,\\
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A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
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Andreas93 [3]

The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The area of the table runner = 80 square inches

Let's assume the length of the rectangle is L and the width is W

Then L = 5×W ...(1)

L×W = 80 ...(2)

Put the value of L in the equation (2)

5W(W) = 80

5W² = 80

W² = 16

W = ±4

Width cannot be negative.

W = 4 inches putting this value in the equation (1)

L = 5(4) = 20 inches

Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

Learn more about the area here:

brainly.com/question/14383947

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