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AlladinOne [14]
2 years ago
7

If DE = 8, PS = 4, and PQ = 3, then what is the scale factor of DEFG to PQRS?

Mathematics
1 answer:
posledela2 years ago
6 0

The scale factor of DEFG to PQRS is: 3/8.

<h3>What is a Scale Factor?</h3>
  • A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
  • Scale factor is ratio of corresponding side of new figure to original figure.

Thus:

DE corresponds to PQ.

PQRS is the new figure.

DE = 8; PQ = 3

  • Therefore:

Scale factor of DEFG to PQRS = PQ/DE

Scale factor = 3/8.

Thus, the scale factor of DEFG to PQRS is: 3/8.

Learn more about scale factor on:

brainly.com/question/2826496

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Step-by-step explanation:

The reciprocal of a number is 1 divided by the number. 1/4=0.25.

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Point T(-9,5) lies on the perpendicular bisector of UV. If the
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The coordinate of point V is at (-16, 9)

If Point T(-9,5) lies on the perpendicular bisector of UV, this means that the point divides the line UV into two equal parts

Given the following coordinates

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Required

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Using the midpoint formulas;

T(x, y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) \\T(-9, 5) = (\frac{-2+x_2}{2}, \frac{1+y_2}{2})

Get the value if x₂ and y₂

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Hence the coordinate of point V is at (-16, 9)

Learn more here: brainly.com/question/18049211

5 0
2 years ago
Destiny poured 24 ounces of juice into 4 1/2 ounce servings. She has 1 1/2 ounces of juice left over. How many 4 1/2 ounce servi
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Answer:

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Step-by-step explanation:

Hello there, in this problem we can solve for the amount of soil that Katie will need by multiplying the factor for one of them by the number of pots we have, 8. We get 16/3 cups of soil, or 5 and 1/3 cups of soil.

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Step-by-step explanation:

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