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OLga [1]
3 years ago
6

If pentagon ABCDE is rotated 180° around the origin to create pentagon A′B′C′D′E′, what is the ordered pair of point D′?

Mathematics
2 answers:
Softa [21]3 years ago
4 0

Answer:

Its  A (-1,2)

Step-by-step explanation:

180 degree rule is (-x,-y)

point D is (1,-2)

Since the two is already a negative you have to turn it into a positive so that's why it would be (-1,2).

Vesna [10]3 years ago
3 0
Can u include a picture?
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The sum of three consecutive odd integers is -75. What is the smallest number
pashok25 [27]

Answer:

-27

Step-by-step explanation:

First, let's call the smallest number: n

Then, the next two consecutive odd numbers would be:

n+2 and n+4 (this is because it's only odd numbers so we add 2)

We know the sum of these is −75 so we can write this equation and solve for n:

n + (n + 2) + (n + 4) = -75

n + n + 2 + n + 4 = -75

n + n + n + 2 + 4 = -75

n + n + n + 6 = -75

1n + 1n + 1n + 6 = -75

3n + 6 = -75        Subtract 6 from each side, which cancels the 6 on the left.

3n + 6 - 6 = -75 - 6

3n = -75 - 6

3n = -81       Divide each side by 3

3n/3 = -81/3

n = -81/3

n = -27

n + 2 = -27 + 2 = -25

n + 4 = -27 + 4 = -23

The 3 consecutive odd integers would be:

-27, -25, -23

Let's check our work:

-27 + -25 + -23 = -75    We are correct!

The smallest number is -27

3 0
2 years ago
What is the annual interest earned on a $4,000 deposit with a simple interest rate of 3%?
jasenka [17]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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Which ordered pair could not be the coordinates for a clockwise rotation of the point W(-3, 4)?
Eduardwww [97]

Step-by-step explanation:

<em>Look at the picture.</em>

Any pair of choice can be the coordinates of the rotation of the point

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All points have the same distance from the beginning.

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d=\sqrt{x^2+y^2}

W(-3, 4)

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d=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

(4, 3)

d=\sqrt{4^2+3^2}=\sqrt{9+16}=\sqrt{25}=5

(-4, -3)

d=\sqrt{(-4)^2+(-3)^2}=\sqrt{9+16}=\sqrt{25}=5

(-4, 3)

d=\sqrt{(-4)^2+3^2}=\sqrt{9+16}=\sqrt{25}=5

3 0
3 years ago
Which is equivalent to 5/9-3/8+(-1/4)+1 4/9+1 5/8
AysviL [449]

5/9-3/8+(-1/4)+1 4/9+1 5/8=3

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91 is 70% of what number?91 is 70% of what number?
Oduvanchick [21]

Answer:  91 is 70% of 130

Step-by-step explanation:

:)

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2 years ago
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