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Radda [10]
3 years ago
5

Which of the following represents a rotation of ΔEFG, which has vertices E (4, −3), F (−7, 5), and G (2, 8), about the origin by

180°?
-----
E (3, 4)
F (−5, −7)
G (−8, 2)


E (−4, 3)
F (7, −5)
G (−2, −8)


E (−4, 3)
F (−7, −5)
G (−2, −8)


E (−4, 3)
F (7, −5)
G (−2, 8)
Mathematics
1 answer:
9966 [12]3 years ago
3 0
REMEMBER: A rotation of 180 degrees means you flip both x and y numbers

E(-4,3)
F(7,-5)
G(-2,-8)
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I've been having problems with this for a while...
Rina8888 [55]
Like all problems that involve images within the question, we should definitely try to draw this out. In the picture above, I have done this.

Now, we can see that this is just a simple proportion problem. For every 2.5 cm of height of the flower, we are 2 cm from the opening, or aperture. For every 20 cm of height, how far are we? We can set up the problem like this:

20 ............2.5
-------- = ---------
...x ............. 2

where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:

20×2 = 2.5 × x

Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).

We would then have:

20×2
------- = x
2.5

Which then simplifies to:

x = 16

Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)

3 0
3 years ago
Suppose you roll two dice. find the probability of rolling a sum of 11.​
stiv31 [10]

Answer:

1/18

Step-by-step explanation:

There are 36 different possible combinations. There are only two ways of rolling a sum of 11.

2/36 = 1/18

5 0
3 years ago
What is the scale factor of a pair of figures whose preimage has coordinates (-1, 1) (3,0) and (1, -4) and whose image has coord
ludmilkaskok [199]

Answer:

0.5

Step-by-step explanation:

6 0
3 years ago
HELP PLEASE
Anna [14]
For a cone, the equation for volume would be
V = π r^2 h/3.

( volume = pi x radius squared x height / 3)

To find the volume for this question, you would set up the equation like this:

V = π x 2^2 x 12 / 3

Then, following the order of operation, you would do the following:

V = π x 4 x 12 / 3

(You get the 4 from 2 squared)

V = π x 4 x 4

(You get the second 4 from dividing 12 by 3)

V = π x 16

(You get 16 from multiplying 4 and 4)

V = 16π

(You get 16π from multiplying 16 and π, and the number is always in front of the π, so you would never get a π16, it would only be 16π)

So, your volume would be 16π, which is answer D.

I hope I helped! c:
7 0
3 years ago
Identify the figure…………….
Triss [41]

Answer:

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option (b)

Step-by-step explanation:

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3 0
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