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Lesechka [4]
3 years ago
6

Determine if each pair of rates are equivalent. 12 postersfoe 36 students; 21 posters for 63 students

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Determine whether 12/36 = 21/63.

Note that 12/36 reduces to 1/3, and that 21/63 also reduces to 1/3.  So, yes, the  given rates are equivalent.

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Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectan
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Answer:

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Step-by-step explanation:

Every point coordinate of the dilated figure will be smaller by the same factor.

Looking at the original (0, 3) coordinate, we find that possible answer choices include ...

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Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.

In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.

6 0
3 years ago
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Keith_Richards [23]

You're going to need to use Pythagoras' theorem to work this one out!

As you know, the perimeter of a triangle is just all the lengths of the sides added up.

We'll start with side AC first. We can see that A is (-8, -4) and C is (-6, -2). That means to get from A to C, we need to go 2 units to the right, and 2 units up. Which means we have our two sides to work out the length from Pythagoras' theorem. 2² + 2² = c², c = √8.

Now we'll move onto side AB. We already know A is (-8, -4) from above, and B is (-7, -8). That means to get from A to B, we have to go 4 units down, and 1 unit to the right. So once again: 4² + 1² = c², c = √17.

Lastly, we'll work out side BC. We know that B is (-7, -8) and C is (-6, -2). That means to get to C from B, we have to go 1 unit to the right and 6 units up. So, again: 1² + 6² = c², c = √37.

Now that we have all of our lengths, we simply just add them up!

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(I've also attached something to help you visualise how I worked it out.)

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3 years ago
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Murljashka [212]

Answer:

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Step-by-step explanation:

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Keith_Richards [23]
I did it on the calculator the answer was 0.1833333333333333 i do not know if this is correct if its incorrect then srry :(
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