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Sholpan [36]
3 years ago
12

Please help Asap, will give brainiest only if answer correctly with a good explanation

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

D, or the last option.

Step-by-step explanation:

See how the rotation does not say whether it is Clockwise or Counterclockwise?

Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.

Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).

So, 90* rotation CCW. Simple! Thus, the last option should be correct.

Hope this helps!

P.S. Stay Safe!

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lisov135 [29]
For number 4, we'll need a few facts to answer our question:

- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°

Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.

Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.

We have:

x+x+24=180, or 2x+24=180

Solving for x:

(2x+24)-24=180-24\\2x=156\\(2x)/2=(156)/2\\x=78

So, x = 78°.

For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
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3 years ago
The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 5 and a root of multiplicity 1 at x = − 4 . The y -in
goblinko [34]

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Answer:

Step-by-step explanation:

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3 years ago
A town's population is 14,280, and it is increasing by 160 people every year. A nearby town has a population of 24,000, and it i
fgiga [73]

Answer:

27 years

Step-by-step explanation:

Given that :

Town A:

Initial population = 14280

Rate = increase by 160 per year

Let t = time in years

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14280 + 160t - - - (1)

Town B:

Initial population = 24000

Rate = decrease by 200 per year

P = 24000 - 200t - - - (2)

Equate both equations :

14280 + 160t = 24000 - 200t

160t + 200t = 24000 - 14280

360t = 9720

t = 9720 / 360

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In 27 years

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