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slamgirl [31]
3 years ago
10

What is the five-number summary for 1, 3, 3, 3, 4, 8, 9, 10, 10, 17?

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

I think 3 ............................three

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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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$11,900

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