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quester [9]
3 years ago
15

Which set of line segments can be used to construct a triangle?

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Answer:

Option B

Step-by-step explanation:

<u>Option A </u>

In order to make a triangle:  a + b > c and b + c > a and c + a > b

2 is a, 6 is b, and 1 is c

a + b > c

2 + 6 > 1

8 > 1 -> <em>TRUE </em>

b + c > a

6 + 1 > 2

7 > 2 -><em> TRUE </em>

c + a > b

1 + 2 > 6

3 > 6 -> <em>FALSE </em>

<u>Option B </u>

In order to make a triangle:  a + b > c and b + c > a and c + a > b

3 is a, 3 is b, 2 is c

a + b > c

3 + 3 > 2  

6 > 2 -> <em>TRUE </em>

b + c > a

3 + 2 > 3

5 > 3 -> <em>TRUE </em>

c + a > b

2 + 3 > 3

5 > 3 -> <em>TRUE </em>

OPTION B IS A TRIANGLE

Option C and D are automatically incorrect because Option B is incorrect.  But, the same process would go to the end.

Answer: Option B

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valentina_108 [34]

Answer:

n(B)=21.

Step-by-step explanation:

n(AUB) means the the number of elements in both A & B. And that includes                  the ones in common too.

n(A∩B) means the ones that in common.

n(A-B) refers to the elements that belong to A alone. That means the elements in A excluding the common elements.

n(B) is the number of elements that belong to B and that includes the common ones too.

Now coming to your question.

The total number of elements that can fit in both the sets is 36.

While the number of common elements is 16.

And also given that n(A-B)=15.

Now according to the definitions above....n(A) should include the ones that belong exclusively to A alone and also the ones in common.

So,

n(A)=n(A-B)+n(A∩B)

       =15+16

       =31

Therefore, n(A) is 31.

Now when n(AUB) is 36 and n(A) is 31, it is clear that the elements exclusive  to B alone is 5, i.e.36-31.  

Now n(B)=n(A∩B)+n(B-A)

Therefore, n(B) is 16+5 = 21.

n(B)=21.

6 0
3 years ago
First-person to answer correctly gets brainiest<br><br> Find an equation for each line.
seropon [69]
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2 years ago
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Ath
jarptica [38.1K]

Answer:

1000

Step-by-step explanation:

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5 0
4 years ago
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AysviL [449]

Answer:  1.25n

=======================================================

Explanation:

Erica sells bracelets for $2 each. If she makes and sells n of them, then she gets 2n dollars of revenue.

Making n bracelets cost her a total of 0.75n dollars because each bracelet costs 0.75 dollars, or 75 cents.

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