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Greeley [361]
3 years ago
10

Based on the given segment lengths, determine whether the segments can form a triangle.

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

For 3 sides to form a triangle two sides added together need to be greater then the 3rd side. You need to check all 3 combinations:

1. 11.5 + 10.5 = 22, 22> 6.1

11.5 + 6.1 = 17.6 17.6 > 10.5

10.5 + 6.1 = 16.6, 16.6 > 11.5

This one can make a triangle.

2. 9.5 + 3.5 > 4.5

9.5 + 4.5 > 3.5

4.5 + 3.5 < 9.5

Cannot make a triangle.

3. 8 + 6.7 > 1

6.7 + 1 < 8

Cannot make a triangle.

4. Can make a triangle

5. Can

6. Can

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Regal theater in Tikahtnu sold 548 tickets to Moana on Sunday. A adult’s ticket was $6.50 while a child’s ticket was $3.50. In t
irga5000 [103]

Regal theater sold 321 adult tickets and 227 children tickets.

Step-by-step explanation:

Given,

Cost of each adult ticket = $6.50

Cost of each child's ticket = $3.50

Total tickets sold = 548

Total worth of sold tickets = $2881

Let,

x represent the number of adult tickets sold

y represent the number of child tickets sold

According to given statement;

x+y=548             Eqn 1

6.50x+3.50y=2881    Eqn 2

Multiplying Eqn 1 by 6.50

6.50(x+y=548)\\6.50x+6.50y=3562\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(6.50x+6.50y)-(6.50x-3.50y)=3562-2881\\6.50x+6.50y-6.50x-3.50y=681\\3y=681

Dividing both sides by 3

\frac{3y}{3}=\frac{681}{3}\\y=227

Putting y=227 in Eqn 1

x+227=548\\x=548-227\\x=321

Regal theater sold 321 adult tickets and 227 children tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1289682
  • brainly.com/question/12932203

#LearnwithBrainly

6 0
3 years ago
7n2 + 8n − 12
12345 [234]
<span>7n^2 + 8n − 12
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cause
</span>(7n - 6)(n + 2)
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answer
<span>D) (7n − 6)(n + 2)</span>
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