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MAXImum [283]
3 years ago
10

How do you prove that angles are parallel?

Mathematics
2 answers:
3241004551 [841]3 years ago
7 0

Answer:#1

if corresponding angles are congruent


#2

if alternate interior angles are congruent


#3

if consecutive, or same side, interior angles are supplementary


#4

if two lines are parallel to the same line


#5

if two lines are perpendicular to the same line


#6

if alternate exterior angles are congruent




olasank [31]3 years ago
7 0
They alone in a perfect looking manner
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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

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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

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