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defon
3 years ago
12

Please help.find the missing side or angle and each problem . ​

Mathematics
1 answer:
Jlenok [28]3 years ago
4 0
1. 27
2. 55
3. 20
4. 21
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Wittaler [7]

Answer:

Table C)

Step-by-step explanation:

y=-x+3\\x+y=3\\Hence,\\Considering\ Table\ C\,\\Substituting\ x=-3,y=6\\6=3+3\\6=6 (LHS=RHS)\\\\Substituting\ x=0, y=3\\3=3 (LHS=RHS)\\\\Substituting\ x=3, y=0,\\0=-(3)+3\\0=0 (LHS=RHS)

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By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.

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1 year ago
Kaitlyn tony and juan served a total of 71 orders Monday at the school cafeteria. Toney served 9 fewer orders than kaitlin. Juan
morpeh [17]

Answer:

<u>Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Total of orders server at the school cafeteria by Kaitlin, Tony and Juan = 71

Tony served 9 orders fewer than Kaitlin

Juan served 2 times as many orders as Kaitlin

2. How many orders did each one serve?

For answering this question, we should prepare and write down our equation this way:

x = Number of orders served by Kaitlin

2x = Number of order served by Juan ( 2 times as many orders as Kaitlin)

x - 9 = Number of order served by Tony (9 orders fewer than Kaitlin)

x + 2x + x - 9 = 71

4x = 71 + 9

4x = 80

x = 80/4 = 20

x = 20 ⇒ 2x = 40 ⇒ x - 9 = 11

<u>Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.</u>

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