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Studentka2010 [4]
2 years ago
11

Drag the tiles to the correct boxes to complete the reasoning of the proof. Not all tiles will be used.

Mathematics
1 answer:
Dimas [21]2 years ago
4 0

The missing reasons for each of the given statements are respectively;

1) Substitution

2) Definition of a Straight angle because a straight angle is 180°.

3) Congruent Angles have equal measures

<h3>How to prove angles in a triangle?</h3>

We are given that;

m∠1 = 90°

m∠1 + m∠2 = m∠5

∠3 ≅ ∠4

Statement 1; 90° + m∠2 + m∠4 = 180°

Reason 1; Substitution

Statement 2; m∠1 + m∠2 + m∠3 = 180°

Reason 2; Definition of a Straight angle because a straight angle is 180°.

Statement 3; m∠3 = m∠4

Reason 3; Congruent Angles have equal measures

Thus, the missing reasons for each of the given statements are respectively;

1) Substitution

2) Definition of a Straight angle because a straight angle is 180°.

3) Congruent Angles have equal measures

Read more about angles in a triangle at; brainly.com/question/12852445

#SPJ1

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Answer:

12, 16, 20

Step-by-step explanation:

For this question the answer will be 12, 16 and 20.

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Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 99. 
8090 [49]

Answer:

An adult ticket is 17

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Step-by-step explanation:

Let a = adult price

c = child price

3a + 4c = 99

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2(3a + 4c) = 99*2

6a + 8c = 198

Multiply the second equation by -3

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-6a -9c = -210

Add these new equations together

6a + 8c = 198

-6a -9c = -210

----------------------

     -c = -12

Multiply by -1

        c = 12

A childs ticket costs 12 dollars

Now we need to find the price of an adult ticket

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2a + 3(12) = 70

2a +36 = 70

Subtract 36 from each side

2a +36-36 =70-36

2a = 34

Divide by 2

2a/2 = 34/2

a = 17

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7 0
3 years ago
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Serga [27]

Answer:

$200,000

Step-by-step explanation:

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600,000÷3=200,000

So $200,000

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