HELPPP Provide the missing statements and reasons for the following proof:

Given: Line m is parallel to line n.
Prove: ∠1 is supplementary to ∠2.

HELPPP Provide The Missing Statements And Reasons For The Following Proof:Given: Line M Is Parallel To
HELPPP Provide The Missing Statements And Reasons For The Following Proof:Given: Line M Is Parallel To

Answers

Answer 1

The missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:

S2: ∠2 ≅ ∠3

R2: corresponding angles

S3: m∠2 ≅ m∠3

R3: Definition of congruent angles

R5: Definition of supplementary angles

S7: m∠1 + m∠2 = 180°

S8: ∠1 is supplementary to ∠2

Given the proof to show that ∠1 is supplementary to ∠2, thus:

Since lines m and n are parallel to each other,

∠2 and ∠3 are corresponding angles, so, ∠2 ≅ ∠3 based on the corresponding angles theorem.

Since ∠1 and ∠3 form a linear pair, they are supplementary to each other.

By substitution, we would have m∠1 + m∠2 = 180°.

Therefore, we can conclude that ∠1 is supplementary to ∠2.

In summary, the missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:

S2: ∠2 ≅ ∠3

R2: corresponding angles

S3: m∠2 ≅ m∠3

R3: Definition of congruent angles

R5: Definition of supplementary angles

S7: m∠1 + m∠2 = 180°

S8: ∠1 is supplementary to ∠2

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Related Questions

What is an expression that represents 5 times the value of Y plus 4

Answers

Answer:

5y+4

Step-by-step explanation:

Answer:

2 plus 5 times n

Step-by-step explanation:

Simply using quadratic formula! Brainliest will be awarded if correct

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Answer:

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Step-by-step explanation:

5y + 12 = [tex]\frac{-8}{y}[/tex]

y*(5y+12)=-8

5[tex]y^{2}[/tex] + 12y = -8

5[tex]y^{2}[/tex] + 12y + 8 = 0

Δ(Delta) = [tex]b^{2}[/tex] - 4ac

= [tex]12^{2}[/tex] - 4*5*8

= -16

Δ<0

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y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

PLEASE HELP ME OUT I WILL GIVE BRAINLIEST

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Answers

Answer:

2 cups

Step-by-step explanation:

if she uses 1/2 cup of oil per 1 cup of peanut butter

then she should use the ratio PB(peanut butter)= 2O(oil)

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Step-by-step explanation:

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Answer:

f(x) = (2/3)x-2

Step-by-step explanation:

Pick any two points and calculate the slope.  I chose:  (-3,-4) and (3,0).  The Rise/Run, or slope, is (0-(-4))/(3-(-3) or 4/6:  2/3

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Given y = mx + b

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y = (2/3)x - 2

Option 3

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Answers

Answer:

  24.2% decrease

Step-by-step explanation:

The distance Javi must ride changed by ...

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The ratio of that to the original distance is ...

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The distance decreased by 24.2%.

Plz help rn got to get this done rn

Answers

Answer:

A) 32

Step-by-step explanation:

Hope this helps! Pls give brainliest!

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Answers

Frank paid a total of $304 ($55+249). You multiply $304 by 0.07 to get $21.28 (To convert a number to a percentage, multiply it by 100. So, 0.07 as a percent is equal to 7%). You add this to $304 to get to your answer: $325.28.

The total would be $325.28 if the sunglasses were $249. Hope it helped!

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O A. $27.18
OB. $15.7
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Answers

Answer:

it's d

Step-by-step explanation:

multiply 0.31 by the amount of minutes used (27) and add the flat fee to it.

0.31×27+(0.57)= 8.94

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Answers

If they together at the same rate for the same amount of time, they will solve 48 math problems,

From the question, we can see that two mathletes solve 32 math problems in a certain amount of time, this can be written as:

2 mathletes = 32 math problems

In order to determine the number of problems for 3 mathletes, this is expressed as:

3 mathletes = x

DIvide both expressions:

2/3 = 32/x

Cross multiply

2x = 3* 32

x = 3 * 16

x = 48math problems

Hence if they together at the same rate for the same amount of time, they will solve 48 math problems,

Learn more on proportion here: https://brainly.com/question/1496357

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Answers

Answer:

10/1 or 10

Step-by-step ex planation:

The rate of change is just a fancy word for slope!

To find the slope of this line I found two points of the graph that were easy to determine.  Slope = rise/run

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Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

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Answers

Bacteria.

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Answers

Answer:

$140

Step-by-step explanation:

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Amount of chocolate in one box = 1 1/4 Pounds =  5/4 Pounds

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Total selling price = 80×1.75 = 140

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Answer: $140

Step-by-step explanation:

Convert

1 1/4 --> 1.25

Solve

100/1.25= 80

80*1.75= $140

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Answers

Answer: She did better in the Math test

Step-by-step explanation:

find the ratios of each by saying 14/17 = 0.82 then multiply by 100 to see it from 100 then you will get 82%

Now do the same thing for the other:

31/39 = 0.79 x 100 = 79%

In the end she got better in the math test!

Hope that helps :)

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Answers

The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.

It should be noted that the excess reserves can increase the firm's value and the shareholders value.

Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.

In conclusion, the excess reserves can be used in generating further income for the company.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

23-2=21

21-2=19

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17-2=15

The difference in this pattern is -2. As we can see, each number goes down by two each time.

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Step-by-step explanation:

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Step-by-step explanation:

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315 the answer

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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f(0) = 0² -0+7

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Answers

Answer:

Step-by-step explanation:

Ok, so i cant really awnser all the questions on that page but a very important thing to know is that it is proportinal if the layout is y=mx.   the m is usually replaced with something else though. So for that first question, its proportianal. Try your best to turn those story problems into equations and then see if it matches the y = mx equation if not, its not

Two variables have a proportional relationship if all the ratios of the variables are equivalent.
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