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.
Answers
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 does a fraction represent
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PART B: Uber was also available for Mike to use to get home from the airport. Uber
does not have an initial fee; it charges $3.45 per mile. Which would be a better deal
the taxi or Uber for Mike's trip home?
Answers
Answer:
taxi
Step-by-step explanation:
you would take the taxi because it would cost less than Uber
What function equation is represented by the graph?
Answers
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
The y-intercept of the graph is -2 ( the value of y when x=0).
Given y = mx + b
we have
y = (2/3)x - 2
Option 3
The area of a regular pentagon is 600 cm². Calculate the length of one side of the pentagon.
Answers
Answer:
18.675cm
just search it
working together two mathletes solve 32 math problems in a certain amount of time how many problems will 3 mathletes solve if they together at the same rate for the same amount of time
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 problemsIn order to determine the number of problems for 3 mathletes, this is expressed as:
3 mathletes = xDIvide both expressions:
2/3 = 32/xCross 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,
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You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.
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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need help with this dividing whole numbers thing
Answers
Answer:
72 : n = 18. n x 18 = 72
n : 18 = 72. 72 x 18 = n
72 : 18 = n
Step-by-step explanation:
Using a phone card to make a long distance call costs a flat fee of $0.57 plus $0.31 per minute starting with the first
minute. Find the total cost of a phone call which lasts 27 minutes.
O A. $27.18
OB. $15.7
O C. $8.37
OD. $8.94
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
Write the following equation in standard form:`X^{2}+6X=-2`
Answers
Answer:
[tex]x^2 +6x +2=0[/tex]
Step-by-step explanation:
Karla is reading about a type of single-celled microorganism that can live inside the human body. This type of organism can be either harmful or harmless to people, depending on the type. One harmless type lives in the intestines and helps the body digest food. One harmful type can cause strep throat. Which type of organism is Karla most likely reading about?
Answers
Bacteria is unicellular. Bacteria can either be harmful to the human body or it can do nothing; meaning it can be harmless.
Mrs. Palmer's famous peanut butter cookies call for 1 cup of peanut butter for every
1
2
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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)
so if oil is 1 then PB must be 2 cups
Determine which have two variables that represent a proportional relationship. Explain your reasoning
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
my Christmas present to you
Answers
Answer:
super man
Step-by-step explanation:
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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Answer:
what grade are you??..........
Which of the following sequences of transformations maps \triangle DEF onto \triangle ABC?
Answers
Answer:
D because then triangles DEF and ABC would mapped onto one another.
Step-by-step explanation:
d) Neither
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:
Javi Used to ride his bike 1.65 miles to school his family recently moved and now he only has to ride his bike 1.25 miles to school what is the percent decrease in the distance that javi has to ride to school round to the nearest tenth.
Answers
Answer:
24.2% decrease
Step-by-step explanation:
The distance Javi must ride changed by ...
1.25 -1.65 = -0.40 . . . miles
The ratio of that to the original distance is ...
-0.40/1.65 × 100% ≈ -24.2%
The distance decreased by 24.2%.
100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What is the total selling price for all of the boxes of chocolate?
Answers
Answer:
$140
Step-by-step explanation:
Total Amount of chocolate = 100 Pounds
Amount of chocolate in one box = 1 1/4 Pounds = 5/4 Pounds
Number of boxes = 100/(5/4) = 80 boxes
Cost of one box = $1.75
Total selling price = 80×1.75 = 140
The total selling price for all the boxes of chocolate is $140
Answer: $140
Step-by-step explanation:
Convert
1 1/4 --> 1.25
Solve
100/1.25= 80
80*1.75= $140
What is the surface area of the rectangular prism?
2 m
10 m
5 m
Answers
Answer:
10m
Step-by-step explanation:
Can someone answer this for me 9- 6x -8
Answers
Answer:
Combine like terms
Step-by-step explanation:
-6x + 1
PLEASE HELP ME OUT I WILL GIVE BRAINLIEST
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Answers
Answer:
Answers are B-Y, C-Z, A-X
Given the function f(x) = x2 - x + 7, find each of the following.
f(6)=
f(- 9)=
f(0)
Answers
Answer:
37, 79, 7
Step-by-step explanation:
f(6) = 6² -6 +7
36-6+7 is 37
f(-9) = -9² -9+7
81-9+7 is 79
f(0) = 0² -0+7
0-0+7 is 7
Simply using quadratic formula! Brainliest will be awarded if correct
Answers
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
therefore we have complex number
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]
2. Find the total purchase price. Frank bought a pair of jeans for $55 and some sunglasses
for $249. The tax rate is 7% in the state of Nevada. What is the total cost of Frank's order?
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!
what situation can be represented by this equation 15 + x = 63.75
Answers
315 the answer
15 + x = 63.75
Answer:
63.75 minus 15 equal to 48.75
Can someone plss help me with this!!!
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
which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2
Hope this helps!!
Please tell me if I have messed up!!
I enjoy learning from my mistakes:)
Find the common diffrence
2)23,21,19.17
Answers
Answer:
goes down by 2 ?
Step-by-step explanation:
23-2=21
21-2=19
19-2=17
17-2=15
23 - 2 = 21, our next number!
21 - 2 = 19, etc
Hope this helps!
Rhian sat at a maths test and an English test
In the Maths test she scored 14 out of 17
In the English test she scored 31 out of 39
In which test did she do better
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 :)
What is mL BCD ?
THANK U <3
Answers
m∠BCD= m∠ACB ÷ 2 = 134.76° ÷ 2 = 67.38°
Ok done. Thank to me :>