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 the greatest common factor for 228/252​

Answers

Answer:

i got 47/88

Step-by-step explanation:

Divide each number by two

Find the odds for and the odds against the event rolling a fair die and getting a 2, a 3, or a 5.

Answers

Answer:

The odds for are 50% and the odds against are 50%.

Step-by-step explanation:

On a die, there is 6 possibilities 2, 3, and 5, are 3 of them.

This means there is a 3/6 chance that it will land on one of those numbers, and there is also a 3/6 chance it will land on 1, 4, or 6.

3/6 is equivalent to 50% and 1/2.

So the odds would be 3/6 for and against. If there are only 6 sides to a die, (1,2,3,4,5,6) and you want to get one of 3 out of the 6, then you have a 50% chance of getting what you want.

Find the range and domain of the following set:

{(-5, -5), (-3, 4), (0, 1), (2, 5)}

Question options:

{(-5, -5), (-3, 4), (0, 1), (2, 5)}


{-5, 1, 4, 5}


{-5, -3, 0, 2}


{-5, 5}

Answers

Answer:

range: {-5, 1, 4, 5}domain: {-5, -3, 0, 2}

Step-by-step explanation:

The range is the set of second numbers of the ordered pairs.

  {-5, 1, 4, 5}

__

The domain is the set of first numbers of the ordered pairs.

  {-5, -3, 0, 2}

__

Additional comment

It is generally convenient to write the elements of a set in sorted order.

Which situation shows a constant rate of change?

A. The outside temperature compared with the time of day

B. The cost of a bunch of grapes compared with its weight

C. The height of a bird over time

D. The number of tickets sold compared with the number of minutes before a football game

Answers

The answer is most likely B. :)

Given sin0= 3/7, and tan0 <0, what is the value of coso?

Answers

sin θ = 3 / 7 = .429

sin^2 θ + cos^2 θ = 1      trig identity

9/49 + cos^2 θ = 1

cos^2 θ = 40 / 49 = .816       cos θ = .903

Check .429^2 + .903^2 = 1

cos .903 = 25.4 deg

In the second quadrant sin = +, cos = -, tan = -

So 25.4 deg in the second quadrant = 180 - 25.4 = 154.6 deg

Check:

sin 154.6 = .428

cos 154.6 = -.903

tan 154.6 = -.475

What is the distance between 10 and 17 on the number line?

Answers

Find the difference:

17 - 10 = 7

So the distance between 10 and 17 is 7 on a number line.

The difference between 10 and 17 on a number line is 7.
17 - 10 = 7
The difference is 7

What word phrase can you use to represent 5x+2

Answers

Answer:

five times a number plus two.

The sum of 423 and 65 is

Answers

Answer:

488

Step-by-step explanation:

HELP PLEASE!!!

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
(-4, 10) 10
(-8,-6)

Answers

The answer is: 7/7

hope this helps :))

The angle of slope of the line between the coordinates (-4, 10) and (-8, -6) is 4.

What is the Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

To find the slope of a line, we use the formula:

slope = (change in y) / (change in x)

We can use the given points (-4, 10) and (-8, -6) to find the slope:

change in y = (-6) - 10 = -16

change in x = (-8) - (-4) = -4

slope = (-16) / 4 = 4

Therefore, the slope of the line passing through the points (-4, 10) and (-8, -6) is 4.

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There are 19 men and 31 women on an airplane. What is the ratio of the number of male passengers to the total number of passengers?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

19/50

Step-by-step explanation:

19 males and 50 people are in total

Answer:

19/50

Step-by-step explanation:

number of men=19

total passengers = 19+31=50

ratio of men to total people's = 19/50

31. What are the perimeter and area
of AXYZ?
Х
5
W
Y
m
12
12
9
greater than
and less than
Z
=
A P= 28; A = 540
B P=42; A = 84
© P= 50; A = 216
DP= 54; A = 57

Answers

Answer:

tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part

Repost* Can someone plz help? :(

Answers

Answer:

2.5

Step-by-step explanation:

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Answer:

2.5

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Step-by-step explanation:

What is the area of 30x40 rectangle in square units?? Will give BRAINLIEST if only correct!!!​

Answers

Answer:

1200 units 30 times 40 is 1200

1200 sq units

hope this helps

How many solutions to a system does the graph below show?

This is not a graph of a system of equations. Infinite Solutions
One Solution
No Solutions​

Answers

Answer: Check explanations

Step-by-step explanation: When lines are parallel, then there are infinite solutions (the answer), if they are intersecting there is only 1 solution, which is the point where the lines intersect, and if they aren't intersecting or parallel, then No solutions.

a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6​

Answers

Answer:    1/3

===================================================

Explanation:

A = multiples of 5 between 1 and 30

A = {5,10,15,20,25,30}

B = multiples of 6 between 1 and 30

B = {6,12,18,24,30}

There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}

The probability we want is 10/30 = 1/3

Morgan says that the absolute value of -8 is greater than the absolute value of 7. Do you agree with Morgan? Explain.

Answers

Answer:

Yes I agree with Morgan

Step-by-step explanation:

The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.

Yes I also agree with Morgan


4. A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use a
ladder to reach a window sill that is 22 ft above the ground. How far from the house
should the base of the ladder be?

Answers

Answer:

5.5 ft

Step-by-step explanation:

because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base

Estimate the area please. will give brainliest.​

Answers

Answer:63

Step-by-step explanation:

Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.

Answers

Answer: there you go

Step-by-step explanation:

Jemma and Debra work as consultants.
They both get hired for a job. Jemma
charges a fee of $15 plus an additional
$22 per hour. Debra charges $20 per
hour. Write an expression that
represents how much money their
employer will have to pay both of them
after x amount of hours.

Answers

Answer:

22x+15=20x

Step-by-step explanation:

Jemma requires 22 dollars per hour, plus a 15 dollar original fee. Debra requires a 20 dollar fee per hour.

Answer:22x+15=20x

Step-by-step explanation:

Are two similar triangles necessarily congruent? Why?​

Answers

if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle

i dont know how to do this stuff
im choosing brainliest

Answers

Answer:

5 - 15 = -10

Step-by-step explanation:

Answer:

5 - 15 = -10

Step-by-step explanation:

If you start with 5 and then subtract 15, you end up at -10.

Margie says the set of numbers, 0. 1, -1, -21 4 , 3, are in order from least to greatest. What is her error? She did not use the correct common denominator. The 3 is in the wrong place. She treated all the numbers as positive. The â€"1 should be the first number on the list.

Answers

Answer:

3 is in the wrong place

Step-by-step explanation:

:)

One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.

The given set of numbers is:

0, 1, -1, -21, 4, 3.

Margie says that the set of numbers above is in order from least to greatest

Kindly note that:

The negative number with the highest magnitude is the lowest

The positive number with the highest magnitude is the highest

Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:

-21, -1, 0, 1, 3, 4

It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative

Learn more here: https://brainly.com/question/25874786

help with math asap!
ty in advance :)

Answers

Answer:

2.108*10^3

Step-by-step explanation:

After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.

Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?

Answers

The value of b that Lois give Clark will be -7

Given the expression 2x + 7 - x = 4x + 2b – 3x - 3b.

First, we need to find the value of b from the expression.

Rearrange;

2x + 7 - x = 4x + 2b – 3x - 3b.

x + 7 = x + 2b - 3b

2b - 3b = 7

-b = 7

b = -7

Substitute b = -7 into the expression and find the value of x;

2x + 7 - x = 4x + 2(-7) – 3x - 3(-7)

x + 7 = 4x - 3x - 14 + 21

x + 7 = x + 7

Since for every x he picks, the left side is always 3 more than the right side, the equation becomes;

x + 7 = x + 3x + 7

x + 7 = 4x + 7

x - 4x = 0

-3x = 0

x = 0

Hence the value of b that Lois give Clark will be -7

Learn more on equations here: https://brainly.com/question/16450098

Someone please help me on both the questions!!!

Answers

Step-by-step explanation:

al nth term:

numerator:

[tex] = {n}^{2} [/tex]

denominator:

[tex] = n + 1[/tex]

so nth term :

[tex] = \frac{ {n}^{2} }{n + 1} [/tex]

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

[tex] {an}^{2} + bn + c[/tex]

[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]

[tex]3(1) + 1 + c = 1[/tex]

[tex]3 + 1 + c = 1[/tex]

[tex]4 + c = 1[/tex]

[tex]c = - 3[/tex]

So Tn:

[tex]3 {n }^{2} + 1n - 3[/tex]

Step-by-step explanation:

a)

it is clearly a sequence of the square numbers over the numbers+1.

1/2 = 1²/(1+1)

4/3 = 2²/(2+1)

9/4 = 3²/(3+1)

16/5 = 4²/(4+1)

so, the nth term would be

n²/(n+1)

b)

an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)

since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :

n = 2

a×2² + b×2 + c = 11 = 4a + 2b + c

n = 3

a×3² + b×3 + c = 27 = 9a + 3b + c

n = 4

a×4² + b×4 + c = 49 = 16a + 4b + c

the first equation gives us

c = 11 - 4a - 2b

when we use this in the second equation, we get

27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11

b = 16 - 5a

now we use both of that in the third equation :

49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =

= 16a + 64 - 20a + 11 - 4a - 32 + 10a =

= 2a + 43

2a = 6

a = 3

b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1

c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3

75% of 32 students are interested in Mathematics. How many are not interested in Mathematics ?

Answers

Answer:

The answer is 8!

Step-by-step explanation:

75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)

75% of 32 students are interested in Mathematics.Therefore, number of students who are interested in Mathematics [tex] = 75\% \: \: of \: \: 32 \\ = \frac{75}{100} \times 32 \\ = \frac{3}{4} \times 32 \\ = 3 \times 8 \\ = 24[/tex]So, number of students interested in Mathematics is 24.Therefore, number of students who are not interested in Mathematics = 32 - 24 = 8So, 8 students are not interested in Mathematics.

Alternative method:

Percentage of students who are interested in Mathematics = 75%Then, percentage of students who are not interested in Mathematics = (100 - 75)% = 25%Therefore, number of students who are not interested in Mathematics [tex] = 25\% \: \: of \: \: 32 \\ = \frac{25}{100} \times 32 \\ = \frac{1}{4} \times 32 \\ = 1 \times 8 \\ = 8[/tex]

Answer:

8

Hope you could get an idea from here.

Doubt clarification - use comment section.

Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?

Answers

Using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Translate the situation into algebraic equations.

Let y = Total cost x = number of sessions

Equation for total cost of the first plan:

y = 41x + 55

Equation for the total cost of the second plan:

y = 46x + 50

To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.

41x + 55 = 46x + 50

Combine like terms together

41x - 46x = - 55 + 50

-5x = -5

x = 1

For a session, both plans will yield the same cost.

The cost 1 session will yield for both:

41x + 55 = 46x + 50

Plug in the value of x

41(1) + 55 = 46(1) + 50

96 = 96

Therefore, using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

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How much will the taxi driver earn if he takes one passenger 4.8 miles in another passenger 7.3 miles explain your process

Answers

Answer:

12.1x+t

Step-by-step explanation:

since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving

What is an equation of the line that passes through the points (3,4) and (-4, -3)?

Answers

Answer:

y=x+1

Step-by-step explanation:

1) Find the slope

m=-3-4/-4-3

m=-7/-7

m=1

2) Use y=mx+c

by using the point (3,4)

4=1(3)+c

4=3+c

c=1

3) The answer

y=x+1

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