The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram

A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below

A. Both reason 2 and Reason 3 are correct as shown in the table
B. Reason 2 is correct, but Reason 3 should "Alternate interior angles are congruent"
C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct
D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent"

(look at picture to understand better)

The Diagram Below Shows Two Parallel Lines, M And N, Cut By A Transversal, K. Angles A, B, And C Are

Answers

Answer 1

9514 1404 393

Answer:

  B

Step-by-step explanation:

Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.

The applicable description is found in choice B.


Related Questions

i bought a new comic book at the comic book shoppe and paid enitrely using quarters. If I had paid using only dimes i would have needed to pay 9 more coins. how much did the comic book cost

Answers

The comic book cost $1.50.

A quarter is worth .25 cents while a dime is worth .10 cents. This means 9 more coins would be .90 cents since each coin is worth .10 cents.

The difference between $1.50 and .60 cents is .90 cents.

25 x 6 = 150  while  10 x 6 = 60  :  150 - 60 = 90

Hope this helps!!

It takes 6 fruit pickers 18 hours to pick a field of fruit. How long would it take 8 fruit pickers to pick the same field.​

Answers

So I believe it is 13.5 hours because you need to multiply 6 and 18, and the total of that should be divided by 8

Time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.

What is time?

" Time is defined as the continues process which help us to measure the period/ length of occurring of event. It does not have any dimensions."

According to the question,

Time take by [tex]6[/tex] fruit pickers to pick the fruit from the field [tex]= 18[/tex]hours

As per the given situation we have,

Time taken by[tex]8[/tex] fruit pickers to pick the fruits of the same field

[tex]=\frac{(6)(18)}{8}[/tex]

[tex]=13.5[/tex]hours

Hence, time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.

Learn more about time here

https://brainly.com/question/15356513

#SPJ3

Abcd is a parallelogram determine the length of BE
A)51 units
B)102 units
C)96 units
D) -11 units

Answers

Answer:

  B)  102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. This means ...

  BE = ED

  3 -9x = -8x +14

  -11 = x . . . . . . . . . . . . add 9x -14

  BE = 3 -9x = 3 -9(-11) = 3 +99

  BE = 102 units

Can someone put an answer for each box plzzzz.

Answers

we need the drop down options..

I will give Brainliesttttt :D!

A car's gas mileage is the distance it can go using 1 gallon of gas (measured in miles per gallon).

Based on the graph, what is this car's gas mileage? Explain.​

Answers

Answer:

20 mpg

Step-by-step explanation:

Answer:

The car is traveling 20 miles per gallon.

Step-by-step explanation:

There are two ways you can solve this.

1) Since this is a graph of the car's gas mileage, all you have to do is look to find the miles for one gallon, which is plotted in this case. As you can see, for one, it is plotted halfway between 0 and 40, so that means the mile number would be 20. Looking at this, the car travels 20 miles per gallon.

2) You can also look at the point at the top that is clearly defined, and the point is (12, 240), 12 gallons used for 240 miles. To get the exact number of miles for one mile, you would divide 12 and 240 both by 12, which results in (1, 20). Since it is miles per gallon, the car gas mileage is 20 miles per gallon.

Hope this helped and have a great day!

Alyssa is baking a cake the recipe calls for 8 cups of flour she already put in 2 cups how many more cups does she need to add

Answers

You need 6 cups hope that helps

Write the equation (y=mx+b) that represents the relationship show on the graph.

Answers

Answer:

y= 3x + 4

Step-by-step explanation:

yeah-ya....... right?

Can you help me solve this please.

Answers

Answer:

23

Step-by-step explanation:

First, divide the figure into a large rectangle (2 * 5), a small rectangle (3 * 2), and a quarter circle with a radius of 3. Adding the areas of the 3 shapes together we get 10 + 6 + 7 = 23.

[LARGE RECTANGLE]

A = w * l = 2 * 5 = 10 ([tex]units^{2}[/tex])

[SMALLER TRIANGLE]

A = w * l = 3 * 2 = 6 ([tex]units^{2}[/tex])

[QUARTER CIRCLE]

A * [tex]\frac{1}{4}[/tex] = πr² * [tex]\frac{1}{4}[/tex] = 3 * 3 * π * [tex]\frac{1}{4}[/tex]  = 7 ([tex]units^{2}[/tex])

One card is selected at random from a deck of card. Determine the probability that card selected is not a 7( simplify your answer)​

Answers

Answer:

P(~7) = 12/13

Step-by-step explanation:

There are 4 sevens in a normal deck of cards.

Therefore there are 48 cards out of 52 that are not 7.

P(~7) = 48/52 simplified, it is 12/13

see image above ^^^^​

Answers

Triangle ABC was rotated 90 degrees counter clockwise to become triangle STU

2(x + 1) - 3x
howwwwwww

Answers

Answer:

a = -x + 2

Step-by-step explanation:

First, you must distribute to get 2x + 2 and adding in the -3x it equals 2x + 2 - 3x = a

Combine the like terms to get -x + 2 = a

Since there is 2 variables then the answer will stay a = -x + 2 because x or a must be substituted in order to find the other variable

Ze answer is -x + 2 my dude

The owner of a bookstore buys used books from customers for one dollar and 50 Cent each owner then resells the used books for 400% of the amount he paid for them what is the price of a used book in the bookstore?

Answers

seeing as $1.50 would be 100% of the price a 400% mark up would cause you to multiply 100% of the cost($1.50) by 4 giving you $6
1.50 x 4 = 6

Review

Directions: What does each of the following mean? Write out in words and phrases.

Example: 7 - 12 means: seven minus twelve

1. 11 + t

2. 7rst

3. t - 17

4. (10)(n)

5. 15 * y

6. 4x

7. a + b

8. 14x + 3y

Answers

Answer:

1. Eleven plus t

2. 7 times r times s time t

3. t minus seven

4. ten times n

5. fifteen times y

6. four times x

7. a plus b

8. fourteen times x plus 3 times y

Step-by-step explanation:

Hope this helps!

Answer:

1, eleven plus t

2, seven rst

3,t-17

........................

is this linear or not and why

Answers

Answer:

Yes

Step-by-step explanation:

Both equations of this system are of degree one.

They are both linear as the graph of both is a line.

Answer:

yes

Step-by-step explanation:

The highest power of variable is 1 . So it is a linear equation of two variables .

Is 5.12 times 10n =512

Answers

Answer:

it is D

Step-by-step explanation:

I have to show you, but if I do it don't on the paper

The answer is D, the variables could be replaced with a five to make the statement true

I went to many other places, I saw their answers and turns out the only answer I searched up was wrong!

Answers

Answer:

I understand how that feels

Step-by-step explanation:

tammy has soccer practice every 12 days, basketball 18 days, band practice 20 days, and music class every 24 days. If she has all these practices on the same day today, then how many days will it be until she has all four practices.

Answers

Answer:

360 days

Step-by-step explanation:

It would be a whole year until the classes line up on the same day again, because it would only be the exact same date of the next year that they line up.

Hope this helps!

What is 34÷18? Explain or show your reasoning.

Answers

Answer:

1.8889

Step-by-step explanation:

Ln(x)+ln(x+7)=1
solve this log equation

Answers

7n-1/1+n this should be it

Robert earns $498.00 for 40 hours of work. How much does he earn if works 30 hours at the same pay rate? Do not round your answer.

Answers

Answer:$373.50

Step-by-step explanation:

$498.00 divided by 40 is 12.45

12.45 times 30 is $373.50

You need to divide 498 on 40 hours so you could know how much he earn every hour

The temperature in antartica is 20 degrees below freezing at night. During the day, the temperature increases
by 30 degrees. What is the daytime temperature?

Answers

Answer:

42

Step-by-step explanation:










y=−2x−5
y=2x−2

Answers

Answer:

This doesn't make since.

Step-by-step explanation:

Is 0.225 a rational number?

Answers

Answer:

Maybe

Step-by-step explanation:

maybe

Answer:

yes because it can be written as a fraction 225/1000

Dan received 64 dollars for his birthday. He went to a sporting goods store
and bought a baseball glove, baseball, and bat. He had 31 dollars left over,
how much did he spent on the baseball gear?

Answers

Answer:

the answer is 33 bucks because you have subtract the 64 -31 =33

He started with a total of $64 and $31 remained after his expenses.

We can create an Algebraic equation to represent the scenario. The variable “x” is equal to how much of his birthday money he spent.

64-x=31 [Equation]

64-64-x=31-64 [Subtract 64 from both sides to cancel it out and isolate x]

-x=-33 [Simplification after subtraction]

-x/-1=-33/-1 [Divide by -1 on both sides to cancel it out and solve for x]

x=33 [Defined Variable]

*Recall that “x” is equal to his expenses.

Therefore, Dan spent $33 of his $64.

We can check this because 64-33=31.

Please give Brainliest

Please lots of points I wasn’t at school when this was taught

Answers

Answer:

4x+2=4x+4, no solution

Step-by-step explanation:

first, i'm assuming the flower bed is a square so that all 4 sides are x+1. next, to find the perimeter you have to add up the side lengths of each shape.

vegetables: x + x+1 + x + x+1 = 4x+2 so the perimeter of the vegetables must be 4x+2

flowers: x+1 + x+1 + x+1 + x+1 = 4x+4

since the two must be equal, we have 4x+2=4x+4, this is the equation Trent can use

next, to solve the equation, subtract 4x from both sides to get 2=4. this obviously isn't true so there is no solution

NEED ASAP

in a company, 65% of workers are men. if 1,995 people work for the company who aren’t men, how many worker are their in all.

Answers

Answer:

5700

Step-by-step explanation:

Assume that the total number of people working for the company is x. Since 65% of workers are men and 1,995 people working for the working are not men, then that means that 35% of the total number of people working for the company is equal 1,995.

Set up an equation: 0.35x = 1,995 and find x.

x = 5700

what has a fraction in numerator, denominator or both???

Answers

a fraction that has a numerator and a denominator, is called a Complex fraction, i’m not sure if this is what you were asking for though.

6=4x^3-10x^2 please hurry it's a test

Answers

Answer:

x = about 2.705

Step-by-step explanation:

Does this help? Are you supposed to find x? That's what I did but you don't state what exactly you need.... So.....?

Solve the equation: q –10 = -10

Answers

Answer:

No solution

Step-by-step explanation:

The co-efficient, in this case the - 10s, cancel each other out, leaving just q

I need help on this
Here it is

Answers

Solution:

2. Barlow School: (4 / 9) * 873 = 388 of the students are boys.

873-388 = 485 of the students are girls.

The b(boy) to g(girl) ratio at Barlow School is 388b:485g


1. Willow School: (2 / 3) * 630 = 420 of the students are girls.

630-420 = 210 of the students are boys.

The b(boy) to g(girl) ratio at Willow School is 420g:210b

3. 388 - 210 = 178


Answer: Barlow School has the greater number of boys by 178 students.
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