Which reason justifies statement 2?

A) Vertical angles are congruent

B) Corresponding angles are congruent

C) Alternate interior angles are congruent

D) Alternate exterior angles are congruent

Which Reason Justifies Statement 2?A) Vertical Angles Are Congruent B) Corresponding Angles Are Congruent

Answers

Answer 1

Answer:

C. Alternate interior angles are congruent

Step-by-step explanation:

<Y and <4 are two alternate angles within the two parallel lines cut across by the transversal, hence, they are called alternate interior angles.

Alternate interior angles are always congruent to each other. Therefore, the reason that justifies statement two: "<Y ≅ <4", is "Alternate interior angles are congruent".


Related Questions

Dillon is packing equal quantities of pretzels and crackers for snacks. Dillon bags the pretzels in groups of 5 and the crackers in groups of 11. What is the smallest number of crackers that he can pack?

Answers

He can pack 2. In each group with 1 left over

which is greater [-3.25] or [4.25]​

Answers

which is greater [-3.25] or [4.25]

Answer:

4.25

Step-by-step explanation:

The number is bigger in absolute form

how do i work this out.
write 600 as the product of prime factors. Give your answer in index form

Answers

You can do it as 2•2•2•3•5•5 or you can do 2 to the third power, times three to the first power, times five to the second power.

Two pounds of cashews costs $19. Which table best represents y, the total cost of the cashew for x pounds?

Answers

Answer:
I believe the answer is A.

Explanation:
If you divide 19 by 2 to get the cost of each pound, you will get $9.5 per pound.
Multiply that by three and it will give you $28.50.
The only graph with $28.50 on it is the first one! Therefore, it is A!

You do the same thing with the 5 and 8. Just take those numbers and multiply them by 9.5.

Hope this helped! :)

Four more than three times a number is thirteen

Answers

Answer:

3x+4=13

Step-by-step explanation:


Please help me ! Today 11/6/2020 :(

Answers

i believe the answer is c, TSR

Does anybody have any tips for calculating slopes in Algebra 1???

Answers

Answer:

The equations are really hard, so if you can find a slope interpreter or something that might be helpful.

I find it easier to just count the up and across.

Step-by-step explanation:

Rochelle received a $15 gift card to an online music store. She downloaded 12 songs that each cost the same price. After the gift card was applied, her total was $8.88. Which equation can be used to find , the price of each song?

Answers

Answer:

15 + 18.88 ÷ 12 = p

if p were price of each song

p= 1.99

A tank contains 5,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate of 50 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y = ___________kg (b) How much salt is in the tank after 20 minutes? () y = ________ kg

Answers

Answer:

a

  [tex]y(t) = 11e^{-\frac{t}{100} }[/tex]

b

  [tex]y(20) = 9 \ kg[/tex]

Step-by-step explanation:

From the question we are told that  

    The volume of brine in the tank is  [tex]V_L = 5000 \ L[/tex]

     The mass of the salt is [tex]y(0)= 11 \ kg[/tex]

     The rate at which water enters that tank is [tex]\r V = 50 \ L / min[/tex]

Generally the rate at which salt enters the tank is mathematically represented as

           [tex]z = \frac{0}{V_L} * \r V[/tex]

=>        [tex]z = \frac{0}{5000} * 50[/tex]

Here the zero implies that there is no salt entering the tank

Generally the rate at which salt leaves  the tank is mathematically represented as

           [tex]u = \frac{y(t)}{V_L} * \r V[/tex]

=>        [tex]u = \frac{y(t)}{5000} * 50[/tex]        

=>        [tex]u = \frac{y(t)}{100}[/tex]

Generally the rate of salt flow in and out of the tank is              

       [tex]\frac{dy}{dt} = z - u[/tex]

=>    [tex]\frac{dy}{dt} = - \frac{y(t)}{100}[/tex]

=>    [tex]\frac{dy}{y} = -\frac{dt}{100}[/tex]

=>    [tex]ln(y(t)) = -\frac{t}{100} + c[/tex]

at time  t = 0  y(0) =  11

=>  [tex]ln(11) = -\frac{0}{100} + c[/tex]

=>   [tex]c = ln (11)[/tex]

So

    [tex]ln(y(t)) = -\frac{t}{100} + ln (11)[/tex]

taking exponent of both sides

    [tex]y(t)=e^{ -\frac{t}{100} + ln (11)}[/tex]

=>  [tex]y(t) = e^{-\frac{t}{100} } * e^{ln(11)}[/tex]

=>  [tex]y(t) = 11e^{-\frac{t}{100} }[/tex]

Generally at t = 20 minutes

 The amount of salt in the tank is mathematically represented as

         [tex]y(20) = 11e^{-\frac{20 }{100} }[/tex]

=>      [tex]y(20) = 9 \ kg[/tex]

 

 

Solve: 3 – 8x = -13 need help plzzzzzzz

Answers

Answer:

3 – 8x = -13

-8x = -13-3

-8x = -16

x = 2

I wil I give the BRAINIEST!
Please explain :)

What is the best description of the relation? ​

Answers

I believe it is a function that is one to one. Hope that helped!

What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17

Answers

Answer:

[tex]3x^{3}+3x^{2}-11x+3[/tex]

Step-by-step explanation:

f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]

To make this equation a little less long, we combine like terms

[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]

or just

[tex]3x^{3}+3x^{2}-11x+3[/tex]

The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.
A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?
B. What is the probability that the sample mean income is between 41 and 45?
C) Find the 80th percentile of the sample mean.
D) Would it be unusual for the sample mean to be less than 38?
E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.

Answers

Answer:

Step-by-step explanation:

The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.

A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?

B. What is the probability that the sample mean income is between 41 and 45?

C) Find the 80th percentile of the sample mean.

D) Would it be unusual for the sample mean to be less than 38?

E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.

Explain how multiplying fractions and dividing fractions are alike and how they are different. ​

Answers

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Step-by-step explanation:

Example:

[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]

A group of friends were working on a student film. They spent $712 on costumes, which was 89% of their total budget. What was the total budget for their student film?

Answers

Answer:

800

Step-by-step explanation:

you divide 712 by .89

Which step will get you closest to the solution of this equation?
5.2 – 2)=7
(Imagine math)

Answers

Answer:

I'm pretty sure it's the to right one

Step-by-step explanation:

5x-10=7 because you have to distribute the left side

The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 25 seconds with an average speed of 6 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.

Answers

9514 1404 393

Answer:

  3 feet per second

Step-by-step explanation:

If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.

  (1/2)(6 ft/s) = 3 ft/s

The swimmer's average speed is 3 ft/s.

What do you call a female bug that floats?

Answers

Answer:

A buoyant girl ant

Step-by-step explanation:

A um gashsvwhqjqkqjqbwbqbqhwuwbw

4/6 + 1/3 please help i need to get my grade up qwq

Answers

Answer:  1

Explanation:

1/3 is the same as 2/6

Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.

Therefore 4/6 + 1/3 is the same as 4/6 + 2/6

At this point, we add the numerators over the common denominator

4/6 + 2/6 = (4+2)/6 = 6/6 = 1

Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.

What is an equation of the line that passes through the point (8,0) and is parallel to
the line 2 -4y = 20

The topic of this is parallel and perpendicular through points!!

Answers

Answer:

i think y=0

Step-by-step explanation:

Grade 10 Math, I need help fast!
Given the function f(x) = 2x. What is the value of f(-3)?
A. -6
B. 8
C. -8
D. 1/8

Answers

f(x)=2x

f(-3)=2(-3)

f(-3)=-6

Answer:

A. -6

Step-by-step explanation:

Just plug in -3 to where x is.

10, 9, 11, 8, 15, 18, 13
1. Calculate the mean, median, and mode. Round to the nearest tenth.

Answers

Answer:

Median: 11

Mean: 12

Mode: none

Step-by-step explanation:

M A T H W A Y helps

Mode is something that is repeated multiple times

so

Answer:

Median- 11

Mean-12

Mode-none

Step-by-step explanation:First step: Put the numbers in order 8,9,10,11,13,15,18

The median is the middle number  so that would be 11

Median-11

Mode is the most repeated number as you can see there is none

Mode- none

Mean is the average of all the numbers so first you add them all together and divide it by 7 because there are 7 numbers in total.

Mean- 12

Paul and Seth know that one point on a line is (4,2) and the slope of the line is -5. Each student wrote a different equation relating x and y . Do the two equations represent the same line ? Construct a mathematical argument to support your answer .

Answers

Answer:

Step-by-step explanation:

Paul's equation,

Since the given line is passing through a point (4, 2) and slope = -5,

y = mx + b

2 = -5(4) + b

2 = -20 + b

b = 22

Therefore, equation of the line will be,

y = -5x + 22

Seth equation,

Slope of a line passing through two points (x, y) and (4, 2),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

-5 = [tex]\frac{y-2}{x-4}[/tex]

-5(x - 4) = y - 2

-5x + 20 = y - 2

y = -5x + 22

Therefore, both the equations represent the same line.

The school administration decided that four grade levels of students (K–3) will share donated funds according to the proportion of students that are in each grade. There are twice as many students in third grade as there are in second grade. There are 5 more students in first grade than there are in second grade. The number of students in kindergarten is 15 more than in first grade. There are 365 students in the K–3 grades at the school.

(A) How many students are in each grade?

(B) What fraction of the money should each grade get?

Answers

Answer:

kindergarten = 88

first = 73

second = 68

third = 88

Step-by-step explanation:

365=k+f+s+t

2s=t

s+5=f

f+15=k

USE SUBSTITUTION

365=((s+5)+15) + (s+5) + s + (2s)

365=5s+25

-25     -25

340=5s

/5      /5

68=s

PLUG IN

t=2(68)=136

f=(68)+5=73

k=(73)+15=88

CHECK

68+136+73+88=365

so i just learned multiplying negative number and i have to put them on a number line pls help
here is the Qustion
-2 x 5 =
please explain

Answers

Answer:

-10

Step-by-step explanation:

Alright, let me explain negative multiplcation.

A negative number multiplied by another negative number becomes a positive number.  But a negative number multiplied by a positive number is still negative. Every pair of 2 negatives become positive. This is important. Make sure to remember that.

That's it! If you need more help then reach out to your teacher. I'm sure that they will be more than happy to help!

Hope this helped!  :)

Answer:

the awnswer is -10

Step-by-step explanation:

Remember a negative times a negative is the only time the answer will be positive. When a negative is multiplied by a positive it will always be negative.

ex:

-2 x 5

since this is a negative and a positive the answer will be negative. knowing that just multiply 2x5=10 then add the negative -10.

Find the measure of angle LMN
please help me!!

Answers

Its 125
It cant be 25 or 29 because the angle is clearly obtuse
And
Angle MPQ is the same as LMN
If you take 125 and subtract 50 from it (because you need to add 50 to 3x) you get 75
After that you need to divide 75 by 3 because 3 is multiplied by x
You should get 25
Therefore X=25
If X=25 then 5x is 125

You are in charge of food shopping for a party. You need to buy snacks and soda. A bag of snacks costs $2 and a pack of soda $3.5. If your mom gives you $25 to buy groceries and you buy 8 bags of snacks, how many packs of soda can you buy?

Answers

Answer:

2 bags

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

2x8=16

25-16=9

3.5+3.5=7

200 divided by 5.50 is what because if one hour is 5.50 and you need 200 how many hours do you work

Answers

Answer:

if you divided 200 by 5.50 the answer will be 36.3636363636

How do you say 9.876?

Answers

Answer:

nine point eight hundred seventy six....hope u got, babes...

nine and eight hundred seventy-six thousandths. or, simpler: nine point eight hundred seventy-six. or, even simpler: nine point eight seven six.

Help!!I will give BRAINLIEST

Answers

Answer:

3.125

Step-by-step explanation:

Hope this helps!! :)

Answer:

3.05

Step-by-step explanation:

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