Mathematics College

Match the justifications for each step in order to prove the Alternate Interior Angles Theorem. Note that lines p and q are parallel. p∥q
∠1≅∠7
∠1≅∠3
∠3≅∠7

Match The Justifications For Each Step In Order To Prove The Alternate Interior Angles Theorem. Note

Answers

Answer 1

Answer:

Option (3)

Step-by-step explanation:

There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.

Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.

Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.

Since, alternate interior angles are equal in measure,

∠2 ≅ ∠6

∠3 ≅ ∠7

Option (3) will be the answer.

Related Questions

Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund. If you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.) 4 months 6 months 10 months 11 months

Answers

Answer:

Answer is wrong

Step-by-step explanation:

Couldn't tell you how to get the answer I just know that when I got this answer wrong it told me the right answer.

In fact, most of the answers for this portion are wrong on here.

10.  $1,201.33

11.  $629.23

12. $7.74

13. $347.51

14. $3,753.78

15. 6

16. $25.24

17. $416.70

18. $2,903.67

19. $22.96

The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below.
24 26 24 27
27 24 29 26
34 30 30 28
23 30 24 19
14 26 26 26
Find the median number of vehicles going through the line in a 15-minute period.
A: 27 vehicles B: 25.85 vehicles C: 30 vehicles D: 26 vehicles

Answers

Answer:

The correct answer is: Option D: 26 vehicles

Step-by-step explanation:

Median is the middle value of a sorted data set.

The formula for median depends on the number of values in the dataset.

First of all we have to arrange the given data in order

So,

14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34

Counting the values in the dataset

n = 20

As the number of values is even, the formula for median will be

[tex]M = \frac{1}{2}(\frac{n}{2}th\ value+(\frac{n}{2}+1)th\ value)[/tex]

Putting the values

[tex]M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)[/tex]

The 10th value in dataset is 26 and 11th is also 26 so

[tex]M = \frac{1}{2}(26+26)\\M = \frac{1}{2}(52)\\M = 26[/tex]

Hence,

The correct answer is: Option D: 26 vehicles

extra poing again happy thanks giving

Answers

Answer:

Thanks for points :)

Step-by-step explanation:

I like ice cream :D

Answer:

TY!! :)

have a great day!

Step-by-step explanation:

Complete the third step to solve the equation,
3 + 2x=-6x + 4
1.
Isolate the variable term on one side:
3 + 8x = 4
2.
Isolate the constant on the other side:
8x = 1
3.
Solve forx:
22
I need help with thissss

Answers

1. 1/8. 2. 1/8. 3. 1/8.

I started swimming at 8am.
12
9
3
6
When I finished swimming, the minute hand of the clock had turned 360°
What time did I finish swimming?

Answers

Answer:

360° will be when the clock has passed an hour, e.g. from 12 to 12. One hour is 60 minutes from 12 to 12, your answer is 9am

The table below shows the U.S. average life expectancy at birth, in years,
in various decades.
Years since
1930
Life
Expectancy at
Birth
10
62.9
68.2
20
69.7
30
70.8
40
73.7
50
75.4
60
77.0
70
80
78.7
Us

Answers

Answer:

the answer is c

Step-by-step explanation:

because all the other ones are wrong besides d and c and I did the math and it was c

Answer:the answer is d

Step-by-step explanation:

6. A music video website received 5.000
comments on a new song they released
The next day, the artist performed the song
on television and an additional 1500
comments were made on the website. What
was the percent of increase? ​

Answers

Answer:

30%

Step-by-step explanation:

To be able to calculate the percent of increase between two numbers, you have to divide the increase by the initial number and multiply by 100:

Increase= 1,500

Initial number=5,000

Percent of increase=(1,500/5,000)*100

Percent of increase=0.3*100

Percent of increase=30%

According to this, the answer is that the percent of increase was 30%.

What is the answer to 3x + 4x - 2x

Answers

Answer:

5x

Step-by-step explanation:

3x + 4x - 2x

7x - 2x

5x

And that's on periodt

Answer:

5x

[tex]3 + 4 - 2[/tex]

[tex]7 - 2[/tex]

[tex]5[/tex]

The speed limit is 35 mph

Which equation represents the statement?

[tex]a. \: s < 35[/tex]
[tex]b. \: s \leqslant 35[/tex]
[tex]c. \: s > 35[/tex]
[tex]d. \: s \geqslant 35[/tex]
​

Answers

Answer:

[tex] b.~~s \le 35 [/tex]

Step-by-step explanation:

The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.

Answer:

[tex] s \le 35 [/tex]

I made a 3.5 hour phone call, it cost $10. How much would 1 hour be?

Answers

Answer:

1 hour would cost $0.35.

Step-by-step explanation:

Divide 3.5 by 10.

Help please
1/4 (8x + 12y +16z)

Answers

Answer:

8+12+164

Step-by-step explanation:

What is the slope of y + 2 = -2(x-3)

Answers

The Answer: -2
Recall that the slope is represented by the letter m in the equation : y=mx+b

Work:

Answer: -2 is the slope of the equation.

Step-by-step explanation:

What implications can you draw based on the coefficient of variation from these two data sets?

Summary statistics for WEIGHT and HEIGHT (both ratio variables) of American adults in different units:

Weight Height

Mean 160 pounds 66 inches

SD 30 pounds 4 inches

You cannot compare these two data sets using a coefficient of variation because they are in different units

A. That both sets of data are equally variable.

B. That the weight data is more variable than the height data.

C. That the height data is more variable than the weight data.

Answers

Answer:

B. That the weight data is more variable than the height data.

Step-by-step explanation:

Given that :

_________ Weight _____ Height

Mean ___ 160 pounds ___ 66 inches

SD _____ 30 pounds ____ 4 inches

The Coefficient of variation is the ratio of the standard deviation and mean of a particular variable.

Weight in pounds :

Standard deviation in pounds / mean in pounds

30 / 160 = 0.1875

Height in inches :

Standard deviation in inches / mean in inches

4 / 66 = 0.060

0.1875 > 0.060

Hence, weight data is more variable than height data.

dult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 73.4 inches tall. (to 2 decimal places)

Answers

Answer:

The z score is 1.57

Step-by-step explanation:

μ = 69.0, σ = 2.8 and x = 73.4

The objective of the problem is to obtain the z-score of a man 73.4 inches tall. The required z score is derived through the following formula "{x - μ / σ}"

z = 73.4 - 69.0 / 2.8

z = 4.4 / 2.8

z = 1.571428571428571

z = 1.57

Thus, the z score is 1.57.

At a garage, 820 cars were given a safety test. if 75% of them passed the safety test, how many cars were rejected?

Answers

Answer:

205 cars were rejected

Step-by-step explanation:

  x                  75

____             ____

820              100

cross multiply

100x=61500

simplify

x=615

820-615

anwer:205

hope it helps!

thanks if you helped​

Answers

Answer:

The slope is 0
The line is a horizontal line
The line has no y-intercept

Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?

Answers

Answer:

30

Step-by-step explanation:

50/100×60

0.5×60=30

30

g(n) = n + 2; Find g(6)

Answers

Answer:

g(6)=8

Step-by-step explanation

they give you that the value of n is 6 so substitute it into the equation and solve. g(6)=6+2

g(6)=8

(GIVING BRAINLIEST!!)

Describe an example of how gravity acts on a falling object and one way an object can overcome gravity.

Answers

Answer:

when you drop a pencil it will fall to the ground when you are in space if you drop a pencil than if will float

Step-by-step explanation:

please help. image below

Answers

the answer is c .............

Solve for x in this equation: 3/4 + l 5-x| = 13/4

There are multiple other questions as well

Answers

1. 3/4
2. im not sure if it means after taking away 3/4, but if it is, its 10/4

x=10/4 and -30/4 i believe, im not too good with fractions, sorry if its wrong :((
Take the constants to the right side of the equation
|5-x|=13/4-3/4
|5-x|=5/2

When you remove the absolute value on the left side, you have to put a plus or minus sign, +- on the right side.

5-x=+-5/2

Solve for the positive equation:
5-x=5/2
-x=-5/2
x=5/2

Solve for the negative equation:
5-x=-5/2
-x=-15/2
x=15/2

Solution: x= 5/2, 15/2

PLEASE HELP ASAP PLEASE An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, the store offers a free bottle of the additive to customers who drive SUV's, who then provide information about their gas mileage on the store website. A customer argues that the type of vehicle could be a confounding variable in this study.

Which statement best describes the effect of the confounding variable?

Because vehicles of different sizes may respond similarly to the additive, it should be easy to conclude whether the additive improves gas mileage.
Because vehicles of different colors may show differences in gas mileage, the additive may improve the gas mileage in some vehicles but not in others.
Because owners of different types of vehicles may choose not to use the additive, those vehicles will not show an improvement in gas mileage.
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

Answers

Answer:

Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

Step-by-step explanation:

Edge 2021

Whether the addition increases gas mileage for all vehicles may be difficult to determine.

What is sample space?

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

The type of vehicle is a confounding variable because it is related to both the independent variable (use of the fuel additive) and the dependent variable (gas mileage), and it could potentially influence the results of the study if not controlled for.

This is because the size of the vehicle, a complicating variable, may alter gas economy independently of the addition, making it challenging to assess the additive's actual impact. As a result, the study's findings might be erroneous or misleading.

Learn more about sample space here:

brainly.com/question/30206035

#SPJ3

which statement and reason are missing in the proof? A=A; reflexive

Answers

Answer:

a i guess there isnt a queston here

Step-by-step explanation:

Answer: hello there! the answer is a. <A ≅ <A; reflexive property, hope this helps :)

Step-by-step explanation: i just completed the unit practice test and got 100%


A number line going from negative 10 to positive 10. A point is at negative 6.
What is the opposite of the graphed integer?

The opposite is .

Answers

the answer is 6

your welcome!

lol

Answer:

6

Step-by-step explanation:

(●'◡'●)

Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , how tall would the stack be ?

Answers

Answer:

26 1/4

Step-by-step explanation:

1 3/4*15=26 1/4

If Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , then 105/4 is the tallness of the stack.

What is Multiplication?

multiplication is a method of finding the product of two or more numbers.

Given,

Davis has 15 quarters

Each quarter is [tex]1\frac{3}{4}[/tex] mm thick.

We need to find the height, If Davis stacked up all 15 quarters on top of each other

This can be achieved by adding  [tex]1\frac{3}{4}[/tex]  for fifteen times or we can use multiplication.

We have to multiply 15 with  [tex]1\frac{3}{4}[/tex] .

Firstly   [tex]1\frac{3}{4}[/tex] is converted to improper fraction.

 [tex]1\frac{3}{4}[/tex] =7/4

Now 7/4×15

=105/4mm

Hence 105/ 4 is the tallness of stack.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ2

Help me please!! I’ll mark as brilliant

Which graph represents the solution set of this inequality?

-11 - 2d >_ 1

Answers

Answer:

letter a is the correct answer

Answer:

Graph C

Step-by-step explanation:

Khan

BTW: its 100% correct

A professional volleyball
team won 28 games and
lost 22. What percent of
their games did they lose?
What fraction represents the
number of games they won?

Answers

Answer: Lost 44%, Games won: 28/50

Step-by-step explanation:

Percentage = (part / whole) * 100

The total number of games the team played is 28 + 22, which equals 50.

Percentage of losses = (22/50) * 100 = 44%

Fraction of wins = 28/50

What does acosd mean?​

Answers

Answer:

Y = acos( X ) returns the Inverse Cosine (cos-1) of the elements of X in radians. The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], acos(X) returns values in the interval [0, π].

Step-by-step explanation:

Write the constant term in 5a3b + 2ab2 + 3.

Answers

Answer:

the answer will be this

which expression is equivalent to the given expression. pls help :)

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\(a^{m})^{n} =a^{mn}[/tex]

[tex]\frac{(4m^{2}n)^{2}}{2m^{5}n}=\frac{4^{2}(m^{2})^{2}n^{2}}{2m^{5}n}\\\\\\=\frac{16m^{4}n^{2}}{2m^{5}n}\\\\\\=\frac{8m^{4}n^{2}}{2m^{5}n}\\\\\\=8m^{(4-5)}n^{(2-1)}\\\\\\=8m^{-1}n[/tex]

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