Mathematics College

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Answers

Answer 1

Answer:

<EFC and <DCF

Step-by-step explanation:

Alternate interior angles: Angles that are inside the parallel lines and are opposite from each other

<DCA and <DCF are supplementary angles meaning they add up to 180 degrees.

<EFH and <GFC are vertical angles and both angles are not inside the parallel lines.

<BCF and <GFH are not alternate interior angles because both the angles aren't inside the parallel lines.

<EFC and <DCF are alternate interior angles because they are on opposite sides of the transversal and inside the parallel lines.

Related Questions

John took all his money from his savings account. He spent $108 on a radio and 5/9 of what was left on presents for his friends. Of the money remaining, John put 5/6 into a checking account and the last remaining $80 was left to charity. How much money did John originally have in his savings account?

Answers

Answer:

I believe its 313$

Step-by-step explanation:

John originally have $1,118 in his savings account.

Here,

We have to find the original savings account of John.

What is Number system?

A system of writing to express numbers is called Number system.

Now,

Let us assume amount of money John originally have in his savings account = $x

Money spent on a radio = $108

Remaining money = x - 108

Money spent on presents for his friends = Two third of remaining money = 5/9 (x - 108).

(Because 1 - 5/9 = 1/1 - 5/9 = 4/9)

Remaining money = 4/9 (x - 108).

Five sixth of his remaining money into a checking account = 5/6 * 4/9(x - 108)

( because 1 - 5/6 = 1/1 -5/6 = 1/6)

Remaining money = 1/6 *4/9 (x - 108).

Final remaining money = 1/6 *4/9 (x - 108)

And that is equal to the money donated to charity.

We can setup an equation now.

1/6 *4/9 (x - 108) = 80

4(x - 108) = 80 * 9 *6

x - 108 = 20 * 54

x = 1080 + 108

x = 1,188

Therefore, John originally have $1,118 in his savings account.

Learn more about the number system visit:

https://brainly.com/question/17611657

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Can a triangle be made using the side lengths of 5, 10, 2?

a
Yes
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measures more than the longest side.

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Answer:

The answer is C. No, the sum of...

PLEASE HELP ITS DUE TODYA PLEASE HELP!!!!!!!

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Answer:

AC = 7.8 cm

Step-by-step explanation:

AE² = 6² - 3² = 36 - 9 = 27

AE = √27 = 5.196

EC² = 4²- 3² = 16 - 9 = 7

EC = √7 = 2.646

AC = 5.196 + 2.646 = 7.84 cm

same thing as last. nearest 100th

Answers

Answer:

452.39 mi^2

Step-by-step explanation:

A = πr^2

A = π (12mi)^2

A = 452.39 mi^2

Please mark Brainliest :D

Help please due in 45 minutes!!

Answers

Answer:

x=4, y=5

Step-by-step explanation:

Download photo math and take a picture of it

A Packaging Company produces boxes out of cardboard and has a specified weight of 16 oz. A random sample of 36 boxes yielded a sample mean of 15.3 oz. Given the standard deviation is 1.7 oz, obtain a 99% confidence interval for the true mean weight of the boxes. Interpret your results in the context of the problem. State the margin of error.

Answers

Answer:

The margin of error is of 0.73 oz.

The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{1.7}{\sqrt{36}} = 0.73[/tex]

The margin of error is of 0.73 oz.

The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.

The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.

An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

Answers

Answer:

it takes 3 hour

Step-by-step explanation:

ypir welcome

Mr. Newman owns a sporting good store. He got a shipment of 49 baseball bats. 21 of them were wooden bats, and the rest were aluminum. What fraction of the bats were wooden?
Fill in the answer in simplest form.

Answers

Answer:

3/7

Step-by-step explanation:

PLEASE HELP IMMEDIATELY!!

Answers

Answer:

}

Step-by-step e.xplanati:kljkjk

what is the distance between the points (-7,3) and (4,-5)

Answers

Answer:

The distance is 185 between the points (-7,3) and (4,-5)

Step-by-step explanation:

Answer:

Hi! The answer to your question is [tex]\sqrt{185}[/tex]

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

What is the measure of DEF

Answers

The calculated measure of the arc DEF is 204 degrees

Calculating the measure of arc DEF

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of the arc intercepted by the angle DEF is calculated as

Arc DF = 2 * DEF

When the given values are substituted in the above equation, we have the following equation

Arc DF = 2 * 78

So, we have

Arc DF = 156

The measure of arc DEF is then calculated as

Arc DEF = 360 - 156

Evaluate

Arc DEF = 204

Hence, the measure of the arc DEF is 204 degrees

Answers

Answer:

One sample t test

Step-by-step explanation:

A one proportion sample t test is employed when we intend to test the sample mean of a certain sample against a particular or specified population property . In the scenario above, we could use the information given to obtain the one sample proportion test statistic by using the formular :

Test statistic = (xbar - μ) ÷ (σ/sqrt(n))

Where, xbar = sample mean ;

μ = population mean

σ = population standard deviation

n = sample size

Using the test statistic, we can then obtain the Pvalue and compare to the specified α - level

Country A has an exponential growth rate of 4.6% per year. The population is currently 5,849,000, and the land area of Country A is 38,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?

Answers

There will be one person per square yard when the number of people is equal to the number of square yards of the country.
In other words, we need to know when the population of the country will be 27,000,000,000.
We know that the population grows exponentially, so we use the exponential growth formula:

Where:
P is the population as a function of time
is the initial population
r is the annual growth rate
t is time in year.
The information we have allows us to conclude that:

So the exponential growth equation is:

We want to know when P = 27, 000,000,000.
So:

Now we solve for t, and as soon as we answer for t, the answer will be 189.66 years. Hope this helps! Mark brainly please!

Answer:

195.205998 years

Step-by-step explanation:

P=P0(1.046)^t P=future population P0=initial population t=years passed

38,000,000,000 = 5,849,000(1.046)^t

1.046^t = 38,000,000,000/5,849,000

1.046^t = 38,000,000/5,849

plug in log on both sides

log 1.046^t = log (38,000,000/5,849)

t[log 1.046] = log (38,000,000/5,849)

t = In (38,000,000/5,849)/ In 1.046

t ≈ 195.205998 (hope this helps)

A television screen is 7 inches tall and 10 inches wide. What is its area?

Answers

Answer:

70 inches^2

Step-by-step explanation:

7x10=70

for the function f(x)=4/3x+8, what is the average rate of change over any given interval

a. 4
b. 3
c. 4/3
d. 3/4

Answers

Answer:

C i think i hope it helps

have a good night

Please help me thanks!

Answers

Answer:

3rd Option

[tex] \frac{6}{17} [/tex]

Step-by-step explanation:

Given,

No. of blue marbles = 6

No. of green marbles = 6

No. of red marbles = 5

So,

Total no. of marbles = 6+6+5 = 17

Therefore,

Probability of not getting blue marbles

[tex] = \frac{6}{17} [/tex]

Hence,

3rd option is correct.

How to simplify this expression?

(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)

Express the answer as 12^?.

Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.

Thanks!!

Answers

Answer:

[tex]12^-^2[/tex]

Step-by-step explanation:

I hope this helps.

An expression is shown below:

2x3y + 8xy − 4x2y − 16y

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Plz help, give good answer and get brainlest!!

Answers

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

I already know the answer but ima check and see.

Answers

I got 2.29 is the difference and debras cows made more obviously

Fraction form is 229/100

MARK ME BRAINLIEST PLEASE

someone help me please like mega pleaseee help a girl out

Answers

Answer:

Step-by-step explanation:

The answer to the question is B.

Obtain the general solution:

(x-y)(4x+y)dx + x(5x-y)dy = 0

Answers

Answer:

y=2x

y=-x

d=0

Step-by-step explanation:

sorry iam not sure i just tray to help

need help!! I don't know how to solve theseeeeeeeeeeeeeeeeeeeeeeeeeeee.

Answers

Cosine = adjacent/hypothenuse
Adjacent = 28
Hypothenuse = 35

Solution: 28/35

What transformation has changed the parent function f(x) = (.5)* to its new
appearance shown in the graph below? (1 point)

Answers

Answer:

Vertical compression by a factor of ¼

Step-by-step explanation:

[Transformed] f(x) = ¼(.5)ˣ

[Original] f(x) = (.5)ˣ

____________________

I determined this transformation by comparing the notable points on the graph.

When x = -2 for the original function f(x), y = 4.

For this transformed graph y = 1 instead of 4.

Therefore y is scaled by ¼, and so that is the vertical compression.

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BRAINLIEST
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Answer each part. If necessary, round your answers to the nearest hundredth.

Answers

Answer:

a) 11/7 pages or about 1.57

b) 23/11 dollars or 2.09090909....... (goes on forever)

BRAINLIEST PLS

The sum of 10 and hans savings is 49. Use the variable h to represent Hans savings.

Answers

Answer:

39 I believe. The question is a little confusing.

Step-by-step explanation:

49-10=h 39=h

Not sure if this is what you want the question is worded weirdly.

what is the domain of this exponential function , y=7^x

Answers

Answer: hope this helps

Step-by-step explanation:

Answer:

Hope this helped!!!

Step-by-step explanation:

I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?

Answers

Answer:

2.5hrs

Step-by-step explanation:

help pls giving branliest

Answers

Answer:

https://youtu.be/TZbTr1oBwKU

The given graph represents the function f(x) = 2(5)^x
[tex]f(x) = 2( {5})^{x} [/tex]
How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0
a) the graph will increase at a slower rate
b) the graph will show a decreasing, rather than increasing, function
c) the graph will show an initial value that is lower on the y-axis
d) the graph will increase at a constant additive rate, rather than a multiplicative rate

Answers

Answer:

Step-by-step explanation:

in exponential equations f(x)=ab^x , a is the intial amount while b is the growth factor. you are just decreasing a so the intial value is lower (=^w^=)

Answer:

Step-by-step explanation:C

Plz help well mark brainliest if you are correct!

Answers

Answer:

12 centimenters.

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.

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