Module 11 angle relationships in parallel lines and triangles answer key

The best conclusion reinforces argument is;Today is the best indicator of tomorrow, but today decreases in value for points further in the future.”

When we are trying to conclude a passage, we are basically trying to close out the overall text or story line with a quote or quotes that best captures the idea or argument being portrayed in the original text.

Now, the argument from the text is a relationship between today, yesterday and tomorrow and the importance of today in that regards.

Looking at the given options as seen in the brainly link below, the best choice that reinforces the overall argument is that of political scientists Joseph Coates and Jennifer Jarratt who said “Today is the best indicator of tomorrow, but today decreases in value for points further in the future.”

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The indefinite integral expressed as an infinite series  is;

[tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]

We will first have to look for the Maclaurin series of arctan(x).

We'll recall that from online tables of integral, this Maclaurin series of arctan(x) will have the general formula;

[tex]arctan(x) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{x^{2n + 1} }{2n + 1}[/tex]

When we apply that general Maclaurin series of arctan(x) to our question of arctan(x²), we have the expression as;

[tex]arctan(x^{2} ) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x^2)^{2n + 1} }{2n + 1}[/tex]

⇒ [tex]= \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1}[/tex]

We now integrate the expression that we got above in the following manner to get;

[tex]\int\limitsarctan(x^{2} ) = \int\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1} dx[/tex]

⇒ [tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]

Thus, that expression gives us the indefinite integral of arctan(x²) as an infinite series.

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The sample space of the experiment is the elements in the set

The sample space {Head, Tail} and there are 2 outcomes in the sample space

From the complete question, the experiment is a toss of a coin

A coin has a head and a tail.

So, the sample space (S) is:

S= {Head, Tail}

The number of outcomes in the above sample space is 2

Hence, the sample space {Head, Tail} and there are 2 outcomes in the sample space

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Answer:

The rebuttal should acknowledge that school remains

a priority and discuss the benefits of a balance

between school and work.

Explanation:

Answer:

B. The rebuttal should acknowledge that school remains a priority and discuss the benefits of a balance between school and work.

Explanation:

edge 2022 <3

The constant ratio of the function f is its growth rate

The function f is an exponential function with a constant ratio of 2

To do this, we simply divide the consecutive function values

From the complete question (see attachment for the table), we have:

f(-1) = 1/4

f(0) = 1/2

f(1) = 1

f(2) = 2

Divide the function values to get the ratio, r

r = f(2)/f(1) = f(1)/f(0) = f(0)/f(-1)

This gives

r = 2/1 = 1 / 1/2 = 1/2 / 1/4

Evaluate the quotients

r = 2 = 2 = 2

The value of r is the same for the three quotients.

Hence, the function f is an exponential function with a constant ratio of 2

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The percentage of the discount of the swimsuit with original price of $35 and current price of $29.75 is; 15%

We are given;

Current price of swimsuit = $29.75

Original price of swim suit = $35

Difference in price = $35 - $29.75

Difference in price = $5.25

Percentage discount = 5.25/35 * 100%

Percentage discount = 15%

In conclusion, the percentage of the discount of the swimsuit is 15%

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Answer:

Explicity

Explanation:

so when we have a function is y is equal to f of X. Which this is really just saying that it's only dependent on one input. Then these kind of functions are called explicitly defined.

Answer:To pick one mathematic major we have 18 way, and o pick one computer science we have 325 ways, so we have 18 * 325 = 5850 ways to make a combination from them.

Explanation:

The relationship between the net force of both sky divers is that; the net force for both skydivers is the same.

We are told that two skydivers of different masses are jumping out of an airplane. Now, at some point, both skydivers will slow down to the point at where they reach constant velocity.

Due to the fact that the velocity for both sky divers is constant, it means that no acceleration will occur and as such, the net force on each sky diver is zero.

Thus, we conclude that the net force for both skydivers is the same.

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Answer:she believes that ignorance is a desirable trait.

Explanation:

Answer: C

Explanation:

The circle is an illustration of intersecting chords.

The value of x is 4

From the complete question, the given parameters are:

This means that:

jn * nk = ln * nm

So, we have:

3 * x = 2 * 6

Divide both sides by 3

x = 2 * 2

Evaluate the product

x = 4

Hence, the value of x is 4

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Given:

# of shares = 4000

Dividend per share = 0.90

The income by dividends is the product of the number of shares and the dividend per share.

Income Dividends =  # of shares x Dividend per share

4000 x 0.90 = 3600

There are four major types of probability and they include:

This refers to the mathematical depictions of the possibility of an event occurring based on given variables.

Please note that your question is incomplete so I gave you a general overview of a probability distribution.

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The length of the end of the banjo string when the fundamental frequency is 330Hz will be 0.61m.

The fundamental frequency will be given as:

f = v/2L

Let the required length be represented as L2.

Therefore, f1/f2 = L1/L2

L2 = (294 × 0.69)/330

L2 = 0.61m

Therefore, the length will be 0.61m.

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The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.

The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.

For example, given the following points on a coordinate plane:

Using the distance formula, we would calculate the distance as:

AB =√[(5−2)² + (6−3)²]

AB = √[(3)² + (3)²]

AB = √18

AB = 4.2

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Businesses taxed with the corporate income tax are done on the profits after deducting all the expenses.

This is a levy imposed on taxpayers by government organizations which helps to provide a source of revenue.

Businesses usually taxed with the corporate income tax by deducting all the expenses after profit has been determined.

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Yamamoto uses literary elements such as flashback and paradox to list or show  the language barrier that was said to exist between Mr. Endo, his son-in-law and the other parties involved.

In the excerpt, Yamamoto was said to have make use of flashback and paradox so as to show the language issue that did exist between Mr. Endo and that of his son-in-law.

He also uses the element to show the generational divide that is said to have existed between Sadako and her father, thereby showing the strained in terms of their relationships in the family as a result of lack of communication.

Conclusively, The paradox also tell about the physical hindrances that lead to the issue or wide gap in their relationship.

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Answer:

3 seconds

Explanation:

Make a graph of the possible outputs for the trajectory of the water balloon. Then, solve for x. Doing this, you end up with 3 seconds.

A water balloon is dropped from a height of 144 feet for 3 seconds.

A water balloon, commonly referred to as a water bomb, is a latex rubber balloon filled with water that is used in practical jokes, water balloon fights, and other celebrations.

The first water balloons arrived in 1950, despite the fact that rubber balloons have been around since the first part of the 19th century (Michael Faraday created them in 1824 for his experiments).

At that time, Edgar Ellington tried to come up with a fix for the much more serious issue of trench foot. Trench foot is a condition brought on by extended exposure to cold, damp, and unclean circumstances.

Therefore, A water balloon is dropped from a height of 144 feet for 3 seconds.

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Mr Reams uses 10 cups of paint to fill the small dishes, therefore, the amount of paints left in the bowl is 2 cups.

He mixes 12 cups of paints in a large bowl.

He uses the paint to fill 40 small dishes with 2 fluid ounces of paint each.

1 small dish = 2 fluid ounces

40 small dishes = 80 fluid ounces

Therefore,

1 fluid 0unces = 0.125 cups

80 fluid ounces = ?

cross multiply

amount of paint filled = 80 × 0.125 = 10 cups

Therefore, the amount of cups pf paint Mr Reams have left in the bowl is 12 cups - 10 cups = 2 cups.

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Answer:

union mean between so the. first n second quadrants are at 180 degree so we will divide my 2 n then get the answer to be 90

Answer:

There is no convincing evidence that drying barley seeds in a kiln increase the yield of barley, on average.

Explanation:

Answer:es, the answer is 61. This is related to a mathematical principle called the Pigeonhole Principle, which states that if you are trying to sort  n+1  objects into k sets (where nk=r;n,k,r∈Z+), at least one set must contain at least r+1 objects. (This can be proven by proof by contradiction, but is pretty standard and so generally can just be used as justification of an answer by itself.)

For your problem, you have 12 signs of the zodiac - these are your 12 sets (so k=12). You are looking to find how many it takes before a set contains 6 objects (so r+1=6 and thus r=5). Therefore, n+1=r×k+1=12×5+1=61.

Explanation:

An example of congruence similarity and transformations work is " If the measures of the angles of a triangle are in the ratio 4 : 5 : 9. The triangle is?.

A right triangle is known to be often called right-angled triangle. It is said to be a triangle that is composed of one angle which is at a right angle and two sides which are said to be perpendicular.

So lets take the angles to  be 4x, 5x and 9x

We add them to be 4x + 5x + 9x =180°

18x=180° =

x= 180/18

x = 18

So therefore the angles are:

4×10°

=40°

5×10°

=50°

9×10°

=90°

So therefore since one of the angle is 90° and as such,  the triangle is right angled triangle.

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Houghton Mifflin Harcourt geometry is known to be a popular textbook. An example of this geometry is trigonometry and angles.

This geometry  textbook is written by  Houghton Mifflin Harcourt . It is one that helps student to build their existing knowledge on geography.

The term trigonometry is known to be a branch of mathematics that functions mostly with some special functions of angles and also their application in terms of calculations.

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The amount of tax on jacob’s purchase is $6.16.

Tax rate is simply the ratio at which a business or person is taxed.

To determine the amount of tax on Jacob’s purchase, we simply multiply the total purchase made by the tax rate.

Total purchase by Jacob; [tex]P = 62.75 + 14.25 = 77[/tex]

Sales tax rate; [tex]r = 8/100[/tex]

Hence, the amount of tax on jacob’s purchase is;

[tex]= 77 * \frac{8}{100}\\ \\= 6.16[/tex]

Therefore, the amount of tax on jacob’s purchase is $6.16.

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Answer:

To be effective, a blood substitute has to function like hemoglobin in carrying oxygen to organs and cells inside the patient's body. The problem, however, is that hemoglobin outside of RBCs is toxic.

Explanation:

Answer:

there is no question

Explanation:

there is no question