How to find the measure of an interior angle of an irregular polygon?

Answers

Answer 1

Exterior Angles of a Polygon Definition: the angle formed by any side of a polygon and the extension of its adjacent side Try this Adjust the polygon below by dragging any orange dot. Click on "make regular" and repeat. Note the behavior of the exterior angles and their sum. Regular polygons In the figure above check "regular". As you can see, for regular polygons all the exterior angles are the same, and like all polygons they add to 360° (see note below). So each exterior angle is 360 divided by the n, the number of sides. As a demonstration of this, drag any vertex towards the center of the polygon. You will see that the angles combine to a full 360° circle. Convex case In the case of convex polygons, where all the vertices point "outwards" away form the interior, the exterior angles are always on the outside of the polygon. In the figure above, check "regular" and notice that this is the case. Although there are two possible exterior angles at each vertex (see note below) we usually only consider one per vertex, selecting the ones that all go around in the same direction, clockwise in the figure above. Taken one per vertex in this manner, the exterior angles always add to 360° This is true no matter how many sides the polygon has, and regardless of whether it is regular or irregular, convex or concave. In the figure above, adjust the number of sides, switch to irregular and drag a vertex to see that this is true. In the figure above click on 'reset' and check "both". You will see that both angles at each vertex are always congruent (same measure). This is because they form a pair of vertical angles, which are always congruent. Drag the vertices around and convince yourself this is true. Concave case If the polygon is concave, things are a little trickier. A concave polygon has one or more vertices "pushed in" so they point towards the interior. In the figure above, uncheck "regular" and drag a vertex in towards the interior of the polygon. Notice that the exterior angle flips over into the inside of the polygon and becomes negative. If you add the exterior angles like before, they still add to 360°, you just have to remember to add the negative angles correctly. Exterior and Interior angles are supplementary At any given vertex, the interior angle is supplementary to an exterior angle. See Interior/Exterior angle relationship in a polygon. Walking the polygon In the figure above, imagine the polygon drawn on the ground. Stand on one of the sides and face along the line. Now if you walk around the polygon along each line in turn, you will eventually wind up back where you started, facing the same way. So you must have turned through a total of 360°, a full circle. This confirms that the exterior angles, taken one per vertex, add to 360° The sum of exterior angles - watch out! In most geometry textbooks they say flatly that the exterior angles of a polygon add to 360° This is only true if: You take only one per vertex, and Take all the angles that point in the same direction around the polygon. But in many cases they fail to state these conditions. In the figure at the top of the page, check the "Both" checkbox. You will see there are two per vertex and they actually add to 720° (360 times 2) So if you are asked "What is the sum of the exterior angles of a polygon?" without any conditions, you will have to guess which one they mean. Usually they mean taking one per vertex, and the answer is 360°, although strictly speaking this is wrong.

Related Questions

If tan x=a/4 and cos x=4/b what is the value of sin x?

Answers

[tex]cos(x) = \frac{4}{b} \\ \\ tan(x) = \frac{sin(x)}{cos(x)} = \frac{a}{4} \\ \\ substitute... \frac{4}{b} ...for ...cos(x) \\ \\ \frac{sin(x)}{ \frac{4}{b} } = \frac{b*sin(x)}{4} = \frac{a}{4} \\ \\ b*sin(x) = a \\ \\ sin(x) = \frac{a}{b} [/tex]

Final answer:

The value of sin x is sqrt(b^2 - 16)/16.

Explanation:

To find the value of sin x, we can use the trigonometric identity: sin^2(x) + cos^2(x) = 1.

Given that tan x = a/4 and cos x = 4/b, we can use the Pythagorean identity (1 + tan^2(x) = sec^2(x)) to find the value of sin x:

1 + (a/4)^2 = (4/b)^2

Simplifying the equation, we get: 1 + a^2/16 = 16/b^2Multiplying both sides by 16, we get: 16 + a^2 = 256/b^2Substituting the value of cos x, we get: 16 + a^2 = 256/(16/b^2)Further simplifying, we get: 16 + a^2 = 16b^2/16Cross multiplying, we get: 16 + a^2 = b^2Substituting the value of tan x, we get: 16 + (4a)^2 = b^2Simplifying the equation, we get: 16 + 16a^2 = b^2Subtracting 16 from both sides, we get: 16a^2 = b^2 - 16Taking the square root of both sides, we get: 4a = sqrt(b^2 - 16)Dividing both sides by 4, we get: a = sqrt(b^2 - 16)/4

Substituting the value of a in the equation sin x = a/4, we get: sin x = sqrt(b^2 - 16)/16

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The ordered pairs below represent a function

(-2,-17.5),(5,8.75),(0,-10),(-1,-13.75),(3,1.25)

What is the rate of change of the function?Round to the nearest hundreth if necessary. PLEASE HELP ASAP WILL AWARD BRAINLIEST!!!

Answers

Answer: The rate of change (or slope) is 3.75.

If you plot the points, you will see that they are linear. The rate of change is equal to the slope between the points. Since the slope is the same between all of them, pick two points and find the slope.

(8.75 - (-17.5) / ( 5 - (-2))
26.25 / 7
3.75

Answer:

The answer is 3.75.

Step-by-step explanation:

I did this before

Analyze the graph of the quadratic function that contains the points (0,-2), (1,0) and (3,10). Create the equation of the function given the three points.

Answers

Graph the points (0,-2) , (1,0) , and (3,10). What did you notice?

PLEASE HELP ME ON THIS

Answers

I believe it’s c bro

It's C) 221 = 22h + 45

The number of hours it will take is :
22h = 221-45
22h = 176
h = 176/22
h=8
so it takes them 8 more hours to finish learning the song.

Match each correlation coefficient with the type of association it indicates between the variables x and y.

r = 0.9
r = -1.0
r = -0.6
r = 0.1

a perfect linear association in which y increases as x increases

a perfect linear association in which y decreases as x increases

a strong linear association in which y increases as x increases

a strong linear association in which y decreases as x increases

a moderate linear association in which y increases as x increases

Answers

r = 0.9
A value of 0.9 would indicate that the correlation is positive. Since it's also close to the value 1, it would also tell us that the correlation of y and x is strong. Therefore, r = 0.9 would be a strong linear association in which y increases as x increases.

r = -1.0
Since the value of r is negative, this would mean that the correlation is also negative. Furthermore, the value of r is also at the minimum point which is -1.0 thus this would tell us that the correlation is a perfect linear association in which y decreases as x increases.

r = -0.6
Likewise, this r value is also negative thus allowing us to know that y will decrease as x increases. The value of r, which is -0.6, is also close to -1.0. This allows us to tell that it is a strong relationship. Therefore, r = -0.6 is a strong linear association in which y decreases as x increases.

r = 0.1
For this correlation, the r value is positive. This would indicate that the value of y will increase as x increases. Since the r value is only 0.1, we cannot say that it is a strong relationship since it is far from the maximum value for a perfect relationship which is 1. Therefore, r = 0.1 is a moderate linear association in which y increases as x increases.

r = 0.9 (a strong linear association in which y increases as x increases)

r = -1.0 (a perfect linear association in which y decreases as x increases)

r = -0.6 (a moderate linear association in which y decreases as x increases)

r = 0.1 (no linear association or a very weak association)

Find an nth degree polynomial function with real coefficients satisfying the given conditions. calculator

Answers

what this question makes no sence

Final answer:

To find an nth-degree polynomial function with real coefficients given certain conditions, we can write the polynomial as a product of its linear factors using the given roots.

Explanation:

To find an nth-degree polynomial function with real coefficients, we need to use the given conditions. Let's say the conditions include the roots of the polynomial. If we have n distinct real roots, the polynomial will have n factors. So, if the roots are a, b, c, ..., we can write the polynomial as P(x) = (x - a)(x - b)(x - c)...

Example:

To find a quadratic polynomial with roots 2 and -3, we can write the polynomial as P(x) = (x - 2)(x - (-3)) = (x - 2)(x + 3) = x² + x - 6.

Similarly, for higher-degree polynomials, we use the same approach. We write the polynomial as a product of its linear factors using the given roots.

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What is the domain of y = cos θ?
A. [-1, 1]
B. [0, infinity]
C. All real numbers
D. 2pi,

Answers

The domain of y = cos θ is all real numbers. This is because any real number can be plugged in for θ and y will be equal to a real number. This can be shown graphically because the y = cos θ will go on infinitely both to the right and left.

Answer:

Option C - All real numbers

Step-by-step explanation:

Given : Function [tex]y=\cos \theta[/tex]

To find : The domain of given function ?

Solution :

Domain is defined as the set of values for which function is defined.

We have given the function,

[tex]y=\cos \theta[/tex]

We know, for any value of [tex]\theta[/tex] the function [tex]y=\cos \theta[/tex] is defined.

Which means the set of all real numbers defined the given function i.e. [tex]x\in(-\infty,\infty)[/tex]

Therefore, Option C is correct.

The domain of [tex]y=\cos \theta[/tex] is all real numbers.

what is the y- coordinate of the y- intercept of the line that passes through the points (-4,-4) and (4,8)

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -4 &,& -4~) % (c,d) &&(~ 4 &,& 8~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-(-4)}{4-(-4)}\implies \cfrac{8+4}{4+4}\implies \cfrac{12}{8}\implies \cfrac{3}{2}[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}y-(-4)=\cfrac{3}{2}[x-(-4)] \\\\\\ y+4=\cfrac{3}{2}(x+4)\implies y+4=\cfrac{3}{2}x+6\implies y=\stackrel{slope}{\cfrac{3}{2}}x\stackrel{y-intercept}{+2}[/tex]

notice the slope-intercept form, that's the y-coordinate.

Suppose you invest $500 at an annual interest rate of 8.2% compounded continuously. How much will you have in the account after 15 years? (1 point)

$1,671.74
$17,028.75
$1,710.61
$8,140.92

Answers

(1.082)^15(500)=$ 1,630.71. I do not see this figure as an option, but it is the correct response.

The formula to find the amount with principal P, rate of interest r and time t when it is compounded continuously is
A=Pe^(rt)
P=$500 r=8.2% n=15
A=500*e^(0.082*15)
=500*e^1.23
= 1710.61476814
Rounding off to the nearest hundredths, we have
A= $1,710.61

Find a rational number that is between 9.5 and 9.7

Answers

Hello!

I think a rational number between 9.5 and 9.7 could be 9.6.

Enjoy.
~Isabella

Answer:

9.6

Step-by-step explanation:

It is a rational number as it has terminating decimal expansion

Mark has 36 drawings of horses and 4 drawings of spaceships. write and solve an equation to find how many times as many drawings of horses he has as spaceships.

Answers

We need to find how many horses there are for one spaceship. So, we can set up our equation like:

4x = 36

Dividing both sides by 4:

x = 9

Hope this helps!

36 divided by 4 = 9
(I need 20 letters)

1. Solve the equation. -4x = 0
X = -4
X = 4
X = 0
X = 1

2. decide whether the given number is a solution of the given equation. Is 8 a solution of y + 9 = 17 ?
Yes or no

3. simplify the expression by combining like terms. 10x - x - 2x - x
8x
x² + 8x
6x
-x2 + 8x

4. Name the property shown. 12x( y ) = 12(xy)

Answers

1. is x=4
2. is yes
3. is 6x
4. is associative property of multiplication

The expanded form 700,000 + 10,000+9 represents the whole number. 701,309. 713,009. 710,309. 713,090.

Answers

it represents the whole number 710,009

Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2.9. What is the margin of error, assuming a 90% confidence level? Round your answer to the nearest tenth. 0.01

Answers

Round your answer to the nearest tenth.. Answer= 0.3

The Margin of error for a 95% confidence level will be ..
Answer= greater than 0.3

Answer:

The margin of error assuming a 90% confidence level is 0.3

Step-by-step explanation:

Size of the sample: n=320

Mean: m=24

Standard deviation: s=2.9

Confidence interval: 90%

100(1-α)=90

Solving for α: Dividing by 100 both sides of the equation above:

100(1-α)/100=90/100

1-α=0.9

Subtracting 1 both sides of the equation:

1-α-1=0.9-1

-α=-0.1

Multiplying the equation by -1:

(-1)(-α=-0.1)

α=0.1

n= [z(1-α/2) s / E]^2

where E is the margin of error

z(1-α/2)=z(1-0.1/2)=z(1-0.05)=z(0.95)=1.64 (Table standard normal distribution)

z(1-α/2)=1.64

Replacing the known values in the equation above:

320= [(1.64) (2.9) / E]^2

320= (4.756/ E)^2

Solving for E: Square root both sides of the equation:

sqrt(320)=sqrt[ (4.756/ E)^2]

17.88854382=4.756/E

Cross multiplication:

17.88854382 E = 4.756

Dividing both sides of the equation by 17.88854382:

17.88854382 E / 17.88854382 = 4.756 / 17.88854382

E=0.265868486

Rounding tho the nearest tenth:

E=0.3

Given f(x) = 3x+4 . What is f(8)

Answers

If x=8 {f(8)=3x+4}, the answer is 28.

Comment the correct answer.

it would be substitution then solving. step by step.

f(x)=3x+4
f(8)=3(8)+4
f(8)= 24+4
f(8)=28
hope that helps!!

twice the measure of an angle's complement less 6 is equal to 124 find the measure of the angle

Answers

Answer

you work it out the same way the first guy did, except instead of

2 (180-x) - 6 = 124, it's

2(90-x) -6 = 124.

the first guy divided by the supplement instead of the complement.

Step-by-step explanation:

Final answer:

To find the measure of the angle, you can use the equation 2(90 - x) - 6 = 124, where x represents the angle. By solving for x, you can determine that the measure of the angle is 25 degrees.

Explanation:

To find the measure of the angle, we can use the information provided in the question. Let's let the measure of the angle be x degrees. The complement of the angle can be found by subtracting the measure of the angle from 90 degrees, since the sum of an angle and its complement is always 90 degrees. Therefore, the complement of the angle is 90 - x degrees.

According to the given equation, twice the measure of the angle's complement less 6 is equal to 124. We can write this as 2(90 - x) - 6 = 124. Now we can solve for x:

2(90 - x) - 6 = 124

180 - 2x - 6 = 124

-2x + 174 = 124

-2x = -50

x = 25

Therefore, the measure of the angle is 25 degrees.

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PLEASE ANSWER THIS EASY MATH QUESTION!!
WILL PROVIDE THE ANSWERS BELOW!!!

Answers

The answer is A , you can use Photomath for questions like this !!

bracelet costs $8. Simone is also buying a necklace for her mother for $18. She believes that her total will be $98. Which expression could be used to estimate the reasonableness of Simone’s total? 8 × $8 + $10 8 × $8 + $18 10 × $8 + $20 10 × $10 + $10

Answers

she wrong is 26
i hope i helps

For this case what we should do is write the expression step by step.
"She believes that her total will be $ 98"
To get to this we have:
10 × $ 8 + $ 20
Rewriting:
10 × $ 8 + $ 20
$ 80 + $ 20
$ 100
Rate approximately equal to $ 98 with an extra $ 2.
Answer:
An expression that could be used to estimate the reasonableness of Simone's total is:
10 × $ 8 + $ 20

Given: ΔABC ≅ ΔFDE. . What is the length of segment DE rounded to the nearest tenth?. . 3.2. . 4.2. . 2.2. . 3.6. .

Answers

[tex]d= \sqrt{(3-2)^2 + (1-4)^2 } [/tex]
[tex]d= \sqrt{( x_{2}- x_{1})^2 + ( y_{2}- y_{1})^2 } [/tex]
[tex]d= \sqrt{(1)^2 + (-3)^2 } [/tex]
[tex]d= \sqrt{1+9 } [/tex]
[tex]d= \sqrt{10 } [/tex]
[tex]d= 3.2[/tex]
The length of segment DE is 3.2

Answer:

The length of segment DE is 3.2 (A)

Step-by-step explanation:

A tour group charges a flat price for a tour of up to 20 people. The cost per person varies inversely with the number of people. If five people pay 135 each, what must 15 people pay per person.

Answers

Answer:
15 people must pay 45 unit currency each

Explanation:
Assume that the number of people is x and that the price per person is y.
We are given that the cost per person varies inversely with the number of people.
This means that as the number of people (x) increases, the cost per person (y) decreases and vice versa

This can be translated into the following equation:
y = k / x
where k is the constant of proportionality.

Now, we need to get k.
We are given that:
for number of people (x) = 5, the charge per person (y) is 135.
Substitute with this in the above equation to get k as follows:
y = k / x
135 = k / 5
k = 135 * 5 = 675

The equation now became:
y = 675 / x

Finally, we want to get the cost per person (y) when the number of people (x) is 15.
All we have to do is substitute in the above equation to get the y as follows:
y = 675 / x
y = 675 / 15
y = 45

This means that, for a group of 15 people, each one will pay 45 unit currency

Hope this helps :)

A light bulb manufacturing machine produces 72 light bulbs per minute. How much time would it take to make 5400 light bulbs?

Answers

(5400 bulbs)/(72 bulbs/min) = 75 min

It would take 75 minutes for the machine to make 5400 light bulbs.

123456780-646472.657

Answers

122,810,307.343 is the answer

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4-hour job, for instance, is $ 32.

Answers

Final answer:

Carolina's charges can be represented by the linear equation y = 8 + 6x, where x represents hours worked and y represents the total fee charged for the service.

Explanation:

The subject this question pertains to is Mathematics, specifically linear equations. Carolina's job can be modelled by a linear equation, where the independent variable is the number of hours worked and the dependent variable is the total fee charged.

In this case, Carolina charges an initial flat fee plus $6 per hour worked. Her total charge for a 4-hour job is $32, which means her initial fee can be deduced by subtracting four times her per-hour fee from the total fee, that is $32 - 4*$6 = $32 - $24 = $8. Therefore, the linear equation that models Carolina's job is y = 8 + 6x, where x is the number of hours worked and y is the total fee charged.

This is similar to the linear equation that represents Svetlana's tutoring job in Example 12.4, where each tutoring session earns her a one-time fee of $25 plus $15 per hour of tutoring, modeled by the equation y = 25 + 15x.

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PLEASE HELP ME ON THIS

Answers

The domain of the function is 80 to 180 because domain refers to the valid inputs of the function.

After receiving $42, the new domain (that Albert can afford) is from 80 to 147.

one method of estimating is to

Answers

One way of estimating is to Round the numbers to the nearest whole number.

Hope this helps!

The answer is "A" because whenever you round (up or down) you are only changing the value a teeny bit, which only matters if you want to measure an exact amount of something. Using a calculator gives you the exact answer. Guess and check really doesn't work because there are ∞ numbers. Any answer is not fine because if the answer is 5 and you answer with 9633, that answer is obviously wrong. So, A is right.

Javier bought a 20 oz smoothie that contains 450 total calories how many calories does a smoothie contain per ounce

Answers

20 oz = 450 calories
1 oz = 450 ÷ 20
1 oz = 22.5 calories

At the beginning of the spelling bee there were 60 participants. One-third of the participants were eliminated during the first round. One-fourth of the remaining participants were eliminate during the second round. One-sixth of the remaining participants were eliminated during the third round. How many participants were still cmpeting at the beginning of the fourth round?

Answers

Participants = 60
.
First round:
1/3 of 60 = 20
or
60 x 1/3
= 60/3
= 20
60 - 20 = 40
There are 20 participants that are eliminated on the first sound and 40 participants to move on to the second sound.
.
Participants = 40
Second round:
1/4 of 40 = 10
or
40 x 1/4
= 40/4
= 10
40 - 10 = 30
There are 10 participants that are eliminated on the second round and 30 participants that is moving on to the next round.
.
Participants = 30
Third round:
1/6 of 30 = 5
or
30 x 1/6
= 30/6
= 5
30 - 5 = 25
There are 5 participants that are eliminated on the third round and 25 participants to move on to the fourth round.
:)

By subtracting the eliminated participants in each round from the original number, it is determined that 25 participants were still competing at the beginning of the fourth round.

To find out how many participants were still competing at the beginning of the fourth round of the spelling bee, we need to perform some calculations based on the given percentages of participants eliminated in each round.

In the first round, one-third of the 60 participants were eliminated. This is 60 / 3 = 20 participants eliminated. So, 60 - 20 = 40 participants remained after the first round.In the second round, one-fourth of the remaining participants were eliminated. This is 40 / 4 = 10 participants eliminated. So, 40 - 10 = 30 participants remained after the second round.In the third round, one-sixth of the remaining participants were eliminated. This is 30 / 6 = 5 participants eliminated. So, 30 - 5 = 25 participants remained.

Therefore, 25 participants were still competing at the beginning of the fourth round.

Carpet sells for $3 per square foot and will cost you $810 to recarpet your rectangular room. if your room is 18 feet long, how many feet wide is it?

Answers

$810 ÷ 3 = 270 square feet
Area of the room is 270 square feet.

Area = 270 square feet, length = 18 feet

Area = Length x Width
270 = 18 x width
Width = 280 ÷ 18
Width = 15 feet

The room is 15 feet wide.

Find the percent of increase from 4.5 inches to 13.5 inches.

Answers

Final answer:

To calculate the percent of increase from 4.5 inches to 13.5 inches, subtract the original value from the new value, divide by the original value, and then multiply by 100, resulting in a 200% increase.

Explanation:

To find the percent of increase from one number to another, you can use the formula: (New Value - Original Value) / Original Value × 100%. Applying this to the question, the original value is 4.5 inches, and the new value is 13.5 inches.

Calculate the increase: 13.5 - 4.5 = 9 inches.Divide the increase by the original number: 9 / 4.5 = 2.Convert this to a percentage by multiplying by 100: 2 × 100% = 200%.

Therefore, the percent of increase from 4.5 inches to 13.5 inches is 200%.

Which graph represents the function on the interval [−3, 3] ?

Answers

floor(0) -3 = -3 . . . . . only the left-side graphs have this point

floor(0.1) -3 = -3 . . . . only the lower-left graph has this point.

The lower-left selection is appropriate.

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I will fan and medal!!! PLEASEA gray-scale digital camera with 1,000,000 pixels takes a picture (the picture is made of 1,000,000 parts and each part has a certain amount of gray). A histogram is made where the data is the amount of gray in each of these parts. The histogram looks bell-shaped with a mean of 125 gray levels and a standard deviation of 15.How many pixels are brighter than 163 gray levels?500010,000160,00050,000 Whats the surface area of a rectangle if its 5 by 10 in A population of mice has moved in a new area where the rocks are very dark. Due to natural genetic variation, some of the mice are black while others are tan. The bird is a predator of the mice. Predict what will happen after a few generations and explain why. Be sure to include the following words in your response: adaptation, survive, reproduce. Please help ASAP! 16 points A line of best fit predicts that when x equals 25, y will equal 27.745, but y actually equals 29. What is the residual in this case? 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Wells's The Time Machine, what can you infer about the Time Traveller? for Owens lemonade recipe, 6 lemons are required to make 5 cups of lemonade?express your answer in simplest form. plz help In what way does the conversation between lady macduff and her son serve as comic relief act 4 The intertidal zone is home to an abundance of aquatic organisms, like the barnacle, that can survive periods where they are not underwater. What type of tide would most likely decrease the abundance of aquatic organisms, and why? Downwelling because it creates a cold environment that is not suitable for all aquatic organisms Upwelling because it creates a cold environment that is not suitable for all aquatic organisms Neap tide because it creates a small difference between high and low tides, so organisms are in stable environments Spring tide because it creates a large difference between high and low tides, so the organisms are in extreme environments How many moles of water are produced from 12.8 moles of oxygen State whether the relationship between the variables in the table is a direct variation, an inverse variation, or neither. If it is a direct or inverse variation, write a function to model it. x=3,9,13,20y=9,27,39,60I know it's direct but how do I write a function model to it?, NEED HELP ASAP1.What is an example of the news media?newsmagazines, commercials, and interviewsaudio-visual equipmentheadline designed to grab interestthe point-of-view of news reporters2.Which of the following could be a topic for a persuasive speech?how to write a limerickintroducing a guest speakera story about a favorite coachreasons to visit California on summer vacation3.For which of the following situations would you most likely use empathic listening?persuasive speechesconversations with friends or familywhen listening to musicduring a play4.When shooting video, why is it best to film more than one take?Multiple takes improve the chances of a quality film by offering more choice.Multiple takes allow for the incorporation of multiple actors.Multiple takes ensure that the crew understands the shooting script.Multiple takes give the crew adequate rest between takes.5.Why do speakers giving persuasive speeches often use inflated language?to impress the audience or to conceal meaningas the best means for conveying critical informationas a rhetorical strategyto bring about an emotional response6.Which of the following might be the most effective choice of visual aid or multimedia to use with a speech about the artistic style of Diego Rivera?a bar graph illustrating the average cost of his paintingsa video about Mexicoa slideshow of his most famous worka map showing the location of each of his murals7.What is a video camera used for?scanning documents into a computerfilming video footage with a crewshooting still photographsprojecting a computer image onto a screen8.Which of the following is a helpful strategy for listening to criticism?telling the critic to be quietleaving the roomlistening with an open mindlistening defensively Which of these book titles best describes the Gideon v. Wainwright ruling, and what was the result? Expanding Civil Rights Gideon demanded an attorney because he couldn't afford one resulting in all citizens charged in criminal cases having the right to an attorney. Due Process The Supreme Court's ruling against Gideon resulted in a guilty verdict and lack of attorney representation for future accused. Defense Denied - The Supreme Court denied Gideon's request for an attorney and created a situation in which more innocent people were jailed. Taking the Stand Gideon's request to represent himself in his criminal case resulted in a law that allowed citizens to represent themselves in court if they couldn't afford an attorney. Three-fourths of an inch on a map equals 750 miles. what would one inch equal? The hypotenuse of a right triangle is 6 inches. if one of the legs is 2 inches, find the degree measure of each angle Why would the cessation of the slave trade make such an impact on those slaving nations and colonies in the Americas?