What is the measure of angle x in the figure below?

What Is The Measure Of Angle X In The Figure Below?

Answers

Answer 1

Answer:

acute

Step-by-step explanation:

duh

Answer 2

Answer:

Step-by-step explanation:

hahahahhahahaha do it yourself and thast easy

you add 30 and90 takeaway 180 than you find out how many degrees are in  the corner which is 60

180-60=20

x=20

to be honest i woud be worried if  i ever struggled on a quetion like this


Related Questions

Hiro has 5 kilog of potatos a 2 kg of onions he plans to use 3.25 kg of potatoes and 550 grams of onions for recipe. how many total kilograms of the produce will not be used?

Answers

so 3.25+0.55=3.80 and theres 1.75kg of potatoes left and 1.45kg of onions left so u add them together and its 3.20 so the answer is: 3.20 kgs will not be used

Which of the following statements is a valid polynomial identity?

Statement 1: x3 + 27 = (x + 3)(x2 − 3x + 9)
Statement 2: x3 + 27 = (x − 3)(x2 + 3x + 9)

a
Only statement 1 is valid.

b
Only statement 2 is valid.

c
Statement 1 and statement 2 are valid.

d
Statement 1 and statement 2 are invalid.

Answers

Answer:

the answer is C :) good luck

i posted 2 others already plz help answer i really need this

i posted 2 others already plz help answer i really need this

Answers

Answer:No

Step-by-step explanation:

B. No ;):););):);););):p

NEED HELP ASAP PLS HELP WILL GIVE BRAINLIEST
A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a triangle is the sum of its side lengths.

Answers

Answer:

Step-by-step explanation:

P= a+b+c

P= 1512+223+314

=2049

if x=1+3i ,y=x-i find the value of x^2-y^2​

Answers

Answer:

Step-by-step explanation:

x = 1 + 3i

x^2 = (1 + 3i)(1 + 3i)

f: 1 * 1 = 1o: 1 * 3i = 3ii:  3i * 1 = 31L: = 3i * 3i = 9i^2 = - 9

x^2 = 1 + 6i - 9 = -8 + 6i

By a similar method

y = (x - i)

y^2 = x^2 - 2i*x + i^2

y^2 = x^2 - 2ix - 1

y^2 = -8+6i - 2i(1 + 3i) -1

y^2 = -8+6i -2i - 6i - 1

y^2 = -8 - 2i - 1

y^2 = - 9 - 2i

x^2 - y^2 = -8 + 6i - (9 - 2i)

x^2 - y^2 = -8 + 6i - 9 + 2i

x^2 - y^2 = -17 + 8i

15 bakers complete a big order in 24 hours. How many hours would it take 18 bakers to complete the same order?

this was asked before but the answer was incorrect

Answers

Answer:

20

Step-by-step explanation:

The time taken by 18 bakers is given as 20 hours.

What is the application ratio and proportion?

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given problem is the case of Indirect proportion as the time taken is more as the number of bakers are less.

The time taken by 15 bakers is 24 hours.

Then, the time taken by 1 baker is given as 24 × 15 = 360 hours.

The time taken by 18 bakers is computed by taking the ratio as below,

Total time for 1 baker ÷ 18

⇒ 360 ÷ 18 = 20.

The time that will take 18 bakers to complete the work is 20 hours.

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A cube has a side length x and an each dimension is being increased by y, guys. :)

A). Write an expression for the surface area of the new cube, and then expand, and simplify, guys. :)
B). Please find the difference of the surface areas of the new cube and the original cube, guys. :)

Answers

Surface area of old cube

6(side)²6x²

Side of new cube

x+y

Surface area

6(x+y)²6(x²+y²+2xy)6x²+6y²+12xy

Difference

6y²+12xy

Answer:

A)  6(x + y)² = 6x² + 12xy +6y²

B)  12xy +6y²

Step-by-step explanation:

Surface area of a cube = 6s²  (where s is the side length)

Part A

Given:

x = side length of original cube

⇒ Surface area of the original cube = 6x²

If the side length of the cube is increased by y, then:

(x + y) = side length of new cube

⇒ Surface area of the new cube = 6(x + y)²

Expand and simplify:

⇒ 6(x + y)²

⇒ 6(x + y)(x + y)

⇒ 6(x² + xy + xy + y²)

6x² + 12xy +6y²

Part B

To find the difference between the surface areas of the new and original cubes, subtract the surface area of the original cube from the surface area of the new cube:

⇒ SA of new cube - SA of original cube

⇒ 6x² + 12xy +6y² - 6x²

12xy +6y²

In a lottery daily game, a player picks three numbers from 0 to 9. How many different choices does the player have if the order doesn't matter?

Answers

For the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.

As given in the question,

Total number have to pick by a player in a lottery daily game is equal to 3

Numbers  from which player have to pick the three numbers is 0 to 9

Total numbers from which player have to pick the three numbers = 10

Given condition : Order of the number does not matter

Total number of choices to pick three numbers from 0 to 9

= ¹⁰C₃

= ( 10! ) / ( 10 - 3 )! (3!)

= 10! / 7! 3!

= ( 10 × 9 × 8 × 7! ) / ( 7!) ( 3 × 2 × 1 )

= 10 × 3 × 4

=120 choices

Therefore, for the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.

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Reese claims that if​ 60% of the registered voters cast​ 273,600 votes, there would be fewer registered voters than above. Is he​ correct? Why or why​ not?

Answers

Using the concept of percentage and fraction, the number of votes casted is 164160 which is fewer than the registered voters

What is Percentage

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviation "pct." For example, 45% (read as "forty-five percent") is equal to 45/100, or 0.45.

In this question, we have to find 60 percent of 273600 and determine the value which is most likely fewer than the initial number of votes cast.

This can be calculated as;

60 / 100 = x / 273600

0.6 = x / 273600

Cross multiply both sides and solve for x

x = 273600 * 0.6

x = 164160

The number of votes is 164160

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in a recent study, 90% of the homes in the united states were found to have large-screen tvs. in a sample of nine homes, what is the probability that:

Answers

The number of ways to choose 0, 1, and 2 homes out of 9, respectively

Why 90% of the homes in the united states were found to have large-screen tvs?

we need to assume that the sample of nine homes is a random sample from the population of all homes in the United States. Based on this assumption, we can use the binomial distribution to model the number of homes in the sample that have large-screen TVs.

Let p be the probability that a randomly selected home in the United States has a large-screen TV, which is given as 0.9. Let X be the number of homes in the sample of nine that have large-screen TVs. Then X follows a binomial distribution with parameters n = 9 and p = 0.9.

Exactly 7 of the 9 homes have large-screen TVs.The probability of exactly 7 homes having large-screen TVs is given by the binomial probability mass function:

P(X = 7) = (9 choose 7) ˣ (0.9)⁷ ˣ (0.1)² ≈ 0.3874

where (9 choose 7) is the number of ways to choose 7 homes out of 9.

At least 8 of the 9 homes have large-screen TVs.The probability of at least 8 homes having large-screen TVs is the sum of the probabilities of X = 8 and X = 9:

P(X ≥ 8) = P(X = 8) + P(X = 9)= (9 choose 8) ˣ \((0.9)^8\) ˣ \((0.1)^1\) + (9 choose 9) ˣ \((0.9)^9\) ˣ \((0.1)^0\)≈ 0.5749

where (9 choose 8) and (9 choose 9) are the number of ways to choose 8 and 9 homes out of 9, respectively.

At most 2 of the 9 homes do not have large-screen TVs.The probability of at most 2 homes not having large-screen TVs is the sum of the probabilities of X = 0, X = 1, and X = 2:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)= (9 choose 0) ˣ\((0.9)^0\) ˣ\((0.1)^9\) + (9 choose 1) ˣ \((0.9)^1\) ˣ \((0.1)^8\) + (9 choose 2) ˣ (0.9)² ˣ (0.1)⁷≈ 1.3082e-06

where (9 choose 0), (9 choose 1), and (9 choose 2) are the number of ways to choose 0, 1, and 2 homes out of 9, respectively.

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A recommended way to cope when facing a high-turbulence environment is to encourage inflexibility by freezing a product concept until the last possible moment.
True False

Answers

Finally, they need to be able to collaborate and work together to achieve common goals.

FalseA recommended way to cope when facing a high-turbulence environment is not to encourage inflexibility by freezing a product concept until the last possible moment because such a strategy is inappropriate when dealing with complex, dynamic, and unpredictable environments. An environment is said to be high-turbulence when it is volatile, uncertain, complex, and ambiguous (VUCA). It is a challenging and unstable environment that can be difficult to navigate.

Companies that operate in high-turbulence environments must be agile, adaptable, and innovative to survive .A high-turbulence environment can present both opportunities and threats to businesses. Companies that can respond quickly and effectively to changes in the environment can gain a competitive advantage, while those that cannot may struggle or fail. To cope with the challenges of high-turbulence environments, businesses need to be flexible, adaptable, and innovative. They need to be able to respond quickly and effectively to changes in the environment, whether they are opportunities or threats.To be successful in high-turbulence environments, businesses need to embrace change and be willing to experiment with new ideas and concepts.

They need to be able to pivot quickly if their initial strategy does not work. They also need to be willing to take calculated risks and learn from their mistakes.

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What is the volume of this rectangular prism?
3
cn
om
5
cm
4

What is the volume of this rectangular prism?3cnom5cm4

Answers

Answer:

1

Step-by-step explanation:

\(v = whl\)

1 = 5/4 x 4/3 x 3/5

The __________ shows the number of data items with values less than or equal to the upper class limit of each class.

Answers

Answer: Cumulative frequency distribution

Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)

blood types refer to exercise 75. how surprising would it be to get more than 4 adults with type o blood in the sample? calculate an appropriate probability to support your answer

Answers

The probability is greater than 5%, it is not unlikely to obtain more than adults with blood type p(>4) =0.1402=14.02% and hence the result is not surprising.

In statistics, probability is the ratio of a number of possibilities in an entire sample of equal progression that produce a specific occurrence to the entire number of alternative possibilities.

Given  that n=7 p=0.44, we can use the binomial probability

\(P (X=k)= \left \ {n} \atop {k}} \right. * p^k* (1-p)^n^-^k\left\)

P(X=5)=\(\left \ {7} \atop {5}} \right. *(0.44)^5*(0.66)^7^-^5\) ≈ 0.10861

P(X=6)= \(\left \ {7} \atop {6}} \right. *(0.44)^6*(0.66)^7^-^6\)0.0284

P(X=7)= \(\left \ {7} \atop {7}} \right. *(0.44)^7*(0.66)^7^-^7\) ≈ 0.00321

P(X>4= P(X=5) + P(X=6)+ P(X=7)

= 0.1086+0.0284+0.0032

=0.1402

=14.02%

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3.
Use the Pythagorean Theorem or knowledge on special right triangles to
find the missing variable in the following triangles.
Part A:
Part B:
45°
9
30v2
45°
30V2
b

3.Use the Pythagorean Theorem or knowledge on special right triangles tofind the missing variable in

Answers

Answer:

Part A: \(l = 60\), Part B: \(b = \frac{9\sqrt{2}}{2}\)

Step-by-step explanation:

The Pythagorean Theorem determines the length of the hypotenuse of right triangle (\(r\)) by means of following formula:

\(r^{2} = x^{2}+y^{2}\) (1)

Where \(x\), \(y\) are respective lengths of each leg.

Now we proceed to solve on each triangle:

Part A: (\(r = l\), \(x = y = 30\sqrt{2}\))

\(l^{2} = (30\sqrt{2})^{2}+(30\sqrt{2})^{2}\)

\(l^{2} = 3600\)

\(l = 60\)

Part B: (\(r = 9\), \(x = b\), \(y = \frac{9\sqrt{2}}{2}\))

\(9^{2} = b^{2}+\left(\frac{9\sqrt{2}}{2} \right)^{2}\)

\(81 = b^{2}+\frac{81}{2}\)

\(b^{2} = \frac{81}{2}\)

\(b = \frac{9\sqrt{2}}{2}\)

So please help me with this!!

So please help me with this!!

Answers

Answer:

The slope is undefined.

Hence, option C is true.

Step-by-step explanation:

The graph represents a vertical line.

We know that the slope of a vertical line is undefined.

Verification:

Taking two points

(0, -2)

(0, -4)

Finding the slope between (0, -2) and (0, -4)

slope = m = y₂-y₁ / x₂-x₁

                = [(-4-(-2))] / [(0-0) ]

                = [-4+2] / 0

                 = -2 / 0

                  = ∞

Thus, the slope is undefined.

Hence, option C is true.

Joe deposits $500 in an account
with 3% interest compounded
quarterly for a period of 5 years.
What expression would you type
into the calculator to calculate the
total amount of money Joe will
have after the 5 year period?
500 e(-03)(5)
500(1+.03)4(5)
500(1+3)5
500(1+.03/4)(4)(5)

Answers

Answer:

  D)  500(1 +.03/4)^(4(5))

Step-by-step explanation:

You want to know the expression you would input to a calculator to find the money Joe will have in his account from a $500 deposit earning 3% interest compounded quarterly for 5 years.

Account value

The value of the account is given by the formula ...

  A = P(1 +r/n)^(n·t)

where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

Filling in the given values, you would want your calculator to evaluate ...

  500(1 +.03/4)^(4(5)) . . . . . . . matches choice D

__

Additional comment

The attachment shows a couple of different calculator inputs that could be used to find the account value. Note that the product (4)(5) is the exponent of the base (1 +.03/4). This calculator uses the caret (^) key to open the exponent expression.

The calculator also has a "future value" function that will compute the same result.

The value in the account will be $580.59.

<95141404393>

Joe deposits $500 in an accountwith 3% interest compoundedquarterly for a period of 5 years.What expression

a sample of adults was asked to indicate the amount of money, in dollars, they would be willing to spend on a wedding gift. when a histogram was constructed based on the responses given by each adult, most of the dollar amounts were on the larger side, with only a few dollar amounts on the smaller side. the mean of the distribution was $174, and the median was $205. from this information, we can infer the distribution has a shape that is

Answers

The distribution is positively skewed or right-skewed.

From the given information, we can infer that the distribution of the dollar amounts for wedding gifts is skewed to the right or positively skewed.

The mean ($174) is smaller than the median ($205), indicating that the distribution is not symmetric. In a symmetric distribution, the mean and median would be approximately equal.

Since most of the dollar amounts were on the larger side and only a few dollar amounts were on the smaller side, this suggests that the majority of respondents were willing to spend higher amounts on wedding gifts. As a result, the tail of the distribution extends towards the larger values, causing the distribution to be skewed to the right.

Therefore, the distribution is positively skewed or right-skewed.

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A magnifying glass with a focal length of +4 cm is placed 3 cm above a page of print. (a) At what distance from the lens is the image of the page? (b) What is the magnification of this image?

Answers

Given that a magnifying glass with a focal length of +4 cm is placed 3 cm above a page of print.

The distance from the lens to the image of the page is 12 cm, and the magnification of the image is -4.

We have to find out the distance from the lens to the image of the page and the magnification of the image.

(a) The distance from the lens to the image of the page:

As we know that the lens formula is `1/f = 1/v - 1/u` where;

f = focal length of the lens

v = distance of image from the lens

u = distance of object from the lens.

For a converging lens, the value of 'f' is taken as a positive (+) quantity.

Substituting the given values, we have;

f = +4 cm

v = ?

u = 3 cm

Hence, we have to find out the distance from the lens to the image of the page using the lens formula;\(1/4 = 1/v - 1/3= > 3v - 4v = -12= > v = +12/-1= > v = -12 cm\)

The negative value of 'v' indicates that the image is formed on the same side of the lens as the object.

The distance from the lens to the image of the page is 12 cm.

(b) The magnification of the image: Magnification (m) is defined as the ratio of the height of the image (h') to the height of the object (h);

m = h'/h

We know that the formula of magnification is;

m = v/u

Substituting the given values, we get;

m = -12/3

= -4T

he magnification of the image is -4.

This indicates that the image is virtual, erect, and 4 times the size of the object.

As a result, the distance from the lens to the image of the page is 12 cm, and the magnification of the image is -4.

The magnifying glass forms a magnified, virtual, and erect image of the object at a position beyond its focal length.

The magnification of the image produced is directly proportional to the ratio of the focal length of the lens to the distance between the lens and the object.

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Which of the following interpretations for a 95% confidence interval is(are) accurate?
(a) The population mean will fall in a given confidence interval 95% of the time.

(b) The sample mean will fall in the confidence interval 95% of the time.

(c) 95% of the confidence intervals created around sample means will contain the population mean.

(d) All three statements are accurate.

Answers

The correct interpretation for a 95% confidence interval is (c) 95% of the confidence intervals created around sample means will contain the population mean.

The confidence interval is a range of values that has been set up to estimate the value of an unknown parameter, such as the mean or the standard deviation, from the sample data. Confidence intervals are usually expressed as a percentage, indicating the probability of the actual population parameter falling within the given interval. Therefore, a 95% confidence interval, for example, indicates that we are 95% confident that the population parameter lies within the interval range.

The following interpretations for a 95% confidence interval are accurate:(a) The population mean will fall in a given confidence interval 95% of the time. This interpretation is incorrect because the population parameter is fixed, and it either falls within the confidence interval or it does not. Therefore, it is incorrect to say that it will fall within the interval 95% of the time.

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There are 25 students performing in the holiday concert. Of the students, 10 are boys. What percent represents the portion of students in the holiday concert that are boys?

Answers

Answer:

40%

Step-by-step explanation:

Answer:

10/25=0.4

0.4= 40%

Step-by-step explanation:

Find the exponential form of the complex number \[ e^{17\pi i/60} e^{27\pi i/60} e^{37\pi i /60} e^{47 \pi i /60} e^{57 \pi i/60}\]with proof

Answers

the exponential form of the complex number \[ e^{17\pi i/60} e^{27\pi i/60} e^{37\pi i /60} e^{47 \pi i /60} e^{57 \pi i/60}\]

= (2+\(\sqrt{3}\)) \(e^3^7^\pi^ i^/^6^0.\)

How is the exponential form calculated?

\(e^1^7^\pi ^i/^6^0\) + \(e^2^7^\pi^ i^/^6^0\)+⋯+\(e^5^7^\pi ^i^/^6^0\)

=\(e^1^7^\pi ^i^/^6^0\)(1+\(e^\pi^ i^/^6\)+....+\(e^4^\pi ^i^/^6\))

=\(e^1^7^\pi ^i^/^6^0\) (1−\(e^5^\pi ^i^/^6\)) ÷ (1−\(e^\pi ^i^/^6\))

=\(e^1^7^\pi ^i/^6^0\) (\(\frac{1}{2}\)(2+\(\sqrt{3}\)) + \(\frac{1}{2}\)(3+2\(\sqrt{3}\))i)

=(2+\(\sqrt{3}\))e17πi/60(12+(\(\sqrt{3}\)/ \(2\)) i )

=(2+\(\sqrt{3}\))\(e^1^7^\pi ^i^/^6^0\) \(e^\pi ^i^/^3\)

=(2+\(\sqrt{3}\)) \(e^3^7^\pi^ i^/^6^0.\)

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Is sin(sin^-1x) = sin-1(sinx) an identity? Why or why not?

Answers

It should be noted that sin(sin^-1x) = sin-1(sinx) is not an identity.

What is identity?

It should be noted that an identity simply means an equation that is always true no matter the values that are substituted.

In this case, should be noted that sin(sin^-1x) = sin-1(sinx) is not an identity. It's simply the inverse of the sine function.

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help i don't under stand geometry​

help i don't under stand geometry

Answers

Answer:

The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.

Step-by-step explanation:

1:Determine what you need to calculate to solve the problem. In some cases, you may need a length; in others, an area or angle measure. ...

2:Draw a diagram. Sometimes a straightedge, compass, protractor, or some combination of these tools can be helpful. ...

3:Record all appropriate measurements. ...

4:Pay attention to units. ...

This should help you understand the subject. May i have brainlyest? Have a good day.

true or false: suppose on july 1, 2014, the local government in your town passed a law outlawing the sale of high-calorie foods. because these data include cross sections from both before and after the government policy, this type of data set enables you to analyze how the relationships between the variables changed over time.

Answers

The given statement " suppose on july 1, 2014, the local government in your town passed a law outlawing the sale of high-calorie foods " is true because that a data set containing observations from before and after a policy intervention enables researchers to analyze how the relationships between variables changed over time

The passage of a law outlawing the sale of high-calorie foods in a town is an example of a policy intervention. When impact analysis of such an intervention on variables such as food consumption and availability, it is important to have data from both before and after the policy was implemented.

A data set containing observations from before and after the local government passed a law outlawing the sale of high-calorie foods would enable researchers to analyze how the relationships between variables changed over time, specifically in relation to the consumption and availability of high-calorie foods. By comparing data from before and after the policy implementation, researchers could investigate whether the policy had an impact on the consumption and availability of high-calorie foods, and if so, how this impact changed over time.

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Shauna is making accessories for the soccer team. She uses 843.81 inches of fabric on headbands for 29 players and 4 coaches. She also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

the  25.57 inches and 9.64 inches is the fabric used for headband and wristband for each player

Step-by-step explanation:

The computation of the fabric used on a headband and wristband for each player is as follows:

For headband

= 843.81 inches ÷ (29 players + 4 coaches)

= 843.81 inches ÷ 33

= 25.57 inches

And, for the wristband, it would be

= 279.56 inches ÷ 29 players

= 9.64 inches

Hence, the  25.57 inches and 9.64 inches is the fabric used for headband and wristband for each player

let g be a group and |g| 5 21. if g [ g and g14 5 e, what are the possibilities for |g|?

Answers

The possibilities for |g| are:

If g is an abelian group: Any positive integer less than or equal to 21.If g is a non-abelian group: 14 or 21.    Find out the possibilities for lgl?

   Lets analyze the possibilities step by step.

"|g| ≤ 21": This means the order of the group g (denoted by |g|) can be any positive integer less than or equal to 21.

"g [ g": This notation indicates the commutator subgroup of g, which is the subgroup generated by the commutators [a, b] = aba⁻¹b⁻¹, where a and b are elements of g. Since the commutator subgroup is always a normal subgroup of g, we can consider this as g modulo its center."g¹⁴ = e": This implies that g raised to the 14th power (g¹⁴) equals the identity element (e) of the group.

Given this information, we can narrow down the possibilities for |g|:

If g [ g = {e}: If the commutator subgroup of g is just the identity element, then g is an abelian group. In this case, g raised to any power, including g¹⁴, will still be the identity element. Therefore, |g| can be any positive integer less than or equal to 21.

If g [ g ≠ {e}: If the commutator subgroup of g is not just the identity element, then g is a non-abelian group. In this case, g¹⁴ = e implies that the order of g¹⁴ divides |g|. Therefore, |g| must be a multiple of 14. However, since |g| ≤ 21, the possible values for |g| are 14 and 21.

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Line a is parallel to line b. If the
measure of 27 is 114°, what is the
measure of 43?

Line a is parallel to line b. If themeasure of 27 is 114, what is themeasure of 43?

Answers

Answer is angle 3 is 114 degrees

Explanation

Angle 3 is a corresponding angle to angle 7, which means congruent or the same as per the Corresponding Angle Theorem

which was EAV-Secure Prove the opposite - i.e. if G is not a PRG, then 3.17 cannot be EAV-secure. Let G be a pseudorandom generator with expansion factor ℓ. Define a private-key encryption scheme for messages of length ℓ as follows: - Gen: on input 1n, choose uniform k∈{0,1}n and output it as the key. - Enc: on input a key k∈{0,1}n and a message m∈{0,1}ℓ(n), output the ciphertext c:=G(k)⊕m. - Dec: on input a key k∈{0,1}n and a ciphertext c∈{0,1}ℓ(n), output the message m:=G(k)⊕c. A private-key encryption scheme based on any pseudorandom generator. THEOREM 3.18 If G is a pseudorandom generator, then Construction 3.17 is a fixed-length private-key encryption scheme that has indistinguishable encryptions in the presence of an eavesdropper. PROOF Let Π denote Construction 3.17. We show that Π satisfies Definition 3.8. Namely, we show that for any probabilistic polynomial-time adversary A there is a negligible function negl such that Pr[PrivKA,Πeav​(n)=1]≤21​+neg∣(n)

Answers

To prove the opposite, we need to show that if G is not a pseudorandom generator (PRG), then Construction 3.17 cannot be EAV-secure.

Assume that G is not a PRG, which means it fails to expand the seed sufficiently. Let's suppose that G is computationally indistinguishable from a truly random function on its domain, but it does not meet the requirements of a PRG.

Now, consider the private-key encryption scheme Π described in Construction 3.17 using G as the pseudorandom generator. If G is not a PRG, it means that its output is not sufficiently pseudorandom and can potentially be distinguished from a random string.

Given this scenario, an adversary A could exploit the distinguishability of G's output and devise an attack to break the security of the encryption scheme Π. The adversary could potentially gain information about the plaintext by analyzing the ciphertext and the output of G.

Therefore, if G is not a PRG, it implies that Construction 3.17 cannot provide EAV-security, as it would be vulnerable to attacks by distinguishing the output of G from random strings. This contradicts Theorem 3.18, which states that if G is a PRG, then Construction 3.17 achieves indistinguishable encryptions.

Hence, by proving the opposite, we conclude that if G is not a PRG, then Construction 3.17 cannot be EAV-secure.

To know more about pseudorandom generator refer to-

https://brainly.com/question/33563626

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1Q _____is neither a prime number nor a composite number
2Q the only even prime number is ______.
3Q A prime number has only_____ factors,______and_______.
4Q _______is the smallest prime number is_____.
5Q there are ______ prime numbers less then 20.

Answers

Answer for 1) One
Answer for 2) Two
Answer for 3) A prime number has only two factors, one and two.
Answer for 4) Two is the smallest prime number [I don’t understand that wording so that’s the best I can come up with]
Answer for 5) There are eight prime numbers less than 20.
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