A triangle has two side lengths of 6.5 inches and 2.75 inches. Which of the following side lengths could be the third side?
A.) 2.5 inches
B.) 3.75 inches
C.) 5.5 inches
D.) 9.25 inches

The integer 15 would best represent points given for good behavior.

We have,

In situation B,

The integer 15 represents a positive quantity or value that is given or awarded to individuals for exhibiting good behavior.

It can be interpreted as a form of positive reinforcement or recognition for demonstrating desirable conduct.

For example, in a reward system implemented in a classroom or organization, students may earn points for following rules, completing tasks, or displaying positive behaviors.

Each point signifies progress or achievement, and when students accumulate a certain number of points, they may be eligible for rewards or incentives.

The integer 15, in this context, serves as a numerical representation of the rewards or points associated with good behavior.

It indicates a positive outcome and reinforces the desired conduct by providing tangible recognition or benefits.

Thus,

The integer 15 would best represent points given for good behavior.

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Ans: 52 cm²

Ok done. Thank to me >:333

Answer:

23

Step-by-step explanation:

Answer:

12 ÷ 3/4 = 12 × 4/3 = 48/3 = 16

Step-by-step explanation:

We know that each jar contains 3/4 of a pound of jelly. To find out how many jars we can fill with 12 pounds of jelly, we need to divide 12 by 3/4.

To divide by a fraction, we can flip the fraction and multiply.

So:

12 ÷ 3/4 = 12 × 4/3 = 48/3 = 16

Therefore, we can fill 16 jars with 12 pounds of jelly.

Answer:

1/16

Step-by-step explanation:

= 3/4 divided by 12

= 3/4*1/12

= 1/16

The Perimeter of quadrilateral ABCD is calculated as: AB + BC + CD + AD = 5 + 4 + 5 + 4 = 18 units.

The perimeter of the quadrilateral ABCD is calculated as the sum of all its side, which is:

Perimeter = AB + BC + CD + AD

Given the following:

A(-2,1),

B(3,1)

C(3,-3)

D(-2,-3)

Find the length of each sides as shown below:

AB = |-2- 3| = |-5| = 5 units.

BC = |1 - (-3)| = 4 units

CD = |3 - (-2)} = 5 units

AD = |1 - (-3)| = 4 units

Perimeter of quadrilateral ABCD = 5 + 4 + 5 + 4

= 18 units.

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Using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean.

We can use the empirical rule, also known as the 68-95-99.7 rule. According to this rule, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this case, we want to know what percentage of apples have diameters that are no more than 6.44cm. To find out, we need to determine how many standard deviations this value is from the mean.
First, we calculate the z-score (number of standard deviations from the mean) using the formula z = (x - μ) / σ, where x is the diameter we're interested in, μ is the mean, and σ is the standard deviation.
z = (6.44 - 7.2) / 0.38 = -2
This means that 6.44cm is 2 standard deviations below the mean.
Using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Therefore, we can conclude that approximately 95% of the apples have diameters that are greater than 6.44cm, and the remaining 5% have diameters that are no more than 6.44cm.
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The midrange of a distribution, defined as the average of the maximum and minimum values, is not robust to outliers and extreme skew. It is influenced by extreme values, resulting in an inflated or deflated measure of central tendency. Therefore, it is not a reliable statistic in the presence of outliers and extreme skew.

The midrange is calculated by taking the average of the maximum and minimum values in a distribution. While it provides a simple measure of central tendency, it is sensitive to outliers and extreme skew.

Outliers are extreme values that fall far outside the typical range of the data. When outliers are present, they can significantly affect the maximum and minimum values, leading to an inflated or deflated midrange. For example, if there is a single extremely large or small value, the midrange will be pulled towards that extreme, giving a distorted representation of the central tendency.

Similarly, extreme skewness, where the distribution is heavily skewed towards one tail, can also impact the midrange. In such cases, the minimum or maximum value may be heavily influenced by the skewed portion of the distribution, leading to an inaccurate estimate of the central tendency.

In contrast, robust measures of central tendency, such as the median or trimmed mean, are less affected by outliers and extreme skew. They are designed to be more resistant to extreme values and provide a more reliable estimate of the typical value in a distribution.

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If Mrs. Li ate 1/3 of the pie, that means there are 2/3 of the pie left. Mr. Li then ate 2/9 more than Mrs. Li. To find out how much he ate, we first need to add 2/9 to 1/3.

We can find a common denominator by multiplying the denominators of 1/3 and 2/9, which is 9. Thus, 1/3 can be rewritten as 3/9, and 2/9 can be left as is. Adding them together gives us 5/9. Therefore, Mr. Li ate 5/9 of the pie. To find out how much pie is left, we can subtract 5/9 from the 2/3 that was left after Mrs. Li ate her portion. This gives us 1/9 of the pie left, which is the answer to the question.

Mrs. Li had 2/3 of the pie left after eating 1/3.

Mr. Li ate 2/9 more pie than Mrs. Li, so he ate:

(2/9) * (1/3) = 2/27 of the pie.

Together, Mrs. and Mr. Li ate:

1/3 + 2/27 = 9/27 + 2/27 = 11/27 of the pie.

Therefore, they had 1 - 11/27 = 16/27 of the pie left.

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ㅠ is not located between these two numbers on the number line.

The values 3 and √9/3 are located at 3 and √3 on the number line, respectively.

The value π is not located between these two numbers on the number line.

π is approximately 3.14, which is between 3 and 4 on the number line, but it is not between 3 and√3.

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If those two given angles combined = 180, then u and v are parallel.

(91 + x) + 95 = 180

186 + x = 180

x = 180-186

x = -6

When x = -6, lines u and v are parallel.

Therefore, the probability that Sergio's number is larger than the sum of the two numbers chosen by Tina is 11/15, or about 0.733.

We can approach this problem by finding the probability of Sergio's number being less than or equal to the sum of Tina's numbers, and then subtracting this probability from 1.

The total number of ways for Tina to select two distinct numbers from the set is 6 choose 2, which is 15. Each pair of numbers has an equal chance of being selected, so we can assume that each pair has probability 1/15 of being selected.

Now, for each pair of numbers Tina selects, there is a range of numbers that Sergio can select such that his number is greater than the sum of Tina's numbers. Specifically, Sergio's number must be greater than the smaller of Tina's numbers and less than or equal to the largest number in the set.The length of this shaded region is 6 - 2 = 4. Therefore, the probability of Sergio's number being greater than the sum of Tina's numbers for a given pair of numbers is 4/6 = 2/3.

The probability of Tina selecting any particular pair of numbers is 1/15, so the probability of Sergio's number being greater than the sum of Tina's numbers for that pair is (2/3)(1/15) = 2/45.

To find the total probability, we sum up the probabilities for all pairs of numbers:

(2/45) + (2/45) + (2/45) + (2/45) + (2/45) + (2/45) = 12/45 = 4/15

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If student's tuition was $1500, if a scholarship paid for 4/5

of the tuition then $1200 is the scholarship

Given that a student's tuition was $1500

If a scholarship paid for 4/5 of the tuition

We need to find the how much was the scholarship

To find this we have to multiply 4/5 with $1500

4/5×1500

$1200

Hence, if student's tuition was $1500, if a scholarship paid for 4/5

of the tuition then $1200 is the scholarship

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Step-by-step explanation:

Depends on how you read it :

x = the number

1/2 x -2 = 4

x = 12             <==== I suspect this is the answer wanted

or  

1/2 ( x-2)  = 4

x = 10  

Answer:

The experimental probability of the next muffin sold being a pumpkin spice muffin is 1/5.

Step-by-step explanation:

The experimental probability of the next muffin sold being a pumpkin spice muffin can be calculated as the ratio of the number of pumpkin spice muffins sold to the total number of muffins sold. In this case, 4 out of 20 muffins were pumpkin spice. So the experimental probability can be expressed as 4/20 or simplified to 1/5.

Answer:

5x - 2y = 16

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 3 ) and (x₂, y₂ ) = (4, 2 )

m = [tex]\frac{2-(-3)}{4-2}[/tex] = [tex]\frac{2+3}{2}[/tex] = [tex]\frac{5}{2}[/tex] , then

y = [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, 2 )

2 = [tex]\frac{5}{2}[/tex] (4) + c = 10 + c ( subtract 10 from both sides )

- 8 = c

y = [tex]\frac{5}{2}[/tex] x - 8 ← equation in slope- intercept form

multiply through by 2 to clear the fraction

2y = 5x - 16 ( subtract 5x from both sides )

- 5x + 2y = - 16 ( multiply through by - 1 )

5x - 2y = 16 ← equation in standard form

The question presents a scenario where a fish is hovering at a certain depth below sea level, and then descends at a certain rate for a certain duration. So, Brenda is correct because her answer represents the new position of the fish in relation to sea level after the descent.

Brenda has provided an equation that represents the new position of the fish in relation to sea level after the descent. The equation is 2 times 8 + (negative 320) = 336. To determine if Brenda is correct, we need to understand the meaning of each term in the equation. The first term, 2 times 8, represents the distance the fish has descended, which is 16 feet (2 feet per second for 8 seconds).

The second term, negative 320, represents the initial depth of the fish below sea level. When we add these two terms together, we get the new depth of the fish below sea level, which is 336 feet.

Therefore, Brenda is correct because her answer represents the new position of the fish in relation to sea level after the descent. It is important to understand the meaning of each term in an equation to correctly interpret its result.

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Which of the following is an accurate definition for the power of a statistical test is C. The power of a statistical test refers to the probability of rejecting a false null hypothesis. This means that the test is able to correctly identify when there is a significant difference between two groups or conditions.

statistical tests are used to determine whether the results of an experiment are likely due to chance or whether there is a real effect. The null hypothesis states that there is no significant difference, while the alternative hypothesis states that there is. The power of a statistical test refers to the ability of the test to correctly reject the null hypothesis when it is false, and thus support the alternative hypothesis.

, the power of a statistical test is the probability of correctly rejecting a false null hypothesis, which indicates that there is a significant difference between two groups or conditions.

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A shade of paint, Orange Mango, can be made by mixing red paint and yellow paint in a ratio of 2:5. Teddy has 20 litres of red paint and 40 litres of yellow paint.The maximum volume of Orange Mango paint that Teddy can make is 24 litres.

The most quantity of Orange Mango paint that Teddy can make, we need to discover the proscribing thing that stops him from the usage of all of his red and yellow paint. In this method, we need to evaluate the ratio of pink-yellow paint that he has with the ratio of crimson-to-yellow paint that he desires. Here is how we try this:

The ratio of crimson to yellow paint that he has is 20:40, which may be simplified with the aid of dividing each side by means of 20 to get 1:2.

The ratio of crimson to yellow paint that he needs is 2:5, which can be simplified by dividing each aspect by using the finest commonplace element of 2 and 5, that's 1, to get 2:5.

To compare those ratios, we are able to pass-multiply them and notice which aspect is greater. In this approach, we multiply the numerator of one ratio via the denominator of the opposite ratio and compare the effects. Here is how we try this:

1/2 compared to 2/5

(1×5) compared to (2×2)

5 in comparison to 4

We can see that five is larger than 4, this means that the ratio of pink to yellow paint that he has is greater than the ratio of purple to yellow paint that he desires. This means that he has extra crimson paint than he desires, and consequently, purple paint is the restricting component.

To find out how much pink paint he can use, we need to discover how an awful lot yellow paint he wishes for every litre of purple paint. We can do that by way of dividing the numerator and denominator of the ratio of pink to yellow paint that he needs with the aid of the numerator of that ratio. Here is how we do this:

2/5 ÷ 2/1 = 2/5 × 1/2 = 1/5

This manner that for every litre of purple paint, he needs 0.2 litres of yellow paint. Since he has 20 litres of pink paint, he can use it all and multiply it with the aid of 0.2 to discover how much yellow paint he wishes. Here is how we do that:

20 × 0.2 = 4

This means that he needs 4 litres of yellow paint. Since he has 40 litres of yellow paint, he has more than enough and may use the handiest 4 litres.

To discover the most volume of Orange Mango paint that Teddy could make, we need to add up the volumes of purple and yellow paint that he makes use of. Here is how we do this:

20 + 4 = 24

With this approach, he could make 24 litres of Orange Mango paint.

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The maximum volume of Orange Mango paint that Teddy can make is 56 liters.

We have,

The ratio of red paint to yellow paint required to make Orange Mango paint is 2:5.

This means for every 2 liters of red paint, 5 liters of yellow paint are needed.

Teddy has 20 liters of red paint and 40 liters of yellow paint.

To determine the maximum volume of Orange Mango paint Teddy can make, we need to find which paint he has in excess and how much of the other paint he needs to use to create the mixture.

Teddy has 20 liters of red paint, which is equivalent to 20/2.5 = 8 units of the mixture (since 2+5=7 units are needed to make the mixture).

Teddy has 40 liters of yellow paint, which is equivalent to 40/2.5 = 16 units of the mixture.

Since Teddy has more yellow paint, the amount of Orange Mango paint he can make is limited by the amount of red paint he has.

Thus,

Teddy can make a maximum of 8 units of Orange Mango paint, which is equivalent to 8 x 7 = 56 liters of the mixture.

Therefore,

The maximum volume of Orange Mango paint that Teddy can make is 56 liters.

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The area of the shape in the figure, obtained by finding the areas of the component figures is; 31

A composite figure is a figure that is comprised of two or more simpler figures.

The areas of the squares can be found by summing the areas of the each unit squares where available as follows;

The number of squares in the rows 3 to 9 = 25 squares

The area for the squares in the  rows 3 to 9 = 25 square centimeters

The area of the parallelogram = Base length × Height

The base length  =  3 cm

The height of the parallelogram  = 2 cm

Area of the parallelogram = 3 cm × 2 cm = 6 cm²

The area of the figure = 25 + 6 = 31

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Answer:

Step-by-step explanation:

True-False questions consists of 2 possible answer, which are 50% each, so basically is Charlie was just guessing 201 questions, which means his possibility of getting everything correct is [tex]\frac{1}{2^2^0^1}[/tex], which is really small, his chance of getting 53,7% correct is [tex]\frac{1}{2^2^0^1 * 0.537}[/tex] which is roughly arround [tex]\frac{1}{2^2^0^0}[/tex]

Therefore, the projectile goes approximately 6.9 × 10^6 meters or 6,900 kilometers high.

Let's first convert the initial speed from km/hr to m/s to be consistent with the unit of acceleration due to gravity.

1.30×10^4 km/hr = (1.30×10^4 × 1000 m/km) / (3600 s/hr) = 3611.11 m/s

We can use the kinematic equation: Δy = v0t + 1/2at^2 to determine the maximum height reached by the projectile. At the highest point, the velocity is zero, so we can use the fact that v = v0 + at = 0 to find the time it takes to reach the maximum height.

v0 = 3611.11 m/s (initial velocity)

a = -9.81 m/s^2 (acceleration due to gravity)

t = -v0/a = -3611.11/(-9.81) = 367.97 s (time to reach maximum height)

Now we can use the time to find the maximum height reached:

Δy = v0t + 1/2at^2 = 3611.11 × 367.97 + 1/2 × (-9.81) × (367.97)^2 ≈ 6.9 × 10^6 meters

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Answer:

continuous is the answer cause the number of kittens in a pet store can't stay the same amount.

To find the area of the shaded region R enclosed by the graphs of y = e^(-x^2) in the first quadrant, you can use integration.

The integral represents the area under a curve between two x-values. In this case, we want the area in the first quadrant, so we need to integrate the function from x = 0 to some positive x-value.

The integral to find the area of R is given by:

A = ∫[0 to a] e^(-x^2) dx

Unfortunately, there is no elementary function to find the antiderivative of e^(-x^2) in terms of elementary functions. Therefore, the integral cannot be evaluated using simple algebraic methods.

However, the integral can be approximated using numerical methods or specialized techniques such as Gaussian quadrature or Monte Carlo methods. These methods can provide an approximation of the area of the shaded region R.

Alternatively, you can use software or graphing calculators that have built-in functions to find definite integrals to numerically approximate the area under the curve.

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a) The probability that a patient testing positive for HIV with this test is infected with it is approximately 73.96%

b) With this test, there is a 26.04% chance that a patient who tests positive for HIV is not actually infected.

c) The probability that a patient testing negative for HIV with this test is infected with it is approximately 0.18%.

d) The probability that a patient testing negative for HIV with this test is not infected with it is approximately 99.82%.

Gonna determine how likely something is gonna occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

Let's denote the events as follows:

A = Patient is infected with HIV

B = Patient tests positive for HIV

Given information:

P(A) = 0.08 (probability of a patient being infected with HIV)

P(B|A) = 0.98 (probability of testing positive given the patient is infected with HIV)

P(B|A') = 0.03 (probability of testing positive given the patient is not infected with HIV)

We need to find:

a) P(A|B) = Probability that a patient testing positive for HIV is infected with it.

b) P(A'|B) = Probability that a patient testing positive for HIV is not infected with it.

c) P(A|B') = Probability that a patient testing negative for HIV is infected with it.

d) P(A'|B') = Probability that a patient testing negative for HIV is not infected with it.

We can use Bayes' theorem to find these probabilities:

a) P(A|B)=P(B|A)*P(A)/P(B)

b) P(A'|B)=P(B|A')*P(A')/P(B)

c) P(A|B') = P(B'|A) * P(A) / P(B')

d) P(A'|B') = P(B'|A') * P(A') / P(B')

To find P(B), we can use the law of total probability:

P(B)=P(B|A)*P(A)+P(B|A')*P(A')

First, let's calculate P(B):

P(B)=P(B|A)*P(A)+P(B|A')*P(A')

     = 0.98 * 0.08 + 0.03 * (1 - 0.08)

     = 0.0784 + 0.0276

     = 0.106

Now, we can calculate the probabilities:

a) P(A|B)=P(B|A)*P(A)/P(B)

          = 0.98 * 0.08 / 0.106

          = 0.0784 / 0.106

          ≈ 0.7396 (or 73.96%)

b) P(A'|B)=P(B|A')*P(A')/P(B)

           = 0.03 * (1 - 0.08) / 0.106

           = 0.0276 / 0.106

           ≈ 0.2604 (or 26.04%)

c) P(A|B') = P(B'|A) * P(A) / P(B')

          = (1 - P(B|A)) * P(A) / (1 - P(B))

          = (1 - 0.98) * 0.08 / (1 - 0.106)

          = 0.02 * 0.08 / 0.894

          ≈ 0.0018 (or 0.18%)

d) P(A'|B') = P(B'|A') * P(A') / P(B')

           = (1 - P(B|A')) * (1 - P(A)) / (1 - P(B))

           = (1 - 0.03) * (1 - 0.08) / (1 - 0.106)

           = 0.97 * 0.92 / 0.894

           ≈ 0.9982 (or 99.82%)

Therefore:

a) The probability that a patient testing positive for HIV with this test is infected with it is approximately 73.96%

b) The probability that a patient testing positive for HIV with this test is not infected with it is approximately 26.04%.

c) The probability that a patient testing negative for HIV with this test is infected with it is approximately 0.18%.

d) The probability that a patient testing negative for HIV with this test is not infected with it is approximately 99.82%.

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The Area of the gable is 0.9 m²

Prudence's statement is not valid.

1. Convert 500 cm to meters:

Since 1 meter is equal to 100 centimeters,

So, 500 cm ÷ 100 = 5 meters

2. The formula for the area of a rectangle is Area = Length x Width.

Given the dimensions:

Length = 1.2 m

Width = 1.4 m

Area of one window = 1.2 m x 1.4 m = 1.68 m²

3. Calculate the area of the vent:

The formula for the area of a circle is Area = π x r².

Radius = (2.6 m) / 2 = 1.3 m

Area of the vent = 3.142 x (1.3 m)² ≈ 5.309 m²

4. Length = 1.1 m

Width = 1.6 m

Area of the rectangular part of the wall = 1.1 m x 1.6 m

= 1.76 m²

5. Calculate the area of the gable:

Given the dimensions:

Base = 0.6 m

Height = 1.8 m

Area of the gable = 0.5 m x 1.8 m = 0.9 m²

Prudence states that the area of the wall that must be painted is 14.42 m².

So, Area of the rectangular part of the wall + Area of the gable

= 1.76 m² + 0.9 m² = 2.66 m²

Therefore, Prudence's statement is not valid.

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The F test is a statistical test used to compare variances between two or more groups of data. It is often used in ANOVA (analysis of variance) to determine whether the means of three or more groups are significantly different. D. the raw score populations are normally distributed and the variances of the raw score populations are the same

Assumptions underlying the use of the F test include the normal distribution of raw score populations and the equality of variance between groups. The first assumption, that raw score populations are normally distributed, is important because the F test assumes that the population variances are normally distributed. If the distribution of the raw score population is not normal, the F test may not be appropriate.

The second assumption, that the variances of the raw score populations are equal, is also important. The F test assumes that the variance of the populations is equal, and if this assumption is violated, it may lead to inaccurate results. Therefore, the correct answer to the question is D, as both assumptions are required for the F test to be used accurately. If either assumption is not met, it may be necessary to use a different statistical test to analyze the data.

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The additional information for the figure is

First lets look at ASA congruence theorem

The ASA Triangle Congruence Theorem also known as the Angle-Side-Angle Congruence Theorem  states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

In the figure the included side is PR and one to the angle required that is given is angle SPR ≅ angle PRQ

The additional information will be angle SRP ≅ angle QPR

hence we have that

Angle =  angle SPR ≅ angle PRQ

Side = PR ≅ RP

Angle =  angle SRP ≅ angle QPR

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The height of the cylinder is 20 meters.

To find the height of the cylinder, we can use the formula for the volume of a cylinder, which is given by V = πr^2h, where V represents the volume, r represents the radius, and h represents the height.

In this case, we are given the radius as 4 meters and the volume as 803.84 cubic meters. We can substitute these values into the formula to solve for the height.

803.84 = π * 4^2 * h

Simplifying further, we have:

803.84 = 16πh

To isolate h, we can divide both sides of the equation by 16π:

h = 803.84 / (16π)

Using the approximation of π as 3.14, we can calculate:

h ≈ 803.84 / (16 * 3.14)

h ≈ 50.99

Therefore, the height of the cylinder is approximately 50.99 meters.

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Answer:

(c) n = 76

Step-by-step explanation:

a straight line is 180

the angle given is 104

180 - 104 = 76!!

your answer would be c!!