Find the value of x. Then find the angle measures of the polygon.

Answer:

um.......

Step-by-step explanation:

The lenght of rectangular fence is 75 ft.

The length of total outer border of a geometrical figure is called Perimeter of that figure.

If the length of a rectangle is l and width is w then the perimeter P is given by,

P = 2(l + w)

Here in the given problem it is given that the width of the rectangle is = x - 2

and the lenght is triple of the width.

Then the length = 3(x - 2)

So the Perimeter is = 2 [3(x-2) + (x-2)] = 2[4(x-2)] = 8(x-2)

and it is also given that tbe Perimeter of the fence is 200 ft.

according to condition,

8(x-2) = 200

x - 2 = 800/2

x - 2 = 25

x = 25 + 2 = 27

So the lenght = 3(x-2) = 3(27-2) = 3*25 = 75 ft.

Learn more about Perimeter here -

https://brainly.com/question/19819849

#SPJ2

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

Know more about quadrilateral here:

https://brainly.com/question/29934440

#SPJ11

The final amount after 9 years on a sum of $800 at 6% per annum compounded monthly is $1370.

The "Compound-Interest" refers to the interest earned on both the principal amount and the accumulated interest from previous periods, resulting in exponential growth over time.

To calculate the compound interest earned for a principal amount "P", an annual interest rate "r", and a time period of "t" years compounded n times per year, we use the following formula: \(A = P(1 + \frac{r}{n} )^{nt}\),

where A is "final-amount" after "t" years,

In this case, the principal amount "P" is $800,

The "annual-interest-rate" (r) is = 6%, and the time period "t" is 9 years.

The interest is compounded monthly, which means n = 12 (12 months in a year).

Substituting the values,

We get,

⇒ A = 800(1 + 0.06/12)¹²ˣ⁹,

⇒ A = 800(1 + 0.005)¹⁰⁸,

⇒ A = 800 × (1.005)¹⁰⁸,

⇒ A ≈ 1370,

Therefore, the total amount after 9 years is approximately $1370.

Learn more about Compound Interest here

https://brainly.com/question/29335425

#SPJ1

The given question is incomplete, the complete question is

Find the final amount after 9 years for P=800 , r=6%, compounded monthly​.

Residual sum of squares (RSS) is a measure of the total amount of variance in a given data set that is not explained by a model.

It is equal to the sum of squared differences between the observed data values and the predicted values from the model. This measure is commonly used in regression analysis to evaluate the performance of a model. The formula for RSS is  RSS = Σ(y_i - ȳ)², where y_i is the observed value and ȳ is the predicted value.For example, let's say we have a data set of 10 observations (y_1, y_2, ...,y_10). We fit a linear regression model to the data set which predicts a value ȳ_i for each observation. The RSS for this model is calculated by summing the squared differences between the observed values (y_i) and the predicted values (ȳ_i) for each of the 10 observations. This yields the RSS, which is a measure of how much of the variance of the data set is not explained by the model.

Learn more about squares here:

https://brainly.com/question/28636336

#SPJ4

Answer:

\( - 50 + 8i\)

Step-by-step explanation:

\(1. \: - 35 - 15i + 21i - 9 - (6 - 2i) \\ 2. \: - 35 - 15i + 21i - 9 - 6 + 2i \\ 3. \: ( - 35 - 9 - 6) + ( - 15i + 21i + 2i) \\ 4. \: - 50 + 8i\)

The expectation of the quadratic function y = ax^2 + bx + c can be derived using the fact that E[g(X)] = ∑[g(X) * P(X=x)], where E represents the expectation, g(X) is the function of the random variable X, and P(X=x) is the probability of X taking on a specific value x.

To find the expectation of y, we substitute the quadratic function into the formula:

E[y] = ∑[(ax^2 + bx + c) * P(X=x)]

Expanding the expression and applying the linearity of the expectation:

E[y] = ∑[(ax^2 * P(X=x))] + ∑[(bx * P(X=x))] + ∑[(c * P(X=x))]

Simplifying further:

E[y] = a * ∑[x^2 * P(X=x)] + b * ∑[x * P(X=x)] + c * ∑[P(X=x)]

We can evaluate each summation separately, using the probability distribution of X and the values it can take on.

Finally, we calculate the expectation E[y] by substituting the evaluated summations back into the formula.

In conclusion, the expectation of the quadratic function y = ax^2 + bx + c can be derived by applying the formula E[g(X)] = ∑[g(X) * P(X=x)] and evaluating the summations using the probability distribution of X.

To learn more about Probability distribution, visit:

https://brainly.com/question/29204567

#SPJ11

Fallacies of relevance are types of logical fallacies that occur when an argument is presented without a relevant connection to the subject matter.

Rather than addressing the topic, these fallacies are aimed at the listener's feelings, emotions, or biases.There are many different types of fallacies of relevance, but some of the most common are ad hominem, straw man, appeal to authority, and red herring. Ad hominem, for example, is a type of fallacy that attacks the speaker rather than addressing the argument they are presenting.. It can undermine the quality of your argument and make you seem less credible.

However, if you want to describe a time when you used these fallacies, you might think back to a situation where you were arguing with someone and felt like you were losing the argument. In this case, you might have resorted to a fallacy of relevance to try to regain control of the conversation. In conclusion, it is important to avoid using fallacies of relevance in your arguments. Instead, focus on addressing the topic at hand and presenting logical, evidence-based arguments.

To know more about Fallacies visit:

brainly.com/question/32112262

#SPJ11

Answer:

Domain: {-2, -3, 6, 8, 10}

Range: {-5, 1, 7, 9}

Step-by-step explanation:

Given:

{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}

✔️Domain:

This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.

Thus, the domain can be represented as:

{-2, -3, 6, 8, 10}

✔️Range:

This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.

Range can be represented as:

{-5, 1, 7, 9}

The coordinates of the top right corner of the screen (1280, 720).

The coordinates usually consist of two or three values, depending on whether you're working with a two-dimensional or three-dimensional system.

To answer your question, we need to know which coordinate system we're using. In this case, we're assuming that we're dealing with a two-dimensional system, which means that we only need to specify two coordinates: the x-coordinate and the y-coordinate.

The top right corner of the screen is located at a specific position that can be determined by measuring the distance from the origin (usually the bottom left corner) to that point. If we assume that the origin is located at (0, 0), then we need to find the x and y values that correspond to the top right corner.

The x-coordinate of the top right corner depends on the width of the screen, which can vary depending on the device you're using. For example, if the width of the screen is 1280 pixels, then the x-coordinate of the top right corner would be 1280.

The y-coordinate of the top right corner also depends on the height of the screen, which again can vary depending on the device. If the height of the screen is 720 pixels, then the y-coordinate of the top right corner would be 720.

Therefore, the resulting coordinates would be (1280, 720).

To know more about coordinate here.

https://brainly.com/question/27749090

#SPJ4

Answer:

8

Step-by-step explanation:

40% is 4 times 10%, so the number is 4 times greater.

4 × 2 = 8

Answer: 8

Let's call the number we're trying to find "x".

We know that 10% of x is equal to 2.

So, we can set up the equation:

0.1x = 2

To solve for x, we can divide both sides by 0.1:

x = 2 ÷ 0.1

x = 20

Now that we know x is 20, we can find 40% of that number:

40% of 20 = 0.4 x 20 = 8

Therefore, 40% of that number is equal to 8.

7) 18x+27

I would love to answer number eight, but it's not clear. (I need a full pic of 8)

Answer:

See below.

Step-by-step explanation:

7.)

-9(-2x - 3)

18x + 27

8.)

Can't quite see it properly but I think its 2x - 17. It could be written as -17 + 2x.

The part (a) is that the probability that one car chosen at random will have a load less than 80 tons can be found using the normal distribution.

In part (a), we are given information about the distribution of the load of coal in each car. The load is normally distributed with a mean \(\mu = 81\) tons and a standard deviation \(\sigma = 0.6\) ton.

To find the probability that one car chosen at random will have a load less than 80 tons, we need to calculate the cumulative probability up to the value of 80 tons using the normal distribution.

The cumulative probability can be obtained by calculating the area under the normal curve up to the value of 80 tons. This area represents the probability of a car having a load less than 80 tons.

Using statistical software, a normal distribution table, or a calculator with the ability to compute cumulative probabilities for the normal distribution, we can find the corresponding probability.

Please note that to provide the exact probability value, the standard normal distribution can be used. The load values can be standardized by subtracting the mean and dividing by the standard deviation, and then the cumulative probability for the standardized value can be obtained.

Without further information or access to specific software, it is not possible to provide the exact probability value. However, by using the given mean and standard deviation, along with a standard normal distribution table or statistical software, you can calculate the probability that one car chosen at random will have a load less than 80 tons.

To know more about probability, refer here:

https://brainly.com/question/31828911

#SPJ11

The reasoning behind setting the upper and lower control limits plus or minus ±3σx (sigma subscript x overbar) from the mean is that we know that 99.73% of natural variation is contained within plus or minus ±3σx (sigma subscript x overbar), and thus any data point outside of the limits is likely due to assignable variation. Therefore, the correct option is D.

Control limits are the limits that specify the boundaries of expected variation. It is the limits of the average process and represents the inherent variability of the process. Control limits are determined using statistical techniques, usually through statistical process control software.

Upper and lower control limits are the points beyond which the plotted points on a control chart are considered out of control. They are set at a distance of 3 standard deviations (σ) from the mean. If plotted points fall outside the control limits, then the process is considered out of control.

The reasoning behind establishing the upper and lower control limits plus or minus ±3σx  is  from the mean is that that we know that 99.73% of natural variation is contained within plus or minus ±3σx (sigma subscript x overbar), and thus any data point outside of the limits is likely due to assignable variation.

This means that when a data point falls outside of these limits, it is likely not due to random variation but instead due to a specific, assignable cause. This helps identify potential issues in the process that need to be addressed. Hence, option D is the correct answer.

Learn more about Control limits:

https://brainly.com/question/16856270

#SPJ11

Answer:

it needed your to focus on school work , homework and work hard to make yourself feel ready

The two polygons are calculated to be similar and the correct statement to show the similarity is in option A

To show that the polygons are similar we show that

Comparing the angles

Comparing  the ratio of corresponding sides

10.5 / 7 = 12 / 8 = 6 / 4 = 9 / 6 = 3 / 2

This shows that option A is the correct choice

Read more on similar polygons here: https://brainly.com/question/1493409

#SPJ1

Answer: 256

Step-by-step explanation:

2^8=2*2*2*2*2*2*2*2=256

Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

Food items manufactured from (or containing) milk are referred to as dairy products or milk products (also known as lacticinia).

The cow, water buffalo, nanny goat, and ewe are the most popular dairy animals.

Dairy products include staples from Western grocery stores including yogurt, cheese, and butter.

A dairy is a place where dairy products are made .Various amounts of dairy products are consumed worldwide (see consumption patterns worldwide) .

After standardizing the fat content and optional homogenization or pasteurization, milk is produced in a variety of grades with the potential addition of the microorganisms Streptococcus lactis and Leuconostoc citrovorum.

Based on the type of product generated, milk can be divided into a number of distinct categories, including cream, butter, cheese, newborn formula, and yogurt.

Hence, Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

learn more about dairy products click here:

https://brainly.com/question/412166

#SPJ4

Answer:

20÷(-10)=-2 is the answer

The equation 38.28 + 0.42x = C will be used to represent te cost or bill of the rental car driven.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.

As in 3x + 5 = 15, for example.

There are many different types of equations, including linear, quadratic, cubic, and others.

The three primary forms of linear equations are point-slope, standard, and slope-intercept.

So, we know that:

An initial fee for the rental car: $38.28

Then, charge for every extra mile: $0.42 per mile

The number of miles driven is x.

Then C cost would be:

38.28 + 0.42x = C

Therefore, the equation 38.28 + 0.42x = C will be used to represent te cost or bill of the rental car driven.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ1

Correct question:

A rental car company charges a base fee of $38.28 plus $0.42 per mile driven. If x represents the number of miles driven, what equation could be used to find y, the total cost of the bill?

Since, we have a transversal cutting parallel lines, the ∠1 and ∠4 and ∠5 and ∠8 are congruent  by vertical angles theorem.

The angles opposite each other when two lines cross are vertically opposite angles.

In other words, vertical angles are a pair of opposite angles formed by intersecting lines.

Vertically opposite angles are congruent.

∠1≅∠4 (vertically opposite angles)

∠5 ≅∠8(vertically opposite angles)

Therefore, ∠1≅∠4  and ∠5 ≅∠8 by vertical angle theorem

learn more on vertical angles here: https://brainly.com/question/16987080

#SPJ5

a)The organization can expect to receive a total of 210 donations during the event.

b)Total expected amount $17,850.

a) To answer this question, we need to first find the expected number of online donations and the expected number of cash donations.

The total rate of donations is 7 donations per hour, so the rate of online donations is 0.7*7=4.9 donations per hour and the rate of cash donations is 0.3*7=2.1 donations per hour.

Using the Poisson distribution formula, we can find the expected number of online donations:

Expected number of online donations = (rate of online donations)*(duration of event in hours) = 4.9*30 = 147

Similarly, we can find the expected number of cash donations:

Expected number of cash donations = (rate of cash donations)*(duration of event in hours) = 2.1*30 = 63

Therefore, the organization can expect to receive a total of 147 + 63 = 210 donations during the event.

b) To find the expected amount of money the event will bring in, we need to first find the expected amount of money from online donations and the expected amount of money from cash donations.

The expected amount of money from online donations is simply the expected number of online donations multiplied by the amount of each donation, which is $100. So:

Expected amount of money from online donations = (expected number of online donations)*(amount of each online donation) = 147*$100 = $14,700

To find the expected amount of money from cash donations, we need to first find the probability of each cash donation being $25 or $75. Since the two possibilities are equally likely, the probability of a cash donation being $25 is 0.5 and the probability of a cash donation being $75 is also 0.5.

Using this information, we can find the expected amount of money from cash donations:

Expected amount of money from cash donations = (expected number of cash donations)*(expected amount of each cash donation) = 63*((0.5*$25) + (0.5*$75)) = 63*$50 = $3,150

Therefore, the event is expected to bring in a total of $14,700 + $3,150 = $17,850.
a) To calculate the expected number of donations during the 30-hour Dance Marathon, you can multiply the rate of donations per hour (7) by the total number of hours (30).

Expected donations = 7 donations/hour * 30 hours = 210 donations

b) To calculate the expected amount of money raised during the event, first determine the number of online and cash donations. Since 70% of donations are made online:

Online donations = 210 donations * 0.7 = 147 donations
Cash donations = 210 donations * 0.3 = 63 donations

Next, calculate the expected amount of money from online and cash donations. Since each online donation is $100:

Online donation total = 147 donations * $100 = $14,700

For cash donations, there is an equal probability of receiving $25 or $75. The expected value for a cash donation is the average:

Expected value of cash donation = ($25 + $75) / 2 = $50

Now, calculate the total expected amount from cash donations:

Cash donation total = 63 donations * $50 = $3,150

Finally, add the online and cash donation totals to get the expected amount raised:

Total expected amount = $14,700 + $3,150 = $17,850

Learn more about Poisson distribution at: brainly.com/question/17280826

#SPJ11

Answer:

x equals 10

Step-by-step explanation:

this is a version of the 3,4,5 rule which says that if the sides of a right triangle are 3 and 4, the hypotenuse is 5. Since 6 and 8 could be simplified to 3 and 4 respectively, you could make the hypotenuse (x) 10, which has the same relationship to 5 (division by 2). Hope this helps!

Answer:

x = 10

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Step-by-step explanation:

Hey there!!

It 's so simple.

You remember common property of triangle. (i.e sum of interior angle of a triangle is 180°)

So,

77° + 31° + x = 180°

x + 108° = 180°

x = 180° - 108°

Therefore the measure of angle x is 72°.

Hope it helps....

Statements → Proof

1. E is the midpoint of AC. → Given

2. AE ≅ EC → Definition of Midpoint

Midpoint is a point that divides a line segment into two equal parts.

3. AC bisects BD → Given

4. BE ≅ ED → Definition of Segment Bisector

A segment bisector is a segment that cuts another line segment into two equal parts.

5. ∠BEC ≅ ∠DEA → Vertical angles are congruent.

5. ∆DEA ≅ ∆BEC → SAS Theorem

Hence, to prove ∆DEA ≅ ∆BEC, we need the following theorems/definition:

a. Definition of Midpoint

b. Definition of Segment Bisector

c. Vertical angles are congruent.

Lastly, the theorem that will prove that the triangles are congruent is SAS Theorem.

\($5.00\)\(Hello\) \(There!\)

$\(5.00\)

Hopefully, that helps you!!

\(OwoSokka\)

Answer:

Mean: 20

Median: 16

Mode: No mode

Step-by-step explanation:

For the mean:

44 + 4 + 27 + 5 = 80

80/4 = 20

For the median:

5 + 27 = 32

32/2 = 16

For the mode:
None of the numbers are repeated.

She increased the percent she scored from the quiz to the test.

Percentage is defined as the representation of a part of a value per 100 which is represented with the symbol of %.

The test score of Lola in the mid-unit quiz in math = 21

The percentage of 21 point from the over all points;

= 21/27 ×100

= 2100/27

= 77.8%

The test score of Lola on the unit test = 66 points out of 80

The percentage of 66 points from the over all point ;

= 66/80×100

= 6600/80

= 82.5%

Therefore, it can be concluded that Lola increased the percent she scored from the quiz to the test.

Learn more about percentage here:

https://brainly.com/question/24304697

#SPJ1