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

Answer:

22,566

Step-by-step explanation:

the answer can be determined by subtracting 90486 from 113052

113052 - 90486 = 22,566

m∠A = 105°

m∠B = 40°

m∠C = 35°

Given:

20) A circle with with a triangle inscribed

To find:

m∠A, m∠B and m∠C

To determine the above angles, we will apply the theorem:

inscribed angle = 1/2 (intercepted arc)

a) for m∠A:

inscribed angle = m∠A

intercepted arc = 210°

m∠A = 1/2(210)

m∠A = 105°

b) for m∠B:

inscribed angle = m∠B

intercepted arc = 80°

m∠B = 1/2(80)

m∠B = 40°

c) for m∠C:

inscribed angle = m∠C

intercepted arc = 70°

m∠C = 1/2(70)

m∠C = 35°

Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

16250 many different three-letter words—including nonsense words—have different letters in the next position.

Given that,

We have to find how many different three-letter words—including nonsense words—have different letters in the next position.

We know that,

The number of alphabets are 26

First letter has 26 choices.

Second letter can not be same has first letter so 25 choices.

Third letter can not be same has second letter so 25 choices.

So,

Total words = 26×25×25=16250

Therefore, 16250 many different three-letter words—including nonsense words—have different letters in the next position.

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The answer to the equation (-2-3)2 + (-1). (10-30) = 45.

Bracket, of, division, multiplication, addition, and subtraction is referred to as BODMAS. When describing how a mathematical statement behaves in a specific sequence, the BODMAS is utilised. The BODMAS is also known as PEDMAS, which stands for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction.

According to the BODMAS rule, brackets must be solved first before powers or roots (i.e., division, multiplication, addition, and lastly subtraction), and then the remaining operations. The solution is only accepted as accurate when the BODMAS rule or the PEDMAS rule are applied to an expression.

Using the rule of BODMAS solve the parentheses first:

= (-5)² - 1 (- 20)

= 25 + 20

= 45

Hence, the value of the expression (-2-3)² +(-1). (10-30) = 45.

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Answer: y=-2x+7

Step-by-step explanation:

we know that equation is y=mx+b

b=y intercept

x=the x coordinate

m=slope

y=y coordinate

then you can just fill it in from there . hope this helps

Answer:

Z=3×15+4=49°

Y=5×25+6= 131°

X=2×15+19= 49°

W=131°

Correct answer 4

The displacement of end d with respect to end a can be calculated using Hooke's Law and the formula: \(ΔL = (F * L) / (A * E),\) if these values are given, you can substitute them into the formula to find the displacement.

To determine the displacement of end d with respect to end a in an assembly made of 6061-T6 aluminum, we need to consider the given values of b = 480 mm and E = 68.9 GPa.

The displacement of end d with respect to end a can be calculated using Hooke's Law and the formula:

\(ΔL = (F * L) / (A * E),\)

where ΔL is the displacement, F is the force applied, L is the length of the assembly, A is the cross-sectional area, and E is the elastic modulus.

However, if these values are given, you can substitute them into the formula to find the displacement.

In summary, without the values for the force applied and the length of the assembly, it is not possible to determine the displacement of end d with respect to end a in an assembly made of 6061-T6 aluminum.

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Answer:

x-intercept: (3, 0)

y-intercept: (0, 2)

Step-by-step explanation:

For a function like:

y = f(x)

The x-intercept is the value of x when y = 0

the y-intercept is the value of y when x = 0

Also remember that an ordered pair is written as (x, y).

In this case we have the equation:

2*x + 3*y = 6

For the x-intercept, we just replace y by zero in the equation, then we get:

2*x + 3*0 = 6

Solving this for x, we get:

2*x = 6

x = 6/2 = 3

Then in this case, the ordered pair for the x-intercept is (3, 0)

For the y-intercept, we just need to replace x by zero in the equation:

2*0 + 3*y = 6

Solving this for y, we get:

3*y = 6

y = 6/3 = 2

Then the ordered pair for the y-intercept is (0, 2)

Answer:

Medium to Line AC

Altitude to Line AC

Bisector of Angle B

Perpendicular bisector of Line AC

Step-by-step explanation:

We can tell that the Medium here is from line AC to angle B. The line is connecting the angle to the middle of the line, making it the medium and altitude. It is also a bisector of angle B because it is directly in the middle of that angle. It is a perpendicular bisector to line AC because it forms a 90 degree angle on the bottom.

#teamtrees #WAP (Water And Plant)

Answer:

X=5

Exlanation

Sine and cosine are both equivalent to x/y, depending on the angle of the point on the circle.

To find two trigonometric functions equivalent to the ratio x/y, we can use the unit circle. Let's assume that x and y are the coordinates of a point on the circle, where x represents the horizontal displacement, and y represents the vertical displacement.

From this, we can find that the sine of the angle that x and y make with the x-axis is y, and the cosine of that angle is x. Therefore, the two trigonometric functions equivalent to the ratio x/y are sine and cosine.

We can write this as sin(angle) = y/y and cos(angle) = x/y. It's important to note that the value of the angle depends on the position of the point on the unit circle.

So, sine and cosine are both equivalent to x/y, depending on the angle of the point on the circle.

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The answer to the given question is "Random". This is a sample that was chosen at random by the caterer.

The sample in this scenario is the group of 5 entrees, 8 sides, and 3 desserts that the caterer has selected for the tasting. Since the caterer is selecting these items at random, this is a random sample. More specifically, since the caterer is using simple random sampling to select each category of items (entrees, sides, and desserts), the resulting sample is a simple random sample of the entire menu. This means that each item on the menu has an equal chance of being selected for the tasting, and the resulting sample is representative of the entire menu.

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Complete Question

A caterer is competing for a company's business, the caterer selects a simple random sample of 5 entrees, a simple random sample of 8 sides, and a simple random sample of 3 desserts for a tasting.

The sample is a                        .

(a) The values of Q1 as 2 and Q3 as 35.

(b) The dataset was arranged in ascending order, and since the total number of observations (n) is odd (13), the median was found to be the middle value, which is 5.

(c) The upper adjacent value was determined by adding 1.5 times the IQR to Q3, resulting in 87.5.

(d) The box plot of the data is illustrated below.

(a) Finding Q1 and Q3:

To determine Q1 and Q3 from the given dataset, we can start by arranging the data in ascending order: 0, 2, 3, 4, 4, 5, 6, 7, 35, 2677, 33478.

Next, we count the total number of observations (n) which is 13 in this case. We use the following formulas to calculate the position of Q1 and Q3:

Q1 = (1 * n) / 4

Q3 = (3 * n) / 4

Substituting the value of n into the formulas:

Q1 = (1 * 13) / 4 = 3.25 (approximately)

Q3 = (3 * 13) / 4 = 9.75 (approximately)

Now, we need to identify the values in the dataset that correspond to these positions. For Q1, we take the value at the position immediately below 3.25, which is 2. For Q3, we take the value at the position immediately below 9.75, which is 35.

Therefore, the values of Q1 and Q3 for the given dataset are 2 and 35, respectively.

(b) Finding the Median:

The median represents the middle value of a dataset when it is arranged in ascending or descending order. If the dataset has an odd number of observations, the median is the middle value itself. If the dataset has an even number of observations, the median is the average of the two middle values.

Arranging the given dataset in ascending order: 0, 2, 3, 4, 4, 5, 6, 7, 35, 2677, 33478.

Since the total number of observations (n) is odd (13), the median will be the middle value. In this case, the middle value is the 7th observation, which is 5.

Therefore, the median for the given dataset is 5.

(c) Finding the Adjacent Values:

Adjacent values, also known as whiskers in a boxplot, indicate the minimum and maximum values within a certain range. The range is determined using the interquartile range (IQR), which is the difference between Q3 and Q1.

For the given dataset, the IQR is calculated as follows:

IQR = Q3 - Q1 = 35 - 2 = 33

The adjacent values are determined by extending the whiskers 1.5 times the IQR below Q1 and above Q3.

Lower adjacent value = Q1 - 1.5 * IQR

Upper adjacent value = Q3 + 1.5 * IQR

Substituting the values:

Lower adjacent value = 2 - 1.5 * 33 = -47.5

Upper adjacent value = 35 + 1.5 * 33 = 87.5

Therefore, the adjacent values for the given dataset are -47.5 and 87.5.

(d) Determining the Correct Modified Boxplot:

To determine the correct modified boxplot, we need additional information or options to compare against the given dataset. Unfortunately, the options are not provided in your question. Please provide the options or any additional information related to the modified boxplot so that I can assist you further in choosing the correct one.

Remember, the boxplot is a graphical representation of the dataset using its quartiles, median, adjacent values, and outliers, if any. It provides a visual summary of the distribution and identifies any potential outliers or extreme values.

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Answer:

Born Without A Heart by Faouzia

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is pretty cringe better delete :/

The monthly interest rate you will be paying is approximately $2,583.33, and (b) the alternative loan is less attractive than the one from the car dealer, with the lender needing to charge an interest rate of approximately 2.31% to match the car dealer's rate.

(a) Calculation of the interest rate you will be paying every month:

Given:

The car will cost = $150,000

Amount to be paid upfront = 40%

Interest rate per annum = 2%

Loan tenure (no of years) = 5 years

Loan tenure (no of months) = 5 x 12 = 60 months

Using the formula to calculate the interest rate you will be paying every month:

Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)

Substituting the given values in the formula:

Interest Rate = (150000 x 2 x 5 / 100 + 150000) / 60

Interest Rate = (15000 + 150000) / 60

Interest Rate ≈ $2,583.33

Therefore, the interest rate that you will be paying every month is approximately $2,583.33.

(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer?

Given:

Interest rate per annum = 3%

Loan tenure (no of years) = 5 years

Loan tenure (no of months) = 5 x 12 = 60 months

Using the formula to calculate the interest rate you will be paying every month:

Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)

Substituting the given values in the formula:

Interest Rate = (150000 x 3 x 5 / 100 + 150000) / 60

Interest Rate = (22500 + 150000) / 60

Interest Rate ≈ $2,916.67

The monthly payment amount is higher than the car dealer's, so this loan is not more attractive than the one from the car dealer.

(ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?

Let x be the interest rate that the lender must charge.

Using the formula of compound interest, we can find the interest charged by the lender as follows:

150000(1 + x/12)^(60) - 10000 = 150000(1 + 0.02/12)^(60)

150000(1 + x/12)^(60) = 150000(1.0016667)^(60) + 10000

(1 + x/12)^(60) = (1.0016667)^(60) + 10000/150000

(1 + x/12)^(60) = (1.0016667)^(60) + 0.066667

Taking the natural logarithm on both sides:

60(x/12) = ln[(1.0016667)^(60) + 0.066667]

x ≈ 2.31%

Thus, the lender must charge approximately a 2.31% interest rate to be equivalent to the interest rate charged by the car dealer.

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The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

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The following questions:  a = 48 and b = 17, q = 2 and r = 14,  For the equation b = ax, with a = 23 and b = 368, x = 16.

1. For the given values of a = 48 and b = 17, q = 2 and r = 14.

To find q and r when dividing a number a by another number b using integer division (also known as Euclidean division), we can use the formula:

a = bq + r,

where q is the quotient and r is the remainder.

For the first question, with a = 48 and b = 17, we substitute the values into the formula:

48 = 17q + r.

To find q and r, we need to find the values that satisfy this equation. By performing the division, we find that q = 2 and r = 14.

2. For the equation b = ax, with a = 23 and b = 368, x = 16.

To find the value of x in the equation b = ax, we need to isolate x. We divide both sides of the equation by a:

b/a = x.

For the second question, with a = 23 and b = 368, we substitute the values into the equation:

368/23 = x.

Evaluating the division, we find that x = 16.

Therefore, in the equation b = ax, with a = 23 and b = 368, the value of x is 16.

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(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Answer:

31

Step-by-step explanation:

you are going to add, first your going to add all the numbers your going to start from the largest to the smallest number and that's how you would find your perimeter

The volume of the pyramid is 46.08 cubic feet. Rounded to the nearest tenth of a cubic foot, the volume is 46.1 ft³.

To find the volume of a pyramid with a square base, we can use the formula:

Volume = (1/3) * Base Area * Height

Given that the area of the base is 14.4 ft² and the height of the pyramid is 9.6 ft, we can substitute these values into the formula:

Volume = (1/3) * 14.4 ft² * 9.6 ft

Calculating this expression:

Volume = (1/3) * 138.24 ft³

Simplifying:

Volume = 46.08 ft³.

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Answer:

The order will be 2, 3, 4 & 1

Answer:

Juana lee Ann Jackson ryne

Step-by-step explanation:

can i have brainly

Answer:

x = 9

Step-by-step explanation:

Take the angle of LOJ (3x) and JOK (2x+12).

LOJ + JOK = LOK.

LOK = 57.

So, 3x + 2x + 12 = 57

3x + 2x = 5x

5x + 12 = 57

57 - 12 = 45

5x = 45

x= 9

The transformed tangent function is:

g(x) = -5*tan(x) - 3

We start with tangent function:

f(x) = tan(x).

First, we reflect our function over the x-axis, so we just have a change of sign as:

g(x) = -f(x).

Then, a horizontal stretch of scale factor of 5.

g(x) = -5*f(x)

Finally, a shift down of 3 units, this is:

g(x) = -5*f(x) - 3 = -5*tan(x) - 3

This is the transformed function.

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Answer:

(D) -2

Step-by-step explanation:

Plug in r=5 and s=-7 to the equation:

-6(5)+(-7)-(5)(-7)

Now we can solve and simplify:

-30-7+35

Combine:

-2

Hey there!

-6r + s - rs

= -6(5) + (-7) - 5(-7)

= -6(5) - 7 - 5(-7)

= -30 - 7 - 5(-7)

= -30 - 7 + 5

= -37 - (-35)

= -2

Therefore, your answer is: -2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Integer and rational

Step-by-step explanation:

\(-\sqrt{81}= \\\\-\sqrt{9^2}= \\\\-9\)

This is an integer, which also falls under the subset of rational numbers. Hope this helps!

Answer:

B & C

Step-by-step explanation:

-√81=-9

=-9/1

Three hours after they leave their starting point, the rate at which the distance between the two people is changing is 13 mi/h.

Distance is the actual path traveled by a moving particle in a given time interval. It is a scalar quantity.

To find the rate at which the distance between the two people is changing, we can use the concept of relative velocity. The relative velocity is the vector difference of the velocities of the two individuals.

Given that one person is moving west at 12 mi/h and the other is moving south at 5 mi/h, we can represent their velocities as:

Velocity of the person cycling west: v₁ = -12i (mi/h)

Velocity of the person jogging south: v₂ = -5j (mi/h)

Note that the negative sign indicates the direction opposite to their motion.

The distance between the two people can be represented as a vector from the starting point. Let's denote the distance vector as r = xi + yj, where x represents the displacement in the west direction and y represents the displacement in the south direction.

To find the rate of change of the distance between the two people, we differentiate the distance vector with respect to time (t):

dr/dt = (d/dt)(xi + yj)

Since the people start from the same point, the position vector at any time t can be expressed as r = xi + yj.

Differentiating with respect to time, we have:

dr/dt = (dx/dt)i + (dy/dt)j

The velocity vectors v₁ and v₂ represent the rates of change of x and y, respectively. Therefore, we have:

dr/dt = v₁+ v₂

Substituting the given velocities:

dr/dt = -12i - 5j

Now, we can find the magnitude of the rate of change of the distance vector:

|dr/dt| = |v₁+ v₂|

|dr/dt| = |-12i - 5j|

The magnitude of the velocity vector dr/dt is given by:

|dr/dt| = √((-12)² + (-5)²)

|dr/dt| = √(144 + 25)

|dr/dt| = √(169)

|dr/dt| = 13 mi/h

Therefore, three hours after they leave their starting point, the rate at which the distance between the two people is changing is 13 mi/h.

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Answer: 12

Step-by-step explanation: