The population of MeadowView is increasing at a rate of
325 people per year. If the population is 2500 today, what
will it be in four years?

Here, m∠GHI=72° and m∠LMN=108°. Therefore, option B is the correct answer.

Given that, m∠GHI=6x° and m∠LMN=9x°.

We need to find the measure of each angle.

Supplementary angles are thus a set of angles that complete each other to form 180°. Supplementary angles are those angles that sum up to 180°.

Now, 6x°+9x°=180°

⇒15x°=180°

⇒x°=12°

Thus, m∠GHI=6×12°=72° and m∠LMN=9×12°=108°.

Therefore, option B is the correct answer.

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Answer:

∠ 1 = 110° , ∠ 2 = 70°

Step-by-step explanation:

∠ 1 and ∠ 2 lie on a straight line and sum to 180° , that is

6x + 20 + 4x + 10 = 180

10x + 30 = 180 ( subtract 30 from both sides )

10x = 150 ( divide both sides by 10 )

x = 15

Then

∠ 1 = 6x + 20 = 6(15) + 20 = 90 + 20 = 110°

∠ 2 = 4x + 10 = 4(15) + 10 = 60 + 10 = 70°

According to the given image, angle AED is angle 4.

It's important to know supplementary angles sum 180°, or they form a straight angle.

In this case, the supplement of angle AED would be the angle DEF because they form a straight angle.

Additionally, another supplementary angle to 4 would be angle 5, for the same reason.

Answer:

sure just bring the question and it will be answered

The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

Given that,

The equation is 3x-8y=39.

We have to find the x- intercept and y- intercept of the equation.

We know that,

x/a + y/b = 1 is the intercept form of the line's equation. One of the key types of line equations is this one. In this equation, the sign of the intercepts also enables us to determine where the line is in relation to the coordinate axes.

To find the x- intercept of the equation.

We have to take y as 0.

3x-8(0)=39

3x=39

x=39/3

x=13

To find the y- intercept of the equation.

We have to take x as 0.

3(0)-8y=39

-8y=39

x=-39/8

Therefore, The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

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The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

Answer:

C

Step-by-step explanation:

Answer:

5.6 miles

Step-by-step explanation:

\(\frac{80 minutes}{7 miles} = \frac{64 minutes}{x}\)

80x = 448

x = 5.6 miles

Answer: width=6x

height =4(x+7)

Step-by-step explanation: you just simply need to multiply them as stated that the width is x and there are 6 tiles so its 6x and the same goes for height

Answer:Hunter read 6 months in a month

Step-by-step explanation:

12/2=6 books in a month

Answer:

6 Books a Month

Step-by-step explanation:

12 / 2 = 6

The measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.

In the given diagram, we can see that angle ACD is a right angle, since it is formed by the radius AC and tangent CD at point C.

Therefore, angle BCD is equal to angle ACD, which is 90 degrees.

Since angle BCD is an exterior angle of triangle BCF, it is equal to the sum of the two remote interior angles, which are angles BFC and FCB.

Angle BFC is equal to angle ABC (since they are opposite angles), which is 60 degrees.

Similarly, angle FCB is equal to angle ACF, which is also 60 degrees.

Therefore, angle BCD is equal to angle BFC + angle FCB, which is 60 + 60 = 120 degrees.

Now, since arc CD is subtended by angle BCD, its measure is also equal to 120 degrees.

Hence, the measure of arc CD is 120 degrees.

Similarly, angles ACF and FCB are opposite angles in the cyclic quadrilateral AFCB, so they are supplementary. Therefore, angle FCB is equal to 180 - angle ACF,

Which is also 180 - 60 = 120 degrees.

Now we can apply the exterior angle theorem to find the measure of angle BCD. We have:

angle BCD = angle BFC + angle FCB

= 120 + 120

= 240 degrees

Finally, we can conclude that the measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.

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1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.

Here we want to find the solution set of the inequality below:

x ≤ -4

First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so  we need to have a closed set at that end)

This is written as:

(-∞, -4]

The use of the symbols [ ] means that the element belongs to the set.

Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.

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Answer:57

Step-by-step explanation:

I would do 456/8 to figure out how many miles they went every hour, 456/8 is 57 so James is correct.

Answer:

32, percentage increaced by 25% =40

Step-by-step explanation:

Answer:

y = - 10

Explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.

Answer:

option b is your correct answer

hy if it help you then mark me brilliant

.............

The difference in temperature between Rome and Munich is given as follows:

6ºC.

The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.

The bar graph in the context of this problem gives the temperature for each town.

From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:

Hence the difference in temperature between Rome and Munich is given as follows:

11 - 5 = 6ºC.

The graph is given by the image presented at the end of the answer.

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a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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Area of square = L x L

12sq feet =L x L

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

∠ EBF = 47°

Step-by-step explanation:

since BE bisects ∠ ABF , then

∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22

∠ ABF = ∠ ABE + ∠ EBF ( substitute values )

8w - 6 = 2w + 22 + 2w + 22

8w - 6 = 4w + 44 ( subtract 4w from both sides )

4w - 6 = 44 ( add 6 to both sides )

4w = 50 ( divide both sides by 4 )

w = 12.5

Then

∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°

Answer:

Since 2x represents 2 • 0, and since 6x represents 6 • 0, the answer to your math problem (on the drop down bar) is 0 and 0. Therefore the complete equation would be: 2x + 6x = 2 (0) + 6 (0).

Hope this helped!!

Answer:

Kageyama x Milk

Step-by-step explanation:

djkdkdkdksksk y u h

Answer:

As an autistic dyslexic person, i can confirm your question is held in a silly way as possible

The symbols which correctly relates the two numbers are :

We could relate the two given numbers 100 and 20 on the basis of magnitude and equality.

100 is greater than 20, 100> 20

100 is greater than or equal to 20 , 100 ≥ 20

100 is not equal to 20 , 100≠20

Therefore, the symbols which relates the numbers are :

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Answer:

A = 25

B = 27

C = 5

D = 15

E = 7

Step-by-step explanation:

The question states that all rows, columns, and diagonals have the same sum. With this assumption, we can add up 6, 16, and 26 to know that each row/column/diagnol adds up to 48. With this in mind, you can fill in the numbers needed to make all the rows add up to 48.

Example: A + 17 + 6 = 48, so A = 25

The more numbers you solve, the more knowledge you have to solve for the rest of the numbers.