Find the midpoint of A and B where A has coordinates (-7, 1) and B has coordinates (3, -5).​

Answers

Answer 1

Answer:

Midpoint of AB is (-2,-2)

Step-by-step explanation:

thats the answer


Related Questions

Answer this question and explain

Answers

Answer:

I’m pretty sure it’s Salma because hers is all positive na the graph is and the graph is in quadrant 1 which is all positive

Nancy and George (?? relationship) form EB Corporation with the following investments: cash by Nancy of $ ; land by George (basis of $ and fair market value of $ ). EB Corporation issues …. shares of stock,....... each to Nancy and George. Thus, each receives stock in EB worth $. Which of the following statements is correct? [Hints: about section 351?]

Answers

The correct statement is that the transfer of land by George to the corporation in exchange for stock should qualify for non-recognition of gain or loss under section 351 of the IRC, and each shareholder's basis in the stock received would depend on their respective contributions.

What is fair market value and stocks?

Fair market value is the amount that a product would sell for on the open market if all parties were acting in their own best interests, were not subject to excessive pressure, and were given a reasonable amount of time to complete the transaction (FMV).

The given scenario describes the formation of a corporation by Nancy and George, where Nancy contributes cash and George contributes land. The corporation issues shares of stock to Nancy and George in exchange for their respective contributions.

Section 351 of the Internal Revenue Code (IRC) provides rules for the non-recognition of gain or loss on the transfer of property to a corporation in exchange for its stock. To qualify for non-recognition, certain requirements must be met, including that the transfer must be made in exchange for stock, and the transferors must be in control of the corporation immediately after the exchange.

Assuming that the requirements of section 351 are met, the transfer of the land by George to the corporation in exchange for stock should not result in any immediate tax consequences. George's basis in the stock received would be equal to his basis in the land transferred. Nancy's contribution of cash would not affect her basis in the stock received.

Therefore, the correct statement is that the transfer of land by George to the corporation in exchange for stock should qualify for non-recognition of gain or loss under section 351 of the IRC, and each shareholder's basis in the stock received would depend on their respective contributions.

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Complete question is: Nancy and George form EB Corporation with the following investments: cash by Nancy of $ ; land by George (basis of $ and fair market value of $). EB Corporation issues shares of stock, each to Nancy and George. Thus, each receives stock in EB worth $.

a. the transfer of land by George to the corporation in exchange for stock should qualify for non-recognition of gain or loss

b. Basis of $ in the EB Corp stock (assuming Bluebird reduces its basis in the land to $).

c. Basis of $ in the EB Corp stock (assuming Bluebird reduces its basis in the land to $).

d. Basis of $ in the EB Corp stock (assuming Bluebird reduces its basis in the land to $).

e. Basis of $ in the EB Corp stock, because her basis exceeded the fair market value of the land she contributed.

What factor would you need to multiply by (3d+1) to get 9d^2 + 6d + 1

Answers

Answer:

To get 9d^2 + 6d + 1 from (3d+1), you would need to multiply by 3d+1 again.

Expanding (3d+1)(3d+1), you get:

9d^2 + 3d + 3d + 1

Simplifying, you get:

9d^2 + 6d + 1

Therefore, you need to multiply (3d+1) by (3d+1) or (3d+1)^2 to get 9d^2 + 6d + 1.

If the graph below is in meters, find the area of the shaded figure.​

Answers

The area of the shaded part is 20m²

What is area?

The space enclosed by the boundary of a plane figure is called its area. The area of a rectangle is length × width It is measured in square units like cm² and m².

To find the area of the square, we need to find the side length.

The side length is found by using Pythagoras theorem

each box is 1m, then 4 boxes is 4m and 2 boxes is 2m

therefore;

l= √ 4²+2²

l = √ 16+4

l = √20 = 2√5

area a square is l²

A = (2√5)²

A = 4× 5

A = 20m²

therefore the area of the shaded part is 20m²

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I need the. answer asap

Answers

Answer:

(-7,2)

Step-by-step explanation:

Find the equation of the ellipse

Answers

The equation of the ellipse whose vertices are at (-3, -7), and (-3, 5), and focus is at (-3, 1) is; [tex]\frac{(x + 3}{8}+\frac{(y -2}{9} = 1[/tex]

What is standard form of the equation of an ellipse?  

The equation of an ellipse can be presented as follows;

[tex]\frac{(x - h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1[/tex]

Where;

(h, k) = The coordinates of the center of the ellipse

a = The semi major axis

b = The semi minor axis

(h, k ± a) = The vertex coordinates

(h ± b, k) = The covertex coordinates

(h, k ± c) = The coordinates of the foci

c² = a² - b²

The vertex of the specified ellipse are; (-3, -1) and (-3, 5)

The focus = (-3, 1)

Therefore;

h = -3

k + a = 5

k - a = -1

2·k = 4

k = 4/2 = 2

k = 2

k + a = 5

2 + a = 5

a = 5 - 2 = 3

a = 3

k - c = 1

2 - c = 1

-c = 1 - 2 = -1

-c = -1

c = 1

c² = a² - b²

Therefore;

1² = 3² - b²

b² = 3² - 1² = 8

b² = 8

The equation of the ellipse is therefore;

[tex]\frac{(x - (-3))^2}{8} + \frac{(y-2)^2}{3^2} = \frac{(x + 3)^2}{8} + \frac{(y-2)^2}{9} = 1[/tex]

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From the figure find x,y,z, a,b, and c

Answers

Try to understand the rules for properties of angle and angle, then you can try redo this question again.

find the scale factor of the smaller figure to the larger figure

Answers

Therefore, the scale factor of the smaller polygon to the larger polygon is 2. Therefore, the scale factor of the smaller triangle to the larger triangle is 6.

What is scale factor?

Scale factor refers to the ratio of any two corresponding lengths in two similar geometric figures. In other words, it is the ratio of the size of an object in one image or figure to the size of the same object in another image or figure, assuming that the two images or figures are proportional to each other. The scale factor can be used to determine the relationship between the sizes of the objects in the two figures or images.

Here,

1. The scale factor from the smaller polygon to the larger polygon is found by dividing the length of the larger polygon by the length of the smaller polygon:

scale factor = length of larger polygon / length of smaller polygon

scale factor = 14 / 7

= 2

2. The scale factor from the smaller triangle to the larger triangle is found by dividing the length of the larger triangle by the length of the smaller triangle:

scale factor = length of larger triangle / length of smaller triangle

scale factor = 24 / 4

= 6

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What is the radius of a hemisphere with a volume of 6043 in 3 , 6043 in 3 , to the nearest tenth of an inch?

Answers

The required radius of the hemisphere is approximately 20.27 inches.

What is Hemisphere?

Half of a sphere, with one edge flat and the other in the form of a bowl, makes up a hemisphere, a 3D geometric object. The northern and southern hemispheres, a bowl, mushrooms, and other objects are some of the most typical instances of hemispheres.

According to question:

The volume V of a hemisphere with radius r is given by:

[tex]$V = \frac{2}{3}\pi r^3$$[/tex]

We are given that the volume of the hemisphere is 6043 cubic inches. So we have:

[tex]$$\begin{align*}\frac{2}{3}\pi r^3 &= 6043 \r^3 &= \frac{3}{2}\cdot 6043 \cdot \frac{1}{\pi} \r^3 &= 9051 \r &= \sqrt[3]{9051} \approx 20.27 \text{ in}\end{align*}[/tex]

Therefore, the radius of the hemisphere is approximately 20.27 inches.

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Jeriel is driving to a concert and needs to pay for parking. There is an automatic fee of $8 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Jeriel have to pay for parking if he left his car in the lot for 3 hours? How much would Jeriel have to pay if he left his car in the lot for
t
t hours?

Answers

Answer:

Jeriel would have to pay $17

Step-by-step explanation:

t= hours

$3 per t hour +$8 fee

t=3

3(3)+8= $17

How much would Jeriel have to pay if he left his car in the lot for t hours:

3t+8

How much total money would Jeriel have to pay for parking if he left his car in the lot for 3 hours?

$17

The three sides of a triangular fence have lengths 4x + 5, y − 7, and 3x − 2. What is the total perimeter?

A) 7x + y + 10 feet
B) 7x + y − 4 feet
C) 7x + y feet
D) 4x + y − 4 feet

Answers

The correct option is (b) i.e. the total perimeter of the fence is 7x + y − 4 feet.

What is Perimeter?

Perimeter is the total length of the boundary or outer edge of a two-dimensional shape, such as a polygon, circle, or ellipse. It is the sum of the lengths of all the sides or arcs that make up the shape. For example, the perimeter of a square is the sum of the lengths of all its sides, while the perimeter of a circle is the circumference, which is the distance around the circle. The perimeter is often measured in units such as centimeters, meters, or feet, depending on the context of the problem.

Given : sides of the fence

            s₁ = 4x + 5

            s₂ =  y − 7

            s₃ = 3x − 2

We know that, perimeter of a triangle is sum of all three sides.

So, Perimeter of the fence =  s₁+ s₂+ s₃

                                            = 4x + 5 + y − 7 + 3x − 2

                                            = 7x + y - 4 ft.

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Pre-Algebra Grade 8: Unit 1 Lesson 8 Plane Art (Alternative Portfolio) (Connections)Has anyone done this assignment? Just wanting to get some pointers to get started.

Answers

Plane Art include squares, rectangles, triangles, circles, pentagοns, οctοgen, hexagοns, οvals etc. A grοuping οf shapes is called pοlygοns, like squares and rectangles, but circles and οvals are nοt pοlygοns.

What is a plane?

A plane is a twο-dimensiοnal surface measured by twο linearly independent pοints; a plane dοesn't have an οbviοus directiοn and can extend indefinitely. In algebra, the pοints are plοtted in the cοοrdinate plane which has a number line extending left tο right and upwards and dοwnwards endlessly and infinitely.

What is Plane Figures and Shapes?

In cοntrast tο sοlid shapes, a clοsed twο-dimensiοnal οr flat surface figure is knοwn as a plane shape. Instead οf edges and faces, they pοssess several light lines that make a cοrner οr a vertex where the twο straight lines meet. Sοme basic plane shapes are triangles, squares, rectangles, circles and οvals.

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Complete question:

Pre-Algebra Grade 8: Unit 1 Lesson 8

What is Plane Art?

(Alternative Portfolio)

(Connections)


Le encargaron de tarea a mi hijo la siguiente fracción equivalente ¿alguien me puede ayudar con la repuesta por favor?
7/12= /6​

Answers

ok yo creo que es 0.58333

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-4) = -11 B. g(0) = 2 C. g(7) = -1 D. g(-13) = 20

Answers

The statement that could be true for g is D. g(-13) = 20.

What statement could be true?

We are given that the function g has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45, and we also know that g(0) = -2 and g(-9) = 6.

We can use this information to eliminate the statements that are not true and find the one that could be true for g.

A. g(-4) = -11: Since the range of g(x) is between -5 and 45, and g(-4) is less than -5, this statement cannot be true.

B. g(0) = 2: We are given that g(0) = -2, so this statement is not true.

C. g(7) = -1: 7 is outside the domain of g(x), so we cannot determine the value of g(7).

D. g(-13) = 20: Since g(-9) = 6 and the range of g(x) is between -5 and 45, we can see that g(x) increases as x decreases.

Therefore, g(-13) is greater than g(-9) and could be 20, so this statement could be true.

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Marjorie teaches piano. The equation P = 35s models the
relation between her weekly profit, P, in dollars and the number
of student lessons, s, that she teaches.
a. Find Marjorie's profit for a week when she teaches no
student lessons.
b. Find the profit for a week when she teaches 20 student
lessons.
c. Interpret the slope and P-intercept of the equation.
W

Answers

Marjorie's profit for a week when she teaches no student lessons is $0.  Marjorie's profit for a week when she teaches 20 student lessons is $700. The slope of the equation P = 35s is 35

How to calculate the Interpret the slope and P-intercept of the equation.

a. To find Marjorie's profit for a week when she teaches no student lessons, we substitute s = 0 into the equation P = 35s:

P = 35(0) = 0

Therefore, Marjorie's profit for a week when she teaches no student lessons is $0.

b. To find the profit for a week when she teaches 20 student lessons, we substitute

s = 20 into the equation

P = 35s:

P = 35(20) = 700

Therefore, Marjorie's profit for a week when she teaches 20 student lessons is $700.

c. The slope of the equation P = 35s is 35. This means that for each additional student lesson Marjorie teaches, her profit increases by $35.

The P-intercept of the equation is 0, which represents the profit Marjorie makes when she does not teach any student lessons.

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4. A study by the Technology Services department revealed company employees receive
an average of two emails per hour. Assume the arrival of these emails is approximated
by the Poisson distribution. What is the probability that an employee received 5 or more
emails during the same period?

Answers

She received 5 or more emails in the same time period with a probability of 0.05265.

What is probability?

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

The higher the likelihood, the more likely it is that the event will take place.

So, the probability would be:

We know that λ = 2.

The formula for the poisson distribution states:

P(x = x) = (λˣ * e^⁻ˣ) / x!

P(x = 1) = (2¹ *e⁻²) / 1!

P(x = 1) = (2 * 0.1353352) = 0.2706

Then,

P(x ≥ 5) = 1 - P(x < 5)

1 - P(x < 5) = 1 - [p(x = 0) + p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)]

We gather the individual probabilities and combine them. We can use a Poisson distribution calculator to speed up computations:

1 - P(x < 5) = 1 - (0.13534+0.27067+0.27067+0.18045+0.09022)

1 - P(x < 5) = 1 - 0.94735 = 0.05265

P(x ≥ 5) = 1 - P(x < 5) = 0.05265

Therefore, she received 5 or more emails in the same time period with a probability of 0.05265.

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Correct question:

An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour. Assume the arrival of these emails is approximated by the Poisson distribution. What is the probability she received 5 or more emails during the same period?

A worker's annual income is £3,000 if the first £500 is tax free and on the remaining amount tax is paid at the rate of 5 penny per pound; find the total tax paid by the man. A. £125 B. £150 C. £175 D. £350 E. £650​

Answers

Answer:

The taxable income is £3000 - £500 = £2500.

The tax paid at the rate of 5 penny per pound is:

0.05 x £2500 = £125

Therefore, the total tax paid by the man is £125. Answer: A. £125

Step-by-step explanation:

A ladder 25 feet long is leaning againstthe wall of a house. The base of the ladder ispulled away from the wall at a rate of 2 feet per second
(a) How fast is the top of the ladder moving down the wallwhen its base is 7 feet, 15 feet, and 24 feet from the wall?(b) Consider the triangle formed by the side of the house, theladder, and the ground. Find the rate at which the areaof the triangle is changing when the base of the ladder is7 feet from the wall.(c) Find the rate at which the angle between the ladder and thewall of the house is changing when the base of the ladderis 24 feet from the wall

Answers

Answer:

The base of the ladder is pulled away from the wall at a rate of 2 feet/sec. b) Consider the triangle formed by the side of the house, the ladder,and the ground

Step-by-step explanation:

Tabi's credit card bill is $283.93. This includes her charges and interest. If the new charges are $213.95 more than the interest, find the amount in charges and the amount in interest.​

Answers

Tabi's bill includes $248.94 in charges and $34.99 in interest.


Calculating the amount in charges and the amount in interest.

Let x be the amount of interest that Tabi was charged, in dollars.

According to the problem, the new charges are $213.95 more than the interest, so the amount of new charges is x + $213.95.

The total bill, which includes the charges and interest, is $283.93.

Therefore, we can write an equation:

x + (x + $213.95) = $283.93

Simplifying and solving for x, we get:

2x + $213.95 = $283.93

2x = $69.98

x = $34.99

So the amount of interest charged is $34.99.

To find the amount of charges, we can use the equation for new charges:

x + $213.95 = $34.99 + $213.95 = $248.94

So the amount of charges is $248.94.

Therefore, Tabi's bill includes $248.94 in charges and $34.99 in interest.

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True or false: If a and x are positive numbers and a ≠ 1, then log a x r = r log a x for any real number r.

Answers

The statement " If a and x are positive numbers and a ≠ 1, then[tex]log_a(x^r) = r * log_a(x)[/tex] for any real number r" is true .

Why is the above statement true?

To prove the equation, we can start with the definition of logarithms:

[tex]log_a(x) = y[/tex] if and only if [tex]a^y = x[/tex]

Using this definition, we can rewrite both sides of the equation as exponents:

[tex]log_a(x^r) = y[/tex] if and only if [tex]a^y = x^r[/tex]

[tex]r * log_a(x) = y[/tex] if and only [tex]a^y = x^r[/tex]

Since [tex]a^y = x^r[/tex] in both case, we have:

[tex]log_a(x^r) = r * log_a(x)[/tex]

Therefore, the equation [tex]log_a(x^r) = r * log_a(x)[/tex] holds for any positive numbers a and x (where a ≠ 1) and any real number r.

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Lol please help me , cant get this right!!!

Answers

The solution of the quadratic equation x² + 10x -4 found using the quadratic formula is: x = -5 ± √29.

Explain about the quadratic formula?

Sometimes, factoring the quadratic, setting its factor equal to zero, but then solving each factor is the quickest way to find the answer to "ax² + bx + c = 0" given the value of x.

Yet, there are situations when the quadratic is too complicated, it just doesn't factor in anyway, or you might not feel like factoring at all. The Quadratic Formula also can provide the solutions for you even when factoring sometimes isn't going to be successful.

The given equation:

x² + 10x -4

The general quadratic equation can be written as:

ax² + bx +c

Then, roots of the equation can be found using quadratic formula:

x = -b±√(b²-4ac))/(2a)

a = 1, b = 10 and c = -4

Put the values:

x = [ -10 ± √(10²- 4*1*(-4))]/ (2*1)

x = [ -10 ± √(100 + 16)]/ 2

x = [-10 ± √116] / 2

x =  [-10 ± 2√29] / 2

x = -5 ± √29

Thus, the solution of the quadratic equation x² + 10x -4 found using the quadratic formula is: x = -5 ± √29.

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Help 100 points plus brainiest

Answers

Answer: 3/2, 2/3, 1/3

Step-by-step explanation:

Ms. Jan brought in cookies for her class. She gave put half of them in the morning. At lunch, she gave out 12 more. She then had 10 cookies left. How many cookies did she bring in?

Answers

Answer:

[tex]x=44[/tex]

Step-by-step explanation:

lets say X is the cookies Ms. Jans Brought to her class
first she put half of then in the morning (that is [tex]x/2[/tex] of her cookies)
then she gave out 12 more. That is 12 less cookies.
the total cookies left is the total amount minus the half, minus the 12 cookies:
[tex]x-x/2-12=10[/tex]
From this equation we can solve for X
[tex]x/2=10+12[/tex]

 [tex]x=2(22)\\[/tex]

[tex]x=44[/tex]
Just for check, if she brought 44 cookies, and put 22 (half of then), she still have 22 cookies, then she 12 more, then only 10 are left. So 44 is the answer.

What is the area of the trapezoid?
________________________________
(reporting wrong/spam answers)
(giving brainliest to the correct answer)
________________________________

Answers

Answer:

144inch^2

Step-by-step explanation:

8×8=64

64÷2=32

10×8=80

80+32+32=144

Answer:

144 in

Step-by-step explanation:

Area of a trapezoid: the large base plus the small base multiplied by the height divided by two

small base:10 in

large base: 10+8+8=26

(10+26)×8 = 36×8 = 144 in

2 2

carlos pays a monthly fee of 20$, he pays an additonal fee of 0.06 per minute of use. the least he has be charged in a month is 103.10

Answers

Answer:

$103.10.

Step by step explanation:

Let's assume that Carlos uses "m" minutes in a month.

The additional fee he pays based on the number of minutes he uses would be 0.06 * m.

Therefore, his total cost in a month would be the sum of the monthly fee and the additional fee:

Total cost = Monthly fee + Additional fee
Total cost = $20 + $0.06 * m

We know that the least he has been charged in a month is $103.10.

Therefore, we can set up an inequality:

$103.10 ≤ $20 + $0.06 * m

Solving for "m":

$103.10 - $20 ≤ $0.06 * m
$83.10 ≤ $0.06 * m
m ≥ $83.10 / $0.06
m ≥ 1385

Therefore, Carlos must have used at least 1385 minutes in a month to be charged a minimum of $103.10.

Calculate the driver's average speed The driver focled his car before departing from Jeffreys Bay His tank's capacity is 28litres. Calculate how much he will pay for fuel if he fills up half of its capacity, and the price of fuel was R17.98 per intre​

Answers

Answer:

Step-by-step explanation:

I'm sorry, but I cannot accurately calculate the driver's average speed without additional information such as the distance traveled and the time taken.

However, I can help you calculate the cost of fuel if the driver fills up half of the tank's capacity:

Half of the tank's capacity is 28/2 = 14 litres.

The cost of fuel per litre is R17.98.

Therefore, the cost of filling up half the tank is 14 x R17.98 = R251.72.

So, if the price of fuel is R17.98 per litre and the driver fills up half the tank, they will pay R251.72 for fuel.

I will mark you brainiest!

All the names for the polygon are correct EXCEPT for :

A) ABCDEFG
B) DEFGABC
C) GDFEABC
D) EDCBAGF

Answers

All the names for the polygon are correct except for: C) GDFEABC.

What is a polygon?

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and finite number of sides. Additionally, some examples of a polygon include the following:

TriangleQuadrilateralPentagonHexagonHeptagonOctagonNonagonDecagon

Generally speaking, the vertices of a regular polygon should be named in consecutive order either clockwise or anticlockwise (counterclockwise).

In conclusion, GDFEABC is an incorrect name for the given regular polygon.

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2) The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer?

Answers

The sale tax fοr the cοmputer is $28.89.

What is sale tax?

A sales tax is a fee that is paid tο the gοvernment when certain gοοds and services are sοld. Typically, laws permit the seller tο charge the custοmer the tax at the time οf purchase. It is typically referred tο as a use tax when a tax οn gοοds οr services is paid directly tο a gοverning bοdy by a cοnsumer.

Yοur cοmputer purchase cοst $398.50 in tοtal. The sales tax is 7.25 percent.

The sale tax = cοst οf the prοduct × pecentage οf tax

Sales tax = 398.50 × 7.25%

Cοnvert percentages intο fractiοns:

Sales tax = 398.50 × (7.25/100)

Sales tax = 28.89125

sales tax  ≈ 28.89

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8.2
#4
Quadrilateral LMQW is shown.
W
M
mzL-14x-10
mzM-23y-4
m/N - 6x + 22
IF LMNW is a parallelogram,
what is the value of x?
Type your answer as a whole number.

Answers

Answer:

Hi! x = 4

Step-by-step explanation:

the shape is a parallelogram!

so the opposite angles must be the same

therefore, you can equate angle L and angle N to find your x!

Hope this helps

PLS HELP whats the answeeeerrrrr 53 POINTS ill mark brainlist! just helppppp

Answers

Answer:

In order of the expressions: 3 1/4, 3 1/3, 3 1/2, and 3 1/6

Step-by-step explanation:

Look at the image below and match the color I provided
Other Questions
a bag of 15 scrabble tiles contains three each of the letters a, c, e, h, and n. if you pick six letters one at a time, what is the chance that you spell c-h-a-n-c-e? (in this order) It's summertime time for picnics, swimming, softball, family vacations, playing with friends, and homework. Wait a second. What does homework have to do with summer fun? More and more kids are being saddled with school assignments during the summer months. Some teachers say that doing summer homework ensures that kids maintain skills they learned during the previous school year. Do kids forget how to multiply numbers or write complete sentences during summer break? Some students may need a review of these skills in September. However, no study says that kids have long-term learning losses when they don't do summer homework.Summer is a time to take a break from school. Many other important types of learning happen over the summer months. Kids who play summer sports can develop athletic skills and social skills. They can discover new hobbies or expand existing ones. Kids can deepen reading skills by visiting the library and choosing books to read for pleasure. A student who has spent all summer solving math problems and writing book reports may not feel eager to begin a new school year. How can you feel refreshed and ready to return to school when you've been stressed out about homework all summer? Perhaps teachers should rethink giving homework during the summer months. Kids need a break during the summer. Let summer be summer, and save homework for the regular school year.1. What is the main idea of the passage?A. Kids should spend their summers swimming and doing homework.B. Summer reading programs at the library teach kids that learning is fun. C. Teachers should not assign homework during summer months.D. Summer activities are not as important as keeping up with school.2. According to the author, what may happen if teachers assign summer homework?A. Kids will not feel refreshed and happy to start a new school year.B. Kids will lose all of the knowledge and skills they learned the year before.C. Teachers will have less to teach during the coming school year.D. Parents will teach their students new hobbies and skills.3. Read this sentence from the passage.More and more kids are being saddled with school assignments during the summer months.What does the author mean by this sentence?A. Some kids enjoy and benefit from summer homework.B. It is unnecessary for children to put their homework in the saddle.C. More kids should be required to attend classes during the summer.D. Summer homework is a burden to kids.4. When reading this passage, what opposing view must the reader consider?A. Summer homework interferes with summer activities that help with physical education.B. Summer homework may help students retain their academic skills.C. Summer homework is usually assigned by principals, not teachers.D. Summer has always been a time for students to work on academic skills. The demand equation for a certain commodity is given by thefollowing equation.p= =1/2+. - 20x + 1200, 0x 120Find x and the corresponding price p that maximize revenue.The maximum value of R(x) occurs at x =0. - Identify the five key elements of successful change management.- Explain the importance of each of the five elements.- Describe how each element helps to effectively implement change within an organization.- Consider a professional situation where changes were made in the workplace and describe how the five key elements could aid in implementing change. Have you ever wondered where chalk comes from? Tiny animals called foraminifera live in the sea. Each of these small living animals makes a tiny shell out of lime. When they die, their shells remain. With time, these shells become layers of white rock which we call chalk. Chalk is often found in places that were once underwater.Which sentence from the passage BEST supports the main idea that "Real chalk is made by a small sea animal."ResponsesChalk is often found in places that were once underwater.With time, these shells become layers of white rock which we call chalk. Tiny animals called forminifera live in the sea. Each of these small living animals makes a tiny shell out of lime. PLS HELP!!! Refer to your Expeditions in the Reading book for a complete version of this text.According to "The Challenge: Bessie Coleman's Story," how does Colemans decision to give lectures make a difference in the lives of others?ResponsesA: She entertains crowds of people across the country with her daring stunts.B: Many young black men choose to become military pilots when war comes.C: The U.S. Postal Service issues a stamp with Bessies picture on it.D: The mayor of Chicago names a street in Bessies honor. Consider another time in history were people migrated to a new area under similar circumstance 14. EXTENSION QUESTIONA GIVE WAY sign in the shape of an equilateral triangle is 110cm in height. Find the length of oneof its sides. Include a diagram. how is a condominium different than a single family dwelling a. occupants pay rent to the landlord who owns the property b.occupants are investors who own shares in the entire property and not individual unit c.occupants individually own both the home and the landb.occupants jointly own the common parts of the property and individually own their own units The diameter of a circle is 6 kilometers. What is the length of a 30 degree arc Question of the day: What is the title used for leaders of the Cabinet departments? whoever answers first gets the brainliest. Find the missing information for the triangle. *not drawn to scale for the following right triangle. find the side length x. round your answer to the nearest hundreth. Solve 19(1.12^x)=8(1.18^x). Show work. F(x)=4x^2+2a) F(1)= B) F(-1)=C) F(-4)D) F(-7/2)= The product development department of a technology company estimates that the variable cost of manufacturing a new electronic tablet will be$75per unit. Based on market research, the selling price of this product will be$150. The fixed costs applicable to the new tablet are$1,500,000per month and the maximum production capacity per month is 50,000 units. Given this information, answer the following questions. a) Compute the break-even volume and show your calculator entries below.FC=VC=P=PFT=Q=b) If sales were at10%of capacity, would there be a profit or loss, and of what amount? Profit or loss? Amount=c) If they reduced the price to$120because the variable costs were reduced by20%per unit, calculate the new break-even volume. Show your calculator entries below.FC= Why are so many K names falling out of favor and becoming less popular? Someone please give me a brainly answer in 250 words Do you mind if someone would answer number 21 part a and b I would really appreciate if you would what is the main cause of Global Climate Change 7. The sides of a rectangle are in the ratio 5:2. If the perimeter of the rectangle is 42 cm, find the area of the rectangle.