1. Which of the following statements is NOT a property of parallelograms?
Opposite sides are congruent
All angles are right angles.
Opposite angles are congruent.
Consecutive angles are supplementary.
2. Which pair of angles are alternate exterior angles of parallel lines v and w?
(photo attached)

Answer:

C. mass

Step-by-step explanation:

gravity is different on the moon

and weight is different because of that change in gravity

If the bowling ball is placed on the moon, the feature which will stays same,  mass of the ball. So option C is correct

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Given that,

A bowling ball is placed on the moon

So, when ball is placed on moon, it affects the following factors,

Force from gravity - On the Earth and on the Moon the gravitational force will be different.

Weight - On the Earth and On the Moon the gravitational acceleration will be different so weight will be different on both the planets.

Mass- It is the property of the object and it is independent from the planets, it will be same on every planet.

Hence, the  Mass is same on both the planets

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Answer:

alternate angle to angle RUN is angle POU

Step-by-step explanation:

Alternate angles are defined as angles that are located in opposite positions when we look at them relative to a transverse line that intersects two horizontal lines.

Now, we want to find the alternate angle to angle RUN.

The same transverse line cuts the other horizontal line PQ at point O.

Therefore the alternate angle to angle RUN is angle POU

SOLUTION

Consider the image given below.

From the image above,

To find the measures of each angle, we need to obtain the value of small x in the diagram.

Applying the rule: Sum of angle in a triangle is 180 degrees

Then substitute the given expression, we have

Collect like terms and add

Divide both sides by 6, we have

hence, x=30

Then substitute the value of x to obtain the measure of each angles.

Since the triangle is an issoceles triangle, then

Hence

Therefore

Answer : ∠V= 28°, ∠W=28°, ∠X=124°

Answer:

-4.27

Hope this helps.

Step-by-step explanation:

Because the negative number ( - 4.37 ) is bigger than 0.1, the answer is going to end up negative. You can swap sides on the equation to become         - 4.37 + 0.1,  in which case is 4.36 - 0.1  but you have to remember to add the negative sign afterward.

The error was made in substituting the function and the problem has been solved correctly by using substitution method.

What is substitution method?

One strategy for solving equation-related problems is the substitution strategy. Get an expression for one variable in terms of the second variable using one equation before applying the substitution procedure. The expression in the second equation after that should be used in place of that variable.

We are given two functions as f(x) and g(x).

We need to calculate g (f(0)).

The error made was that the student substituted g(x) into f(x) whereas f(x) was to be substituted in g(x).

Now,

f(0) = \(\frac{3(0) - 7}{4}\)

f(0) = \(\frac{- 7}{4}\)

Now, on substituting, we get

⇒g (f(0)) = 2f(0) - 1

⇒g (f(0)) = 2 (\(\frac{- 7}{4}\))  - 1

⇒g (f(0)) = \(\frac{- 7}{2}\) - 1

⇒g (f(0)) = \(\frac{- 9}{2}\)

Hence, the correct solution has been obtained.

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Since there are multiple questions so, the question answered above is attached below

The surface area of the figure for the given condition is 391.2 cm²

The pentahedron Triangular Prism contains nine different nets. The bases' vertices and edges are connected by means of their three rectangular sides. The rectangular sides of the triangular prism are joined to one another side by side.

Given the triangular prism,

which consist of two triangles and  3 rectangles,

the surface area of the figure is the sum of the area of  triangles and  3 rectangles,

given sides of triangle is 6cm x 6cm x 6cm

area of equilateral triangle = √3/4(a²)

area of equilateral triangle = 6²*(√3/4)

area of equilateral triangle = 15.6 cm²

and dimensions of the rectangle is 6cm x 20 cm

area of rectangle = l x b

area of rectangle = 6*20

area of rectangle = 120 cm²

area of shape = 2(area of triangle) + 3(area of rectangle)

area of shape = 2*15.6 + 3*120

area of shape = 31.2 + 360

area of shape = 391.2 cm²

Hence the area is 391.2 cm².

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Answer:

The answer is 81m + 27t hope it was helpful

Answer:

Q1=65

Range= 65-91= 26

Median= 81

Mode= 73

Median=953 ( if your confused on how to get mode juts add all the scores of the 13 students and then divided by the 13 students so 65,+ 72,+ 73+, 73, +77, +80, +81, +82, +83, +85,+ 86,+ 90,+ 91+÷13=953)

Q2=91

Answer:

B is the answer

Step-by-step explanation:

11,160 cubes can be fit in the prism.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

Cube edge length = 1/2 cm

We have a rectangular prism that measures

= (7 + 1/2)cm by 12cm by (15 + 1/2) cm.

So, the volume is

V = (7 + 1/2)cm x 12cm x (15 + 1/2)cm

   = 1,395 cm³

Now, a cube with an edge length of 1/2 cm has a volume of:

V' = (1/2cm)³

   = 0.125 cm³

Now, the number of cubes fitted

V/V' = ( 1,395 cm³)/(0.125 cm³)

       = 11,160

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The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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Answer:

x is 48 and y is 100

Step-by-step explanation:

Angle y = 100 degree

Angle x = 48 degree

The solution to the System of equations is (x,y) = (4,-3).

We are given two equations:

3y + 13 = x (Equation 1)

5x + 4y = 8 (Equation 2)

We can use Equation 1 to express x in terms of y by subtracting 3y from both sides and then subtracting 13 from both sides:

x = 3y + 13 (Equation 3)

We can then substitute Equation 3 into Equation 2 in place of x:

5(3y + 13) + 4y = 8

Simplifying and solving for y, we get:15y + 65 + 4y = 8

19y = -57

y = -3

Now that we have the value of y, we can substitute it into Equation 3 to find the corresponding value of x:x = 3y + 13 = 3(-3) + 13 = 4

Therefore, the solution to the system of equations is (x,y) = (4,-3).

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Answer:

The total cost for the three buildings was $6,034,250.

Step-by-step explanation:

Given,

The first sold for $1,259,300,

the second sold for $2,839,750,

the third sold for $1,935,200.

We add these three sold cost of apartment buildings

$1,259,300 + $2,839,750 +  $1,935,200 = $6,034,250.

To calculate the total cost of three things, you will need to add the individual costs of each item together.

1. Determine the cost of each item. Add together the cost of all three items. This total is the cost of the three items.

2. If the items are sold as a package, determine the cost of the package. This is the cost of the three items.

3. If the items are sold at a discounted rate, calculate the total cost of each item after the discount has been applied. Add together the costs of the three items after the discount has been applied. This total is the cost of the three items.

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The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

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Conclusion
Therefore, for some natural number N, n ≥ N and n ∈ N implies |(p - q)/n| < ε.

To show that for some natural number N, n ≥ N and n ∈ N implies |p/n - q/n| < ε, we'll use the Archimedean property of real numbers. The Archimedean property states that for any positive real numbers a and b, there exists a natural number n such that n*a > b.

Let's consider the inequality we want to prove: \(|p/n - q/n| < ε.\)

Step 1: Rewrite the inequality
First, we can rewrite the inequality as |(p - q)/n| < ε, since we are allowed to combine the fractions.

Step 2: Apply the Archimedean property
By the Archimedean property, we know that for any ε > 0, there exists a natural number N such that N > (p - q)/ε.

Step 3: Rearrange the inequality
We can rearrange the inequality from step 2 to get\( N*ε > p - q. \)

Step 4: Divide by N
Now, divide both sides of the inequality by N to get \(ε > (p - q)/N.\)

Step 5: Relate this to our original inequality
We want to show that |(p - q)/n| < ε for some n ∈ N, where n ≥ N. Since n ≥ N, and ε > (p - q)/N, we have ε > (p - q)/n for n ∈ N and n ≥ N

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When attempting to persuade an audience that is neutral, you should refer to beliefs that many listeners share. Option A is the correct answer.

By identifying common ground or shared beliefs, you can establish a connection with the audience and create a foundation for your persuasive message.

This approach helps to build rapport and increases the likelihood of the audience being receptive to your ideas

When persuading a neutral audience, it is important to be clear, concise, and engaging in order to capture their attention and effectively convey the message.

By using these strategies, the speaker can increase the likelihood of persuading the neutral audience to take action or adopt a particular perspective.

When attempting to persuade an audience that is neutral, there are several strategies that can be employed. Firstly, it is important to establish credibility and trust with the audience by presenting relevant and reliable information from credible sources.

Secondly, it is important to appeal to the audience's emotions by using storytelling, humor, or personal anecdotes.

This can help create a connection between the audience and the speaker and help them see the issue from a more personal perspective.

Thirdly, it is important to anticipate and address any potential objections or counterarguments the audience may have , and to provide convincing evidence and logical reasoning to support the speaker's position.

The correct option is A.

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Complete Question

When attempting to persuade an audience that is neutral, you should __________.

a. refer to beliefs that many listeners share.

b. ask listeners for an immediate show of support.

c. consider making advocacy, rather than understanding, your goal.

d. acknowledge the opposing points of view that audience members may hold.

Answer:

Yoshi applied the rules of signed numbers incorrectly

Step-by-step explanation:

When you multiply 2 negatives, you get a positive.

Answer:

86,400 km.

Step-by-step explanation:

Let x be time (hours) and y be distance (km).

If an aeroplane covers a distance of 7200 km/h then we can write an equation as y = 7200x

This means if x = 1 i.e time is one hour and the distance is 7200 km.

Therefore, in 12 hours will be x = 12, substitute x = 12 in y = 7200x.

Thus, y = 7200(12) then calculate as we receive 86,400 km.

Hence, it will cover 86,400 km in 12 hours.

Second Method

Another method involves with speed formula, speed = distance/time.

Because we want to find distance, move time to multiply with speed.

Thus, our new formula for distance is distance = speed*time.

Our speed is 7,200 km/h and time would be 12 because we want to find distance within 12 hours.

Hence, distance = 7200*12 = 84,600 km.

If you have any questions regarding this math problem or my answer, you can always reach out to me in comment!

The Union of South American Nations (UNASUR) is not a regional alliance.

What is the Union of South American Nations?

The Union of South American Nations was formed in 2008 to further the interests of South American nations. It was an intergovernmental union and that was meant to bring more prosperity to the region.

There are also plans to make UNASUR a single-currency union. The Union of South American Nations was never meant to be a regional alliance however.

complete question is

the union of south american nations (unasur) is considered all of the following except (5 points) group of answer choices a supranational organization an intergovernmental union a single-currency union a regional alliance

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Answer:

80%

Step-by-step explanation:

Solve for x:

x = ($0.80 / $1.00) * 100 x = 0.8 * 100 x = 80

So, the value of 8 dimes is 80% the value of a dollar.

Hope this helps :)

Pls brainliest...

Answer:

80%

Step-by-step explanation:

a dime is 10 cents and a dollar is 100 cents so 8times 10 is 80 so therefore 8 dimes is 80 cents so its 80% of a dollar

Answer:

Step-by-step explanation:

the Pythagorean theorem is :

a^2+b^2=c^2

c is the hypotenuse

if y is the hypotenuse  then x^2+z^2=y^2

if x is the hypotenuse then y^2+z^2=x^2

Answer: (-2,-2)

Step-by-step explanation:

Start at finding the y-intercept(-3) then do rise over run with -2x

Rise over run is count up/down then left/right

Answer:

b

Step-by-step explanation:

Answer:

6-16=10x here is you answer

Answer:

(8(-1)+2>-6

-8+2>-6

-6>-6

Step-by-step explanation:

Regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

This problem can be modeled as a game of incomplete information. The Inspector and Owner are players in the game, and each has two possible strategies: either choose container B, or switch to container C. The payoffs for each player depend on the strategy they choose and which container contains the counterfeit goods.

To solve this game, we can use backward induction. We start by considering the final decision point: whether to switch to container C after seeing that container A does not contain the counterfeit goods. Let's consider the two cases:

If the counterfeit goods are in container B, then the Inspector knows that container C also does not have the counterfeit goods. In this case, the payoff for choosing container B is 100 (if they find the counterfeit goods) or -100 (if they do not).

If the counterfeit goods are in container C, then the Inspector knows that container B does not have the counterfeit goods. In this case, the payoff for switching to container C is 100 (if they find the counterfeit goods) or -100 (if they do not).

Since the Inspector does not know which container has the counterfeit goods, they should choose the strategy with the higher expected payoff. To calculate the expected payoffs, we need to consider the probability that the counterfeit goods are in each container. Since the owner chose one container at random, each container has a 1/3 chance of containing the counterfeit goods.

If the Inspector chooses container B, the expected payoff is:

Expected payoff (choose container B) = (1/3) * 100 + (2/3) * (-100) = -33.33

If the Inspector switches to container C, the expected payoff is:

Expected payoff (switch to container C) = (1/3) * 100 + (2/3) * (-100) = -33.33

Therefore, regardless of what the Inspector chooses, their expected payoff is the same (-33.33). This means that the Inspector does not have a better option than choosing container B, and switching to container C does not improve their chances of finding the counterfeit goods.

For the Owner, if the Inspector chooses container B, then the Owner's expected payoff is:

Expected payoff (Inspector chooses container B) = (1/3) * (-100) + (2/3) * 100 = 33.33

If the Inspector switches to container C, then the Owner's expected payoff is:

Expected payoff (Inspector switches to container C) = (1/3) * (-100) + (2/3) * 100 = 33.33

Therefore, regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

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Answer:

-6 = x

Step-by-step explanation:

2x-8=4(x+1)

Distribute

2x -8 = 4x+4

Subtract 2x

2x-8-2x = 4x-2x+4

-8 = 2x+4

Subtract 4

-8-4 = 2x+4-4

-12 = 2x

Divide by 2

-12/2 = 2x/2

-6 = x

Answer:

\(x = - 6\)

Step-by-step explanation:

\(2x - 8 = 4(x + 1) \\ 2x - 8 = 4x + 4 \\ 2x - 4x = 8 + 4 \\ - 2x = 12 \\ \frac{ - 2x}{ - 2} = \frac{12}{ - 2} \\ x = - 6\)

hope this helps

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