Quadrilateral ABCD has vertices A(9, 9), B(—7, 9),
C(-8,-5), and D(4,-5). In terms of units, what is the
perimeter of quadrilateral ABCD?
Round your answer to the nearest tenth.

The complete two-column proof that shows that ΔAKZ ≅ ΔAKC by AAS is explained below.

The AAS congruence theorem states that if two angles and one non-included side in one triangle have measures that are equal to the two corresponding angles and a corresponding side of another triangle, the two triangles are therefore congruent to each other.

In the image above, we are given two triangles that share a common side, AK. We are informed that line AK bisects an angle, ZKC, and also angles Z and C are congruent.

Therefore, using the information we are given, the two-column proof that can be written to show that the triangles are congruent by the AAS is explained below.

Statements                             Reasons                                      

1. ∠Z ≅ ∠C                              1. Given

AK bisects ∠ZKC

2. ∠ZKA ≅ ∠CKA                   2. Definition of bisection

3. AK ≅ AK                             3. Reflexive property

4. ΔAKZ ≅ ΔAKC                   4. AAS

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Answer:

(0.5, 1.5 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = A (- 4, 4 ) and (x₂, y₂ ) = B (5, - 1 ) ,then

M = ( [tex]\frac{-4+5}{2}[/tex] , [tex]\frac{4-1}{2}[/tex] ) = ( [tex]\frac{1}{2}[/tex] , [tex]\frac{3}{2}[/tex] ) = (0.5, 1.5 )

Answer:

The midpoint is at ( 1/2, 3/2)

Step-by-step explanation:

Midpoint

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

( -4+5)/2 = 1/2

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

( 4+-1)/2 = 3/2

The midpoint is at ( 1/2, 3/2)

The 10% criterion is not followed in Part A. The typical condition is not satisfied in component B.

A proportion is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province.

Here,

The chocolate chunks' data are as follows:

The sample size (n = 18) of chocolates

The batch contains 17 pieces of white chocolate.

The batch contains 43 dark chocolates.

Given the percentage of white chocolates in the sample, we have;

p = 17/60 = 0.28, the proportion of white chocolates in the batch

Part A

Because sampling samples without replacing them does not result in independent Bernoulli trials, the 10% condition stipulates that the sample size should be less than or equal to 10% of the population.

Because the stated sample size, n = 18, is 18/60100 = 30% > 10% of the batch, the 10% condition is not satisfied in the current case.

Part B

The normal approximation can be assumed when we have;

n·p > 10 and n·p·(1 - p) > 10

By plugging in the values for 'n' and 'p', we have;

p = 0.28 = 17/60

n·p = 18 × 17/60 = 5.1 < 10

n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10

Therefore the normal condition is not met.

Part A does not adhere to the 10% requirement. Component B does not meet the normal condition.

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Answer:

Step-by-step explanation:

20=v+9-16

So first, we combine like terms

20=v-7

Then we want to add 7 on each side

20=v-7

+7      +7

Then we are left with

27=v

Step-by-step explanation:

Subtract the numbers

20=v+9-16 =20=v-7

Add 7 to both sides

20=v-7

20+7=v-7+7

Then simplify P.S if you dont know how to comment on the answer

ANSWER v=27

Answer: 1.8 movies per day.

Step-by-step explanation: 8 1/3=25/3. One day would be 3/25. This means that each day, a college students watched 3/25 of 8 movies. Do 3/25x15. This makes 1.8 movies watched per day.

The speed of 213.25 mph  is the red car actually traveling along the road.

What is speed?

The definition of speed is the pace of movement of an object (covering a particular distance). It defines only the magnitude and not the direction, making it a scalar quantity.

The meter per second (m/s) unit of speed is taken from the SI.

let distance between the police and red cars = h

distance from the red car to a point horizontal to the police car = a

distance from from the road to the police car = b

=>[tex]h^2=a^2+b^2[/tex]

take the derivative with respect to time

=>hh' = aa' + bb' b'=0

=>174.64(75) = 90a'

=>a' = 174.64(75)/90 = 145.4ft/sec

=>145.4ft/sec = 145.4(5280)/60^2 = about 213.25 mph

Here ,1 mile = 5280 feet

=>1 hour = 60 minutes x 60 seconds = 3600 seconds

=>1 mile per hour = 5280 feet per 3600 seconds

=>1 foot per second = 5280/3600 mph = 1.4666...mph

=>145.4x 1.4666... = 213.25 mph

Hence 213.25 mph speed  is the red car actually traveling along the road.

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The reflection of point produce an image at the same coordinates, (0, k) is a reflection of the point across the y-axis.

A figure is transformed into a reflection by a transformational process. In a point, a line, or a plane, figures can be reflected. The image and preimage coincide when reflecting a figure in a line or a point.

Every point of a figure is translated to an image across a fixed line via a reflection. The fixed line is referred to as the reflection line.

Given:

A point has the coordinates (0, k).

The rule for a reflection of a point across the x-axis is:

(x, y) ----> (x, -y)

and, the reflection is (0 , -k)

The rule for a reflection of a point across the y-axis is:

(x, y) ----> (-x, y)

and, the reflection is (-0 , k) or (0, k).

The rule for a reflection of a point across the line y = x is:

(x, y) ----> (y, x)

and, the reflection is (k, 0).

and, The rule for a reflection of a point across the line y = -x is:

(x, y) ----> (-y, x)

and, the reflection is (-k, 0)

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The test statistic's p-value is -2.785.

According to A publisher, 45% of its readers own a particular make of car.

Claim: An executive in marketing would like to test the claim that the percentage is different from what is reported.

[tex]H_{o}[/tex]: p = 0.45

[tex]H_{a}[/tex]: p ≠ 0.45

a random sample of 300 found that 37% of the readers owned a particular make of car.

= 37% × 300

= (37 ÷ 100) × 300

X = 111

n= 300

One sample proportion test should be used.

p-vector = x ÷ n,

p-vector = 111 ÷ 300

p-vector = 0.37

The test statistic's formula,

= [tex]\frac{p-q}{\sqrt{\frac{pq}{n} } }[/tex]

test statistic = [tex]\frac{0.37- 0.45}{\sqrt{\frac{0.45(1-0.45)}{300} } }[/tex]

≈ -2.7851

thus, the p-value of the test statistic is -2.7851.

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The value of y when x = -2, 0,2 is 1/49, 7, 49.

Simplification is an algebraic expression is when we utilize a range of approaches to make algebraic expressions more efficient and compact - in their simplest form - without changing the value of the original expression.

Given function y =[tex]7^{x}[/tex]

We have to determine the y values when x = -2, 0, 2

Now substitute the x values in the given function

If x = -2 then

Y = 7(-2)

Y = 1/49

If x = 0 then

Y = 7(0)

Y = 1

If x = 2 then

Y = 7(2)

Y = 49

Therefore the value of y when x = -2, 0 ,2 is 1/49, 7 , 49

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Answer:

sum= 1080

Step-by-step explanation:

Answer:

The sum of an octagon is always 1080 degrees. The interior angles are usually all equal to 135 degrees, but this is an irregular octagon, making that not the case. Because the angles are not all equal, that does not mean that the octagon's sum is any different. Thus, the sum of the interior angles is 1080 degrees.

Hope this helps!

Answer:

The quote seems to have a little to much shooting. Don’t you think?

Step-by-step explanation:

Answer:

lair lair

Step-by-step explanation:

Answer: $342.40

Step-by-step explanation:

There are two ways you can solve this problem:

Simply turning the percentage to a decimal and multiplying it to the $320.

In the picture provided the method at the top represents you multiplying $320 x .07, You might be wondering “why .07 instead of 7%?” Well, if you were turning this number from a percent to a decimal you would shift the decimal point over to the left 2 times.

And so multiplying $320 x .07 = 22.4 or 22.40. Either way works but without the zero is the way you should write it. And you would add 22.4 to $320 and get $342.40.

Also in the picture provided I used the method of proportions.

Where the total is $320 in this case which you would put next to 100% as 100% means complete or the total. And you would put 7% above 100%. Then, proceed to cross multiply $320 by 7 and it will give you, 2240. Then, you divide it by 100. When you divide it you get 22.40. Then you would add it to $320 and get 342.40.

The pit [2, 2]'s prior probability tends to be 0 and its posterior probability tends to be 1.

Compute the probabilities of Pits Each square in the Wumpus world do consist of a pit with the probability of 0.01 and consist of independent contents of the squares.

As suppose there are total of N/2 pits that are scattered randomly among the total of N squares. To compute the probabilities of the pits in [1, 3] and [2,2], consider that the probabilities of the assignments to complete where the other assignments doesn't gets off.

Thus, the total number of the 3-pit assignment rather remains consistent with the three assigned partial assignments here P 1,3 =true.Thus, in 21 assignment completes when the P 1,3 =true. Next the 55 assignment completes when the

P 1,3, = false.

Thus, it gives P(P 1.3 ) = a' (0.01(0.0001+0.0099+0.0099), 0.99(0.0001+ 0.0099)) = (0.1674, 0.8326)

While when the value of Pay = true, then there are basically four assignments that are partialenough with the total value of 0.0001, 0.0099, 0.0099, 0.9801, through the assignment gets completed.

Next when the value of Pa, = false, then there is only a single assignment that is partial with the value of 0.0001 that completes the assignments. Thus, then the final value of P (P2.2 ) is given asP(P2.2) = a' (0.01(0.0001+ 0.0099+0.0099+0.9801), 0.99x 0.0001) = (0.9902, 0.0098

Thus, the prior probability of the pit [2, 2] tends to be 0 and the posterior probability tends to be one (1).

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We will use the  distributive property to take a common factor in the next step:

(1/5)*x - (1/10)*x = (1/5 - 1/10)*x

Using that we will see that the solution is x = 10.

The distributive property can be written as:

A*(B + C) = A*B + A*C

Now we have the equation:

(1/5)*x + 8 = (1/10)*x + 9

If we group like terms we get:

(1/5)*x - (1/10)*x = 9 - 8

Here we apply the property, we can rewrite the left side as:

(1/5)*x - (1/10)*x = (1/5 - 1/10)*x

Then we can write:

(1/5)*x - (1/10)*x = 9 - 8

(1/5 - 1/10)*x = 1

(1/10)*x = 1

x = 10*1

x = 10

And that is the solution.

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the figure for m3 in the above question is 50

The probability that he or she will be happy with the travel reimbursement will be 0.705.

The number of people who requested more vacation time indicates that they are plainly dissatisfied.

400 employees are satisfied with the vacation allowance. - The number of workers that requested greater vacation time.

Employees who are satisfied with their vacation pay are represented by the numbers 400 - 118 = 282.

The likelihood that he or she will be happy with the vacation allowance =

Employees that are happy with their vacation pay / Total number of employees

= 282 / 400 = 0.705.

Therefore, the likelihood that he or she will be happy with the vacation allowance = 70.5%

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Answer:

Step-by-step explanation:

5/6 is closest to 1 and 2/5 is closest to 1/2 so the difference is closest to 1/2.

Dora solved the equation.

She multiplies 4 inside the bracket. But she fails to know that 4× -1 = -4. Instead she multiplied that 4×-1 = -41. This is her first mistake.

In the second step, she shifted -41 to the right side in order to find the value of x. As -41 gets shifted to right side , -41 becomes +41 and added with +11 to get 52. which is totally a wrong method.

Step-by-step explanation:

Here is the exact method of solvation.

[tex]{ \blue{ \bold{4(x - 1) = 11}}}[/tex]

[tex]{ \blue{ \bold{4x - 4 = 11}}}[/tex]

[tex]{ \blue{ \bold{4x = 11 + 4}}}[/tex]

[tex]{ \blue{ \bold{4x = 15}}}[/tex]

[tex]{ \blue{ \boxed{ \red{ \sf{x = \frac{15}{4}}}}}} [/tex]

In this "Simple Random Sample" scenario, 500500500 selected randomly registered phone numbers were chosen.

For the given data in the question.

Thus, 500500500 random registering phone numbers are randomly chosen by a state court employee using a computer, and the law firms connected to all those numbers are randomly chosen for an audit.

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Answer:

3

Step-by-step explanation:

The proportional relationship between the number of books on shelf and how much shelf space the books takes up is 1 inch

What is proportionality?

The concept of proportionality in mathematics denotes the linear relationship between two quantities or variables. The size of one item increases by twofold, whereas the size of the other quantity decreases by one-tenth of the earlier amount.

When two or more parameters are directly or indirectly proportional to one another, the relationship is written as a = kb or a = k/b, where k denotes the direction of the relationship between the two variables. The proportionality constant, k.

As we know [tex]\frac{y}{x}[/tex] = constant of proportionality

So, [tex]\frac{y}{x}[/tex] will be

[tex]\frac{2}{2} = \frac{11}{11} = \frac{13}{13} = \frac{16}{16}[/tex] = 1

∴ it is 1 inch per book

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Answer: the i8 49

Step-by-step explanation:98493

Recent research has confirmed the Spillover Hypothesis by demonstrating a favourable association between life and job happiness.

According to the spillover hypothesis, behaviour or affect in a family system might flow immediately from one place or connection to another. Transfer takes place in the same valence, which means that one subsystem's negative affect is connected to another's negative affect, or stress at work spills over and intensifies stress at home. The compensatory hypothesis offers a different perspective by arguing that transfer between family subsystems occurs in the opposite valence, leading a person to seek fulfilment in one relationship or environment in order to make up for shortages in another.

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Answer: 27

Step-by-step explanation:

Well we already know that n is 12 and d is 15

So based on what I see we do n + d which would equal 27.

Answer: -5,5 = B

Step-by-step explanation:

Answer:

Andre is taller than Diego

Step-by-step explanation:

There are 100 cm in a meter. If we use this information and convert Diego's height to meters, we find that Diego is 1.65 m. This is a smaller number, and therefore, Diego is shorter than Andre.

Answer:

The second answer:

5cubrt10 + 4cubrt10

Step-by-step explanation:

In order to get a cubrt10 answer you have to add cubrt10's.

The first answer has squareroots, so that's a no.

The last two have cubrt + sqrt, which cannot be simplified.

5cubrt10 + 4cubrt10 = 9cubrt10

The value of y when x = 17 is 66.5

From the question, we understand that:

The variation is a direct variation

The equation of a direct proportion can be represented as

y = kx

Where:

From the question, we have

When x = 11, we have = 43

So, we have

11k = 43

Make k the subject

k = 43/11

Substitute k = 43/11 in y = kx

y = 43/11x

When x = 17, we have

y = 43/11 x 17

This gives

y = 66.5

Hence, the value of y is 66.5

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The value e = 0.869 indicates that the ellipse is more elongated that circular.

Given,

x²/12+y²/49 = 1

We will compare with x²/a² + y²/b² = 1 where a<b

Coordinate of center = (0,0)

Here a²=12 and b²=49

We know that the formula of eccentricity(e)

e=√(1-(a²/b²))

= √(1-(12/49))

= √37/7

=0.869

Therefore e=√37/7 = 0.869

Therefore this value indicates that the ellipse is more elongated that circular.

In mathematics, an ellipse is a plane bend encompassing two central focuses, to such an extent that for all focuses on the bend, the amount of the two distances to the central focuses is a consistent. It sums up a circle, which is the extraordinary kind of oval wherein the two focal points are something similar.

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Answer:

Credit (C) = $45.50 - 0.10x

Step-by-step explanation:

Since you are wanting the credit (C) that is the y variable.

The prepaid phone card starts off with a balance of $45.50.

Every minute a call is made $0.10 is deducted (subtracted) from the card.

The unknown number or 'x' represents the number of minutes the calls lasted.