7. Given: AD || BC and AD=BC.
B
Prove: AB || DC
시

Answer:

Θ = 84°

Step-by-step explanation:

using the identity

cosx = sin(90 - x) , then

cos6° = sin(90 - 6)° = sin84°

that is Θ = 84°

Answer:

the likely hood of that happening is the amount of that deck of cards by 2 so 52/2 could be your answer so yeah

Answer:

range = 27

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest = 95 , smallest = 68

range = 95 - 68 = 27

Answer:

46

Step-by-step explanation:

Answer: 421

Step-by-step explanation:

Subtract 3,000 by 1,737 and the product of that divided by 3 which will give you 421

The mean amount of money Sadie saves each month is $10,724.29.

Mean is a measure of central tendency that is used to determine the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(10150 + 102211 + 10424 + 10769 + 11155 + 11477) / 7 =  $10,724.29.

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Answer:

The warehouse has 31,250 cubic feet of space.

The air conditioner has to be at least 55 tons.

Answer:

687,500 for first blank

60 tons for second blank

Step-by-step explanation:

It is correct on edmentum

Hope you enjoy  :)))))))

The interval contains all of the values in the range of the function 32 to 58 dollars.

The function is as follows:

p(x)  = 12 + 2x

where

He sells 10 to 23 candies per day.

Therefore,

x = 10 and x = 23

Hence,

p(10) = 12 + 2(10) = 12 + 20 = 32

p(23) = 12 + 2(23) = 12 + 46 = 58

Therefore, the interval contains all of the values in the range of the function 32 to 58 dollars.

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[tex]\dfrac 25 = \dfrac 12 x\\\\\implies x = \dfrac{2 \times 2 }5 = \dfrac 45[/tex]

Answer:

1, 5

Step-by-step explanation:

I may be a little wrong but;

Multiply it by 3 and 4-

-12x+9y=-51

12x-16y=44

-7y=-7

y=1

x=5

Answer:

617000

Step-by-step explanation:

Division reverses multiplication.

If the total population of Charlotte which we'll call 'x' follows

x * 0.05 = 30850, then

30850 / 0.05 = x

x = 617000

Answer:

Let the diameter be represented as x.

Let the diameter be represented as x.Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

segments would be:(14 + x)(14) = 25^2

segments would be:(14 + x)(14) = 25^2196 + 14x = 625

segments would be:(14 + x)(14) = 25^2196 + 14x = 625Subtract 196 from each side

14x = 625 - 196

14x = 625 - 19614x = 429

Divide both sides by 14

Divide both sides by 14x = 429/14

Divide both sides by 14x = 429/14x = 30.6

Divide both sides by 14x = 429/14x = 30.6Diameter = 30.6

Answer:

Negative Reciprocals

Step-by-step explanation:

Consider two slopes being perpendicular to each other:

[tex]\displaystyle \large{m_1\cdot m_2=-1}[/tex]

You will either receive:

[tex]\displaystyle \large{m_1=-\dfrac{1}{m_2}}[/tex]

or:

[tex]\displaystyle \large{m_2=-\dfrac{1}{m_1}}[/tex]

Say, you want to find perpendicular slope of 4. You have first slope as 4 and another as unknown which is assigned as m variable:

[tex]\displaystyle \large{4m=-1}\\\displaystyle \large{m=-\dfrac{1}{4}}[/tex]

Therefore, 4 and -1/4 are perpendicular to each other. See that one slope is positives while another is negative. If you have negative slope then the perpendicular slope is positive.

Hence, they are indeed reciprocal but also negative as well.

Answer: I.

Step-by-step explanation:

Capitalism is clearly not the answer. Capitalist governments such as America have their fingers into the economic trading.

Socialism and Communism sound plausible, but Communism is giving people money by their work, and Socialism is everything is owned by the public. Both still involve themselves in markets, so the answer is I

Answer:

d.

No economic system is free from government involvement.

Step-by-step explanation:

Answer:

x = 4

y = 6

Step-by-step explanation:

3x + 4y = 36 ⇒ ( 1 )

y = - 1/2x + 8 ⇒ ( 2 )

( 2 ) × 2

2y = -x + 16 ⇒ ( 3 )

2y + x = 16

x = 16 - 2y ⇒ ( 4 )

Let us replace x with ( 16 - 2y ) and the value of y.

For that, let us use the equation (1).

3x + 4y = 36

3 ( 16 - 2y )  + 4y = 36

48 - 6y + 4y = 36

48 - 2y = 36

48 - 36 = 2y

12 = 2y

Divide both sides by 2.

6 = y

Now let us replace y with 6 and find the value of x.

For that let us use equation 4.

x = 16 - 2y

x = 16 - 2 × 6

x = 16 - 12

x = 4

Answer:

4# |  267

Step-by-step explanation:

There are  3 numbers in the 40's in the data:

42, 46 and 47.

Answer:

x=16ft 2x+4=36

Step-by-step explanation:

perimeter o rectangle=2(l+b)

2(2x+4+x)=104

4x+8+2x=104

x=16ft,2x+4=36ft

Answer:

The vertex of the graph is:

As this parabola opens upwards, the vertex is the minimum point.

From inspection of the graph, vertex = (-3, -1)

Equation of the graph

From inspection we can see that the x-intercepts are when
x = -4 and x = -2

[tex]\sf x = -4 \implies x+4=0[/tex]

[tex]\sf x = -2 \implies x+2=0[/tex]

Therefore:

[tex]\sf y=(x+4)(x+2)[/tex]

Expand:

[tex]\sf \implies y=x^2+6x+8[/tex]

Answer:

[tex]B)f(x) = {x}^{2} + 6x + 8[/tex]

Step-by-step explanation:

Let [tex] f(x)=x^2[/tex] be the parent function. With transformation of function, firstly,we know that,

algebraically

Clearly, The parabola is moved down by 1 unit thus, C is -1. Therefore our function transforms to

secondly, we know that,

algebraically,

in case,

Since the parabola is moved left by 3 unit, C is +3, and hence Our function eventually becomes

simplifying it yields:

[tex]\implies \boxed{f(x) = {x}^{2} + 6x + 8}[/tex]

Hence,B is our required answer

Answer:

4d

Step-by-step explanation:

i think any variable alone with no coefficient equals one

so this problem is like adding the terms 3d + 1d

so 1+3=4

and you use the variable d at the end

therefore the answer would be 4d

hope this helped<3

Answer:

4d

Step-by-step explanation:

3d+d this means 3d+1d because any variable without a coefficient is 1

which means

3d+1d

=4d

hope this helps!!!

Answer:

Forty games

Step-by-step explanation:

80 ÷ 2 = 40

40 games are required

Answer: 0.125

Step-by-step explanation:

Add up the probabilities in the other ones and subtract that sum by 1, since 0 boys is out remaining answer

Answer:

81

Step-by-step explanation:

[tex] {x}^{2} + 18x + {(( \frac{1}{2})(18)) }^{2} [/tex]

[tex] {x}^{2} + 18x + {9}^{2} [/tex]

[tex] {x}^{2} + 18x + 81[/tex]

[tex] {(x + 9)}^{2} [/tex]

Smith's balloon is an algebraic expression

The expression that represents how many Balloons Smith has is p + 20

The given parameters are:

Small = p

Big = 20

Add the number of small and big ballons to get the total number of ballons

Total = Small + Big

This gives

Total = p + 20

Hence, the expression that represents how many Balloons Smith has is p + 20

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Answer:

1/3

Step-by-step explanation:

This problem would be 1/2 x 2/3. The answer would be 1x2 over 2x3.

Answer:

cos θ = 4/5

Explanation given below in the image,

I hope my answer helps you.

Answer:

Investement P

Step-by-step explanation:

Answer:

$648

First find the surface area, and then multiply that by 12 for the inches, then multiply that by the cost

Answer:

$62

Step-by-step explanation:

First find the surface area of the box: 2(lw+lh+wh) = 2(60 + 40 +24) = 124(2) = 248

Now create a ratio to find the total cost:

[tex]\frac{0.25}{1} = \frac{x}{248}[/tex]

Solve for x by cross multiplying -

x=62

The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p-value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

Let we take:

X = The balance of a person’s bank account in Superior, WI

Then, by the given data, we have:

[tex]X \sim N(\mu = 580, \sigma = 125)[/tex]

Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.

Symbolically, we have:

[tex]P(X < x) = 80\% = 0.8[/tex]

Converting X to standard normal variate Z, we have:

[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\[/tex]

Thus, the probability statement can be rewritten as:

[tex]P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8[/tex]

From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.

Thus, we get:

[tex]P(Z < z = 0.845) \approx 0.8[/tex]

Thus, we get:

[tex]z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680[/tex]

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.

Now, for second question, we need:

The probability a random person from Superior has less than $400 or more than $1000 in their bank account.

So, income of a random person from Superior is a random value of X.

So, this probability is written as:

[tex]P(400 < X < 1000)[/tex]

Rewritting it, we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)[/tex]

Converting X to Z (standard normal variate), we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)[/tex]

The p-value for Z = 3.36 is 0.9996

The p-value for Z = -1.44 is 0.0749

Thus, we get:

[tex]P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247[/tex]

Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

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Answer:

370 inches

Step-by-step explanation:

To find the perimeter of a figure, you need to add all sides together.

60 + 60 + 125 + 125 = ?

60 + 60 = 120

125 + 125 = 250

120 + 250 = 370 inches