ABCD is a quadrilateral and a line through A parallel to BC meets DC at X. If angle D=angle C , prove that ADX is isosceles.

Answer:

m = 36

Step-by-step explanation:

A^2 + B^2 =  C^2

81 +  144 = 225

square root of 225 =  15

n = 15

m = ?

39 = 39

225  + m ^2 = 1521

m^2 = 1296

m = 36.

CHECK :

225 + 1296 =  1521

CORRECT!

The number of cups of popcorn got by each person is 2.25.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Given that 4 people share 9 cups of popcorn equally.

To determine the number of cups of popcorn got by each person

Since 9 cups of popcorn are equally distributed among 4 people

So the number of cups of popcorn got by each person = 9/4

The number of cups of popcorn got by each person = 2.25

Hence, the number of cups of popcorn got by each person is 2.25.

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Answer:

e = -6

f = -2

Step-by-step explanation:

I used the elimination method and multiplied the second equation by 5 to get:

  -5e + 10f = 10.  Added this to:

+  5e + 3f = -36

13f = -26

f = -2

now find e:  -e - 4 = 2

-e = 6

e = -6

The given expression of an \({ }^{44} P_2\) is 1892.

The given expression is \({ }^{44} P_2 & =\)0

\({ }^{n} P_r\):-

 \({ }^{n} P_r=\)\(\frac{n !}{(n-r) !} \\\)

where

In the nPr formula, the letter "P" stands for "permutation," which is another word for "arrangement." The nPr formula calculates the number of possible combinations for choosing and arranging r items from the given n items.

Let's imagine that r various objects should be chosen and organised among n different objects. Let's explore some options for how to accomplish this.

Since there are n total objects, there are n methods to select the first one.

The number of options for selecting the second thing is limited because the first object has already been selected (n - 1).

Similar to how there are numerous ways to select the third item (n - 2).

While choosing the \(r^{th}\) object, there are only (n - r + 1) objects are left and hence it can be chosen in (n - r + 1) ways.

\({ }^{44} P_2 & =? \\\\P(n, r) & =\frac{n !}{(n-r) !} \\\\44 P_2 & =\frac{44 !}{(44-2) !} \\\\& =\frac{44 \times 43 \times 421}{421} \\\)

=44×43

=1892

\({ }^{44} P_2=\)1892

Therefore, the value of \({ }^{44} P_2\)=1892.

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Answer: It will take about 8.5 years for the balance of the savings account to reach $3827.25.

Step-by-step explanation:

To find the number of years it will take for the balance of the savings account to reach $3827.25, we can set up the following equation:

$3500 * (1 + 0.011 * t) = 3827.25$

We can then solve for t, the number of years, by dividing both sides of the equation by 3500 and then rearranging the terms to get t by itself:

$t = \frac{3827.25 - 3500}{3500 * 0.011}$

Next, we can plug in the given values and solve for t to find the number of years it will take for the balance of the account to reach $3827.25:

$t = \frac{3827.25 - 3500}{3500 * 0.011} = \frac{327.25}{38.5} = 8.5$

Therefore, it will take about 8.5 years for the balance of the savings account to reach $3827.25.

The simplified form of the expression (x² - 4x -21)/4(x-7) is (x + 3)/4

From the question, we have the following parameters that can be used in our computation:

x²-4x-21 over 4(x-7)

Express properly

So, we have

(x² - 4x -21)/4(x-7)

Factor the numerator

This gives

(x + 3)(x - 7)/4(x-7)

Cancel out the common factors

This gives

(x + 3)/4

Hence, the simplified form of the expression is (x + 3)/4

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Answer:

10 sides.

Step-by-step explanation:

The sum of the exterior angles pf all polygons is 360 so the sum of the interior angles in this one = 4*360 = 1440 degrees.

Sum of interior angles = 180(n - 2) where n = number of sides. So 1440 = 180(n-2). 180n - 360 = 1440 ; 180n = 1440+360 = 1800, So n = 1800/180= 10.

Step-by-step explanation: 30:90 = 10:30 =1:3 = 1/3

Answer:x is two

Step-by-step explanation:

Answer:

v > 26

Step-by-step explanation:

v > 22 + 4

v > 26

there is no qouificient ( I don't know how to spell that) of v so that's your answer

Answer:

Step-by-step explanation:

What is the margin of error if the sample size is 100, sample mean is 68.0, and standard deviation is 4.0

The Margin of error formula =

± z score × s/√n

Where s = standard deviation= 4

n= Number for samples = 100

z = z score of confidence interval

Margin of error = ± z × 4/√100

Margin of error = ±z × 4/10

=± z × 2/5

= ± z × 0.4

= ± 0.4z

Margin of error = ± 0.4z

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

Answer:

For 5/11 shade in the third bubble (0.45 repeating)

Answer: 1.001

Step-by-step explanation:

The probability of an event is always within 0 or 1.

     ✓ 0 > 0.001 > 1

     ✓ 0 > 1.0 > 1

     ✗ 0 > 1.001 > 1

     ✓ 0 > 0.999 > 1

     ✓ 0 > 0.0 > 1

1.001 is not within 0 or 1, so it's not a legitimate probability of an event.

Answer:

Step-by-step explanation:

Not legitimate:  1.001

Probability must be between 0 (impossible event) and 1 (guaranteed to happen).

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The correct answer to the question is option E. When an investment has monthly compounding, it means that the interest earned on the investment is added to the principal every month,

which results in an increased balance. This is because the more frequently interest is compounded, the higher the yield on the investment. So, if two investments have the same deposit, APR (Annual Percentage Rate), and length of time, the one with monthly compounding will yield a greater balance compared to an investment with annual compounding.

This is because the monthly compounding investment is earning interest more frequently, resulting in a higher overall yield. Therefore, it is important to consider the frequency of compounding when making investment decisions. The monthly compounding yields a greater balance than an account with annual compounding because more compounding means a higher yield (option E).

With the same deposit, APR, and length of time, an investment with monthly compounding will accumulate more interest due to the increased frequency of compounding, resulting in a higher overall balance compared to an account with annual compounding.

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The predicted number of truck crossings for September 2018 by using the weights of 0.7 and 0.3 for the 2 -month wma, where the first weight is used for the most recent month and the last weight is used for the least recent month. is 203,320.80.

To calculate a 2-month weighted moving average (WMA) forecast for truck crossings, we use the weights of 0.7 and 0.3, where the first weight is for the most recent month and the last weight is for the least recent month.

The forecast for September 2018 is determined by taking the weighted average of the truck crossings in August and July 2018.

To calculate the 2-month WMA forecast, we multiply the truck crossings in August by 0.7 (the weight for the most recent month) and the truck crossings in July by 0.3 (the weight for the least recent month). Then, we sum these weighted values to obtain the forecast for September 2018.

Given the number of truck crossings in August (207,528) and July (193,504), we can calculate the 2-month WMA forecast as follows:

Forecast = (0.7 * August) + (0.3 * July)

= (0.7 * 207,528) + (0.3 * 193,504)

= 145,269.6 + 58,051.2

= 203,320.8

Rounding this value to two decimal places, the predicted number of truck crossings for September 2018 is 203,320.80.

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Answer:

12.5%

Step-by-step explanation:

He scored \(168-147=21\) points in the playoff game.

This is equal to \(\frac{21}{168}(100)=12.5\%\).

The circumference of the circle in terms of \(\pi\) is 4\(\pi\)\(x\) + 6\(\pi\), whose area is

4\(\pi\)\(x^{2}\) + 12\(\pi\)\(x\) + 9\(\pi\)

The formula of Area of Circle is \(\pi\)\(r^{2}\)

As given in question area of circle is  4\(\pi\)\(x^{2}\) + 12\(\pi\)\(x\) + 9\(\pi\)

so, we can say that

\(\pi\)\(r^{2}\) = 4\(\pi\)\(x^{2}\) + 12\(\pi\)\(x\) + 9\(\pi\)

by this we have to find the value of r,

\(\pi\)\(r^{2}\) = \(\pi\)(4\(x^{2}\) + 12\(x\) + 9)

\(r^{2}\) = \((2x)^{2} +3^{2} +2*2x*3\)  

by using this formula \((a+b)^{2} = a^{2} +b^{2} +2ab\), we get

\(r^{2}\) =\((2x+3)^{2}\)

\(r\) = \(2x+3\)  

by using the value of \(r\) i.e. radius for calculating the circumference of circle, we get

circumference of circle = 2\(\pi r\)

                                       = \(2\pi (2x+3)\)

                                        = \(\pi (4x+6)\)

                                        = 4\(\pi\)\(x\) + 6\(\pi\)

therefore, the circumference of the circle in form of \(\pi\) is 4\(\pi\)\(x\) + 6\(\pi\).

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The probability of getting the first two questions correct by randomly guessing is option D: 0.0625.

Since each question has four choices and you are randomly guessing, the probability of guessing the correct answer for each question is 1 out of 4, or 1/4 = 0.25.

To find the probability of getting both questions correct, we multiply the probabilities of each event since they are independent. So, the probability of getting the first question correct is 0.25, and the probability of getting the second question correct is also 0.25.

To find the probability of both events occurring, we multiply the individual probabilities:

P(both questions correct) = P(first question correct) * P(second question correct) = 0.25 * 0.25 = 0.0625.

Therefore, the probability of getting the first two questions correct by randomly guessing is 0.0625, which corresponds to option D.

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The linear equation is:

y = 2x + 40

And the graph is on the image at the end.

We know that the service costs $40 per mont plus $2 per minute of time used out of the service area.

So, if you use x minutes out of the service area, then the total cost is given by the linear function:

y = 2x + 40

Now we need to graph this, to do so, we need to find two points.

if x = 0

y = 2*0 + 40 = 40

if x = 1

y = 2*1 + 40 = 42

Then we have the points (0, 40) and (1, 42), now we need to graph these two points and connect them with a line.

The graph of the linear equation is on the image at the end.

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\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)

Answer:

x = 7

Step-by-step explanation:

x-6=8-x

2x - 6 = 8   ==> add x on both sides to move x to one side of the equation

2x = 14  ==> add 6 on both sides to isolate x

x = 7  ==> divide 2 on both sides to isolate x

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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Answer:

(x,y) (1, -4)

Step-by-step explanation:

3x-7= -4x

x=1

y= -4x1

y= -4

(x,y) (1, -4)

can i be brainliest

Answer: How’s that 2021 going for u?

Step-by-step explanation: