Given AE ≈ EC, for what value of x is quadrilateral ABCD a parallelogram?

Answer:

2.5 hours

Step-by-step explanation:

4 - 1.5 = 2.5

You must subtract 1.5 from the amount of hours he plays piano, which is 4. This is because he spends 1.5 hours less playing drums than he does playing piano.

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

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Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

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2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

Answer:

y= -2x+ 5

Step-by-step explanation:

parallel with y= -2x+ 1 means the lines have the same slope m= -2

from point (-1, 7) we go with a slope of -2 until we find the y-intercept (0, 5)

y= mx+b is the general formula

y= -2x+ 5

Answer:

Above picture is the solution for your question

Step-by-step explanation:

Use relation of trignometric ratios

Answer:

(-2/7,2/3)

Step-by-step explanation:

Let's solve for x.

−7x+3y=2

Step 1: Add -3y to both sides.

−7x+3y+−3y=2+−3y

−7x=−3y+2

Step 2: Divide both sides by -7.

−7x/ −7 = −3y+2/ −7

x= 3/ 7 y+ −2/ 7

Answer:

x= 3/ 7 y+ −2/ 7

Let's solve for y.

−7x+3y=2

Step 1: Add 7x to both sides.

−7x+3y+7x=2+7x

3y=7x+2

Step 2: Divide both sides by 3.

3y/ 3 = 7x+2/ 3

y= 7/ 3 x+ 2/ 3

Answer:

y= 7/ 3 x+ 2/ 3

Answer:

Solution given:

centre(h,k)=(-2,3)

radius(r)=6 units

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+2)²+(y-3)²=6²

(x+2)²+(y-3)²=36 is required equation of a circle.

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the average approaching 3.5, we need to use the concept of the mean or expected value.

The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.

In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.

Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5

Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.

Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:

Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232

To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:

Average approaching 3.5 = (Sum of remaining rolls) / n

We know that the total number of rolls is 3200, so the number of remaining rolls is:

n = 3200 - (number of rolls already rolled)

n = 3200 - 3200 = 0

Therefore,

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8x+6=5x+30}[/tex]

[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]

[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]

[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]

[tex]\rightarrow\mathsf{3x +6=30}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{3x +6-6=30-6}[/tex]

[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]

[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]

[tex]\mathsf{30-6=\bf 24}[/tex]

[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]

[tex]\mathsf{3x = 24}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]

[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]

[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Your answer is -5/2.

Step-by-step explanation:

Use the slope equation. (Refresh if you cant see below.)

[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]

Answer:

Should Be 19 students

Step-by-step explanation:

Answer:

20:18 30:27 40:36 etc..

Step-by-step explanation:

To find equivalent ratios you multiply both 10 and 9 by the same number to find equivalent ratios.

Answer:

10 square meters

Step-by-step explanation:

The number of games, the friends have to play is an illustration of combination.

They have to play 28 games to ensure that they all play

Given

[tex]n = 8[/tex] --- number of friends

[tex]r = 2[/tex] --- only two friends can play at a time

For everyone else to play, we will make use of the following combination formula;

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]

[tex]^8C_2 = \frac{8!}{6!2!}[/tex]

Expand

[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]

[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]

[tex]^8C_2 = 4 \times 7[/tex]

[tex]^8C_2 = 28[/tex]

Hence, the 8 friends have to play 28 games to ensure that everyone else plays

Read more about combinations at:

https://brainly.com/question/8018593

I think it 10

Hope that helps

Answer:

The answer is 1.2 or 5

Step-by-step explanation:

Answer:

B,D,E

Step-by-step explanation:

Answer:

The answer is 28.5

Step-by-step explanation:

Right triangle: 4.5

Top triangle: 6

Rectangle: 18

Your welcome :)

Answer: go

Step-by-step explanation:

Answer:

Believe its D

Step-by-step explanation:

Answer:

(-6,-12) let me know if wrong

Step-by-step explanation:

Mark me brainliest plz

Answer:

12.0%

Step-by-step explanation:

Answer:

I'd try to do that, but it cannot be done.

Step-by-step explanation:

The above sentence contains 30 letters, including 3 "e"s, so the frequency of e is 3/30 = 0.1 = 10%

Answer:

25 dollars/hour

Step-by-step explanation:

The rate of change is 25 dollars/hour

Answer:

450

Step-by-step explanation:

you divide 90 by 20 and times in by 100

Answer:

D

Step-by-step explanation:

sorry if incorrect

Answer:

The answer is A. Texas has one of the strongest and most diverse economies in the country.

Step-by-step explanation:

Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.

Answer:

= 0.315

Step-by-step explanation:

hope this helps :)

Answer:

x = 20

Step-by-step explanation:

(6x - 10) and (3x + 50) are vertical angles and are congruent, then

6x - 10 = 3x + 50 ( subtract 3x from both sides )

3x - 10 = 50 ( add 10 to both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

n=-20

Step-by-step explanation:

Answer:

n = -20

Step-by-step explanation:

n/-4 = 5

n/-4 (-4) = 5(-4)

n = -20

-20/-4 = 5

Answer:

the angle measures are 60 and 30

Answer:

0.3

Step-by-step explanation:

yushhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

0.3

Step-by-step explanation:

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