Look at this diagram:
Which diagram shows AABC rotated 120° counterclockwise about B?

Answer:

a. The ordered pair is (2 , 18)

b. The number of people jogging in year 2002 was 18 millions

c. There will be 39 millions joggers in year 2023

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation y = x + 16 represents the number of people jogging

   in millions from year 2000 to 2009 where y is the number of people

   and x is the number of years after 2000

- That means at year 2000 the value of x = 0 and the number of people

   jogging was 16 millions

- The equation represented graphically by line

a.

- The ordered pair (2 , ?) means x = 2 and we need to find y when x = 2

- Substitute x by 2 in the equation

∵ y = x + 16

∵ x = 2

∴ y = 2 + 16 = 18

* The ordered pair is (2 , 18)

b.

∵ y represents the number of people jogging in millions

∵ x represents the number of years from year 2000

- That means the number of people jogging in year 2002 was 18

  millions

* The meaning of the answer of part (a) is :

  The number of people jogging in year 2002 was 18 millions

c.

-  If this trend​ continues means the equation will be the same for years

   after 2009

∵ In year 2023 ⇒ x = 23

∵ y = x + 16

∴ y = 23 + 16 = 39

* There will be 39 millions joggers in year 2023

To find the value of the rational number, set up an equation using the representation of the integer as 10 times the difference of the rational number and 5. Solve the equation to find the value of the rational number, which is 17.4.

To find the value of the rational number, we can use the given equation: An Integer = 10 times the difference of the rational number and 5.

Let's denote the rational number as x. According to the equation, the integer can be represented as 10(x - 5).

Since the value of the integer is 124, we can set up the equation: 10(x - 5) = 124.

Solving for x, we can divide both sides of the equation by 10 to isolate x: x - 5 = 12.4.

Finally, add 5 to both sides to find the value of x: x = 17.4.

Therefore, the value of the rational number is 17.4.

Answer:

A.

Explanation:

Just plug in the points to each equation.

A.  x + 2y = 2

Plugging in (-6,4) (-6) + 2(4) = 2 ---> -6 + 8 = 2

Plugging in (2,0)  (2) + 2(0) = 2 ---> 2 + 0 = 2

B. 2x + y = -16

Plugging in (-6.4)  2(-6) + (4) = -16 ---> -12 + 4 = -16 --> -8 [tex]\neq -16[/tex]

Because the first point didn't work there is no need to check the second one.

C. x + 2y = -8

Plugging in (-6,4)  (-6) + 2(4) = -8 ---> -6 + 8 = -8 --> 2[tex]\neq -8[/tex]

Again, because the first point didn't work there is no need to chek the next.

D. 2x + y = 4

Plugging in (-6,4)  2(-6) + (4) = 4 ---> -12 + 4 = 4 --> -8[tex]\neq 4[/tex]

Even though the answer was A. you should still check each on of them because there can always be a mistake in your work.

Answer:

A

Step-by-step explanation:

To find the equation of a line, the first thing that must be determined is the lines gradient. This can be determined by using the formula:

m = (Δy) / (Δx)

m = (4-0) / (-6-2)

m = 4 / -8

m = -0.5

The gradient has been determined, now we determine the y-intercept by using a point it passes through (either point cant be used because the line will pass through bother coordinates given)

y = mx + c       (Using the point (2,0))

0 = (-0.5)(2) + c

c = 1

Since we have the y-intercept, a formula can be created for the line, and rearranging it, we can then find the correct option.

y = mx + c

y = (-0.5)x + 1

2y = -x + 2

x + 2y = 2

Answer:

120 degrees

Step-by-step explanation:

These are called supplementary angles. These are angles that add up to 180 degrees.

To solve this, you need to know that a triangle's interior angles should all add up to 180 degrees, no matter how weird the triangle looks.

For squares and other stuff it's 360 degrees

But as shown, all three interior angles of this triangle are the same. This means each of them is 60 degrees.

60 + 60 + 60 = 180

-----------------------------------------------------------------------------------------------------------------

To find X, we know that the angle of a straight line is 180 degrees. Since X and that one interior angle share the same line,

we subtract 60 from 180 to get the remaining angle of X.

180 - 60 = 120 degrees.

Answer:2 per candy bar

Step-by-step explanation:

14-2=12 12/6=2

Answer: 1:3 2:6 3:9  1:3 is answer

Step-by-step explanation:

a)

well, we know the final score is just the sum of "t" and "i", so hmmm we can just call the final score say "f", thus  f = t + i.

b)

student A

f = 30 + 40 => f = 70.

student B

f = 40 + 20 => f = 60.

student C

f = 30 + 50 => f = 80.

c)

the highest score above is from student C or 80, in order to have a higher score than that you would need a final score of 81.  You already earned 35 points for "t", so from "i" you'd need 81 - 35 = 46, so if you earn for interpretation 46 points, your final score will be f = 35 + 46 => f = 81.

Answer:

The dimensions of the frame must be 13 inches and 6 inches

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the lengths of its sides

- The rectangle is a quadrilateral with each two opposite sides are

 equal so the perimeter of the rectangle = 2l + 2w, l and w are the

 length and the width of it

- Candice has 38 inches of trim

- She wants to make a picture frame

- The frame is shaped a rectangle where its length is 5 inches less

  than three times the width

- Assume that the length is l and the width is w are the dimensions

 of the frame

∵ l = 3w -5 ⇒ (1)

∵ The perimeter of the frame is the length of trim

∵ The length of the trim is 38 inches

∴ The perimeter of the frame is 38 inches

∵ Perimeter of the frame = 2l + 2w

∴ 2l + 2w = 38 ⇒ (2)

- Substitute equation (1) in equation (2)

∴ 2(3w - 5) + 2w = 38

- Multiply the bracket by 2 and add like terms

∴ 6w - 10 + 2w = 38

∴ 8w - 10 = 38

- Add 10 for both sides

∴ 8w = 48

- divide both sides by 8

∴ w = 6

- Substitute the value of w in equation (1) to find l

∵ l = 3w - 5

∴ l = 3(6) - 5 = 18 - 5 = 13

∴ l = 13

∵ l and w represent the length and the width of the frame

∴ The dimensions of the frame must be 13 inches and 6 inches

Answer:

x= 8 2/3

Step-by-step explanation:

subtract 1/3 from both sides. 9-1/3 is 8 and 2/3.

Answer:

3n-30

Step-by-step explanation:

Answer: 3n-30

Step-by-step explanation: plato

36

+57

------

93

On a number line: Start at 0. Count forward until you reach 36. Once you've reached 36, Mark it. Then you go forward 57, from the mark you made at 36. You should end up on 93 on the number line.

Answer:

False

Step-by-step explanation:

Let us start with the most obvious one:

27 - z = 7

-27 - 27

_________

-z = -20

z = 20 [Plug this back into the other two equations to get the y-coordinate and x-coordinate of 4½ and -9½]; 4½ = y; -9½ = x

So, the solution is [-9½, 4½, 20].

I am joyous to assist you anytime.

Answer:

I don't get the "number of 40" part, but here's my best shot!

3(40x)-5

Step-by-step explanation:

Answer:

(3*40)-5=115

Step-by-step explanation:

Answer:

One hundred and twenty three million six hundred and eight thousand nine hundred and two point nine hundred and four. Hope this helps you!

Answer:

13.2 liters

Step-by-step explanation:

Answer:

13.2489412

Step-by-step explanation:

Answer:Prime factorization:  

135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5. 1 + 3 + 5 = 9. Nine is a multiple of both 3 and 9, so this quick divisibility trick lets us know that both 3 and 9 are factors of 135. 135 = 1⁵ x 3³ x 5¹.

Answer:

The answer is three times 3.

Step-by-step explanation:

In order to determine the answer, we have to know about factorization.

Any number can be expressed by prime numbers. The procedure is:

In this case, we need to know how many factors of 3 have the number.

[tex]135/3=45\\45/3=15\\15/3=5\\5/5=1\\\\135=3^3*5[/tex]

As we can see, there are three times the factor 3.

Finally, the answer is three times 3.

Answer:

7.3 in

Step-by-step explanation:

area = 27 = 54/2 = (x^2)/2

so what squared is 54?

7.34 whatever inches.

round it down, that's 7.3.

Answer: 7.3 in

Step-by-step explanation:

To find the the value of x, we will simply use the formula of area of a triangle, substitute the values and then solve.

From the diagram above, the height of the triangle is x and also the base of the triangle is also x, the area of the triangle is  27 sq. in

Area of a triangle =  [tex]\frac{1}{2}[/tex]  base × height

              27             =  [tex]\frac{1}{2}[/tex]   ×   x ×  x

              27               = [tex]\frac{1}{2}[/tex]   ×       x²

                27              =    [tex]\frac{x^{2} }{2}[/tex]

          cross  multiply

                    2   ×  27   =  x²

                        54    =    x²

Take the square roots of both-side

                    √54       =       √x²

                      7.3        =         x

                       x         =       7.3

Therefore the value of x is 7.3 in.

Answer:

[tex]4\dfrac{2}{7}[/tex]

Step-by-step explanation:

How to calculate the mean absolute deviation:

Step 1: Calculate the mean.

[tex]\text{Mean}=\dfrac{49+55+52+46+47+42+38}{7}=47[/tex]

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

[tex]\begin{array}{ccccccc}\text{Sun}&\text{Mon}&\text{Tue}&\text{Wed}&\text{Thu}&\text{Fri}&\text{Sat}\\49&55&52&46&47&42&38\\2&8&5&1&0&5&9\end{array}[/tex]

Step 3: Add those deviations together.

[tex]\sum|\text{mean}-x_i|=2+8+4+1+0+5+9=30[/tex]

Step 4: Divide the sum by the number of data points.

[tex]\text{MAD}=\dfrac{\sum|\text{mean}-x_i|}{n}=\dfrac{30}{7}=4\dfrac{2}{7}[/tex]

Answer:

4 2/7

Step-by-step explanation:

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo  1/2 would change into 2/1   which is 2 and we would addd the negative sign so

Y=-2x+4

Answer:

the desired equation is y = -2x + 8.

Step-by-step explanation:

Given a line with slope 1/2, we find the negative reciprocal of that to obtain the slope of a line perpendicular to the given line:  m = -2.

Recall that at an x-intercept, y = 0.  Here we're told that the x-intercept is (4, 0).  Therefore, y = mx + b becomes 0 = -2(4) + b, or b = 8.

Then the desired equation is y = -2x + 8.

A parallelogram has 2 sets of parallel sides. However, a trapezoid only has 1 set.

Answer:

x-y=-4

y-x=4

y=x+4

(x,y)=(1,5),(2,6),(3,7),...

u see it doesn't have a particular answer any pair of numbers with 4 difference will do

Answer:

A

Step-by-step explanation:

A product is the answer you get when you multiply 2 numbers together.

So you are starting backwards. Get the product first.

12*x

Now you want to take 8 away from it.

12x - 8 is what you get.

A

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

It appears i cant answer your question but what i can do is provide this paragraph as a trade for points. Appreciate your help. :)

Answer:

HJ = 33

Step-by-step explanation:

Given that point I is on segment HJ, then

HJ = HI + IJ ← substitute values

3x - 9 = x + x + 5, that is

3x - 9 = 2x + 5 ( subtract 2x from both sides )

x - 9 = 5 ( add 9 to both sides )

x = 14

Hence

HJ = 3x - 9 = (3 × 14) - 9 = 42 - 9 = 33

The numerical length of HJ is 33

The given parameters;

distance of HI = x

distance of HJ = 3x - 9

distance of IJ = x + 5

To find:

A sketch of the positions of the line segments is shown below;

|<-----x------->|<--------------------------x+5------------------------------>|

H---------------I----------------------------------------------------------------J

The value of x will be calculated by setting up the following equation;

HI + IJ = HJ

x + x + 5 = 3x - 9

2x + 5 = 3x - 9

collect similar terms together;

2x - 3x = -9-5

-x = -14

x = 14

The numerical length of HJ is calculated as;

HJ  = 3(14) - 9

HJ = 42 - 9

HJ = 33

Thus, the numerical length of HJ is 33

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Answer:

The answer is x>-4

Answer:

2342423

Step-by-step explanation:

asdadadsada

Answer:  see table

Step-by-step explanation:

The number of weeks are multiples of 2 (every 2 weeks) and the number of paintings are multiples of 7 (7 paintings every 2 weeks).

[tex]\begin{array}{c|c}\underline{\text{Week}}&\underline{\text{Paintings}}\\2&7\\4&14\\6&21\\8&28\\10&35\\12&42\\14&49\\16&56\\18&63\\20&70\end{array}[/tex]

The amount of weight for a child who weighs 50 pounds on Earth would weigh on mercury would be = 18.88Ib.

To determine the weight of a child using means and extremes, the following steps should be taken as follows;

The ratio of the weight of the child on Earth and Moon = 125: 47 2/10

That is; 125: 47.2

Therefore 50Ib on earth would= ?

That I ;

125 = 47.2

50 = X

make X the subject of formula;

X = 50× 47.2/125

= 2360/125

= 18.88Ib.

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https://brainly.com/question/25973294

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