determine if 2, 8 ,14 ,20 is an arithmetic sequence. If so find the common difference and the next three terms.

Answer:

A

Step-by-step explanation:

law of sine

c/sin(C) = b/sin(B) = a/sin(A)

with the sides and corresponding angles being always opposite.

sin(90) = 1

sin(30) = 0.5

c, the Hypotenuse, is the longest side in such a right-angled triangle.

c/1 = b/0.5

b = c×0.5 = c/2

so, one side has to be half the length of the longest side (Hypotenuse).

the only answer meeting that criteria is A.

the longest side is 10×sqrt(3) = 17.32...

the side half of that is 5×sqrt(3).

and Pythagoras for such a triangle is then

c² = (c/2)² + a²

c² = c²/4 + a²

so, a² = 3c²/4

c² = c²/4 + 3c²/4

therefore we can check also the third side

15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²

correct.

A is such a triangle.

Answer:

each child will get 2 1/3 quarts of juice each

Step-by-step explanation:

Question 7

Total amount of juice = 1 4/6 + 2 + 2 + 2 + 2 2/6 + 2 5/6 + 2 5/6 + 3 = 56/3

Number of children = 8

If the juice was shared equally:  56/3 ÷ 8 = 7/3 = 2 1/3 each

Therefore, each child will get 2 1/3 quarts of juice each

Answer:

6x-21+5 = -19           Distribute

6x-16 = -19               Combine like terms

6x = -3                       Add

x = -1/2                    Division

Answer: x=-1/2 in decimal form -0.500

Step-by-step explanation:  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(2*x-7)+5-(-19)=0

3 • (2x - 7) +  5) -  -19  = 0

Pull out like factors :

  6x + 3  =   3 • (2x + 1)

Solve  :    2x+1 = 0  

Subtract  1  from both sides of the equation :  

                     2x = -1

Divide both sides of the equation by 2:

                    x = -1/2 = -0.500

Answer:

9 cm^2

Step-by-step explanation:

The area of a triangle is calculated with the following formula:

1/2*b*h (b: base, h: height)

The base is given as 3 and height is 6 so

1/2*3*6 = 9 cm^2 is the answer we are looking for.

Answer:

4/11 or 0.36

Step-by-step explanation:

Answer:NOT C

Step-by-step explanation:

Answer:

Any value you choose for x will make the equation a TRUE statement. This type of equation is called an identity, and the solution set is all real numbers.

An identity is an equation that, regardless of the values used, is always true.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

An identity is an equation that, regardless of the values used, is always true.

For the linear equation y = mx + c, all the values of the variable x are real numbers because the quadratic function is defined.

For the quadratic equation y = (x - h)² + k, all the values of the variable x are real numbers because the quadratic function is defined.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

The rule is "Subtract 9"

n = 11

Step-by-step explanation:

To find the rule you have to find what's common with all of them. This requires a little bit of testing.

THINK

Do I divide by 10? No because it doesn't work for all of them.

Do I divide by 4? No because it doesn't work for all of them.

Do I subtract by 9? Yes because it works for all of them.

Rules can be a lot of things. Subtraction, multipilcation, division, addition, or with variables.

Answer:

The third one x+49+28=180

Step-by-step explanation:

We can say that the angle between the 29° angle and the 49° angle is equal to x, since they are vertically opposite angles.

The sum of 28+49+x is equal to a supplement angle which is a straight line essentially

We can then say x+28+49=180

:)

If you want to calculate x,

x=180-28-49

x=103

Answer: x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

24x + 6y = 144.

18x + 3y = 90.

Divide the (24x + 6y = 144) by 3.

8x + 3y = 48.

18x + 3y = 90.

Cancel the 3y.

8-18x = -10x.

48-90 = -42.

-10x = -42.

x = 4.2

8(4.2) + 3y = 48.

33.6 + 3y = 48.

Cancel out the whole number.

3y = 14.4

y = 4.2

The cost of a flower is $3 and a bush is $12.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

Tiana placed two orders for flowers and bushes.

The first order was for 24 flowers and 6 bushes.

The total cost of the first order was $144.

The second order was for 18 flowers and 3 bushes.

The total cost of the second order was $90.

Let x be the number of flowers and y be the number of bushes.

So, we have a system of equations,

24x + 6y = 144

18x + 3y = 90

Simplifying,

4x + y = 24

6x + y = 30

Subtracting the equations,

we get,

2x = 6

x = 3, and y = 12

Therefore, the solution is x = 3, and y = 12.

To learn more about the system of equations;

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Answer:

b. y=2x-2

Step-by-step explanation:

y=mx+b

m= slope

b=y intercept

Answer:

320,145

Step-by-step explanation:

Anything under 5 goes down and anything above 5 goes up.

Answer:

300,000

Step-by-step explanation:

Given the following question:

[tex]324145[/tex]

To round to the nearest hundred thousand of this number we must first find the hundred thousand place value and then determine if the number next to that place value is greater than five, if so, we can round the number up.

[tex]324145[/tex]
[tex]PV=3[/tex]
[tex]2 < 5[/tex]
[tex]=30000[/tex]

Rounded to the nearest hundred thousand "300,000" is your answer.

Hope this helps.

Answer:

7^2 +7^2=  c^2. c will be your hypotenuse  

Step-by-step explanation:

Answer:

5.38

Step-by-step explanation:

Step-by-step explanation:

Step 1: 5x - 3 + 3 = 12 + 3

Step two: 5x = 15

Step three: 5x/5 = 15/5

Step four: x = 3

Answer:

step one- 5x-3+3=12+3

step two- 5x=15

step three- 5x/5=15/5

step four- x=3

Answer:

(0, 13)

Step-by-step explanation:

y=mx+b is representative where m is the slope and b is the y intercept. The b here is 13. On the graph, on the line where it crosses the y axis, the coordinates would be (0, 13).

Answer:

[tex]Day\ 3 = 16237[/tex]

[tex]Day\ 1 = 16390[/tex]

[tex]Day\ 2 = 16550[/tex]

Step-by-step explanation:

Given

[tex]Day\ 1 = 16390[/tex]

[tex]Day\ 2 = 16550[/tex]

[tex]Day\ 3 = 16237[/tex]

Required

Order from least to greatest

Comparing 16390, 16550 and 16237.

The order of arrangement from least to greatest is:

16327, 16390 and 16550.

So, we have:

[tex]Day\ 3 = 16237[/tex]

[tex]Day\ 1 = 16390[/tex]

[tex]Day\ 2 = 16550[/tex]

Answer:

○ [tex]\displaystyle \textcolor{black}{D.}\:x = -100[/tex]

Explanation:

All you need to do is perfourm the the inverce of division [multiplication] to arrive at the result:

[tex]\displaystyle -100 = 5[-20][/tex]

I am joyous to assist you at any time.

Answer:

5mph

Step-by-step explanation:

5mph

Answer:

A,b,c,n

Step-by-step explanation:

Answer: 45%

Step-by-step explanation:

27/60 squares are covered

I reduced the fraction to 9/20, multiplied by 5 to make the denominator 100 and the numerator is 45, therefore fraction is 45/100.

Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of (x-2, y) unit(s) and a across the x-axis.

Step-by-step explanation:

The triangle ABC is shown in the image attached. The coordinates of the triangle are A(8, 8), B(10, 4), C(2, 6), while the triangle A'B'C' is at A'(6, -8), B'(8, -4), C'(0, -6).

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is translated a units on the x axis and b units on the y axis, the new coordinate is O'(x+a, y+b).

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y)

Hence if triangle ABC is translated -2 units on the x axis (2 units left), the new coordinates are A*(6, 8), B*(8, 4), C*(0, 6). If a reflection across the x axis is then done, the new coordinates are A'(6, -8), B'(8, -4), C'(0, -6).

Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of 2unit(s) left and reflected across the x-axis.

Step-by-step explanation:

Answer:

20 percent

Step-by-step explanation:

4/20 or 1/5 or 20 percent

Answer:

A. 60-degrees N of E because it is closer to the east than the north.

Step-by-step explanation: