The two triangles shown are congruent by the SAS Theorem Which statements, when combined, describe a sequence
of rigid motions which maps AABC to AEDF?

Step-by-step explanation:

Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.  

x + (x + 8) + (x + 13) = 72

Now we can rearrange and solve for x.

3x + 21 = 72

3x = 51

x = 17

Answer:

E

Step-by-step explanation:

"If the expression has exponents or square roots, they are to be performed after parentheses and other grouping symbols have been simplified and before any multiplication, division, subtraction and addition that are outside the parentheses."

Answer:

4.5

Step-by-step explanation:

7 1/2 X 6 = 45.

Then you just add the decimal point to get 4.5.

Answer:

The value of tan A: 40/9

i.e.

tan A = 40/9

Step-by-step explanation:

Given

Hypotenuse = 41

To determine

m ∠ A = ?

Using the trigonometric ratio

tan A = opposite / adjacent

Here:

Thus, substituting opposite = 40 and adjacent = 0 in the equation

tan A = opposite / adjacent

tan A = 40/9

Therefore, the value of tan A: 40/9

i.e.

tan A = 40/9

Answer:

x ≤ 9

Step-by-step explanation:

First, Isolate the variable by subtracting 8.

1/3x<= 3

Multiply both sides by 3

x<= 9

Answer:

x≤9

Step-by-step explanation:

Step 1: Subract 8 from both sides.

1/3x+8-8≤11-8

1/3x ≤3

Step 2: Multiply both sides by 3.

3*(1/3x)≤(3)*(3)

x≤9

Answer:

Step-by-step explanation:

Dear Ms Striclend,

I don’t think you meant to, but you made a mistake putting in the value for the computer system. Can you please explain to me how you made the mistake?

Thanks!

my name

Answer:

Length 3

Width 3

Height 4

Step-by-step explanation:

Length x Width x Height

3 x 3 x 4 = 36 cm :)

Answer:

Combinations could include:

2, 3, 6

6, 6, 1

3, 3, 4

4, 9, 1

Answer: [tex]\dfrac14[/tex]

Step-by-step explanation:

Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.

Let  orange candy= cherry = lemon = strawberry  = x

Total candies = x + x + x + x= 4x

The probability that a randomly selected candy is orange = [tex]\dfrac{x}{4x}=\dfrac14[/tex]

Hence, the probability that a randomly selected candy is orange = [tex]\dfrac14[/tex]

Answer:

Michelle < Staci < Kelly < Kyle

Kyle is the greatest distance from work, while Michelle is the closest to work.

Step-by-Step Explanation:

1 kilometer = 0.62137119 mile(s)

4.5 miles = 0.62137119 × 4.5 = 2.79617036 kilometers

4,200 meters = 4.2 kilometers

670,000 centimeters = 6.7 kilometers

So,

Michelle = 2.8 kilometers (rounded up)

Kelly = 5.6 kilometers

Staci = 4.2 kilometers

Kyle = 6.7 kilometers

So,

Michelle < Staci < Kelly < Kyle

Kyle is the greatest distance from work, while Michelle is the closest to work.

Hope this helps! ^^

Answer:

a). Yes. Area will be less than 100 square in.

b). Area of octagon = 82 in²

Step-by-step explanation:

From the picture attached,

a). Octagon is inscribed in a square having one side = 10 inches.

Since, octagon is obtained by cutting off the four equal corners of the square,

Area of octagon will be less than the area of the square.

Area of square = (side)²

                         = 10²

                         = 100 in²

Therefore, area of octagon will be less than 100 in²

b). Since, corner cut off from the square are equal in shape and area,

   Area of one corner (right angle triangle) = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                                      = [tex]\frac{1}{2}(3)(3)[/tex]

                                                                      = 4.5 in²

   Area of 4 corners = 4.5 × 4 = 18 in²

   Area of octagon = Area of square - Area of 4 corners removed

                               = 100 - 18

                               = 82 in²

Answer:

Angle R is equal to 35 and DE is equal to 48

Step-by-step explanation:

In similar triangles, like these, the angles will always be the same to its correspondent. Angle E in the other triangle is 35 degrees so R, its corresponding angle, will be the same. So therefore R is 35.

This is not the same case for sides. There will always be a ratio between both triangles. The ratio in this case is 1.2 to 1. So multiply RP (DE's corresponding side), by 1.2. You will get 48. So therefore DE is equal to 48.

Hope this helped! Please mark me as brainliest!

Answer:

20%

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.

For x=0, ...

  y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept

For x=1, ...

  y = -4·1 -1 = -5 . . . . the point is (1, -5)

The attached graph shows these points and the line through them.

Answer: A yes. Each input has only one output.

Step-by-step explanation:

functions are determined by each input only having one output.

Answer:

Answer is A

Step-by-step explanation:

Answer:

Let

Total number of people (T)=1600

those satisfied with the car (t) =720

The percentage of the satisfied people(S)= number of satisfied people divided by the total number of people who took part in the survey, multiplied by 100

=> S=(T/t)*100

S=(720/1600)*100

S=45%

Step-by-step explanation:

Answer:

I got B

75+20+85=180

Answer:

y=2x is it I think because the y intercept is the origin

Answer:

x + y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

x + (x - y) + y + (y - x)

Step 2: Simplify

Answer: The line representing the function has its y-intercept at 40. So, the initial value of the function graphed is 40.

Step-by-step explanation:

The equation of the line passing through the points (-2,3) and (-3,5) will be 2x + y + 1 = 0 and the rate of change is negative 2.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A linear function passes through the points (-2,3) and (-3,5). Complete the following tasks to find the equation of the function.

Then the equation of the line passing through the points (-2,3) and (-3,5) will be

[tex]\begin{aligned} y - 5 &= \dfrac{5-3}{-3 + 2} (x + 3)\\\\y - 5 &= -2 (x + 3)\\\\y - 5 &= -2x -6\\\\2x + y + 1 &= 0 \end{aligned}[/tex]

The rate of change is negative 2.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

Answer:

( -1, 2)

Step-by-step explanation:

Since this is asking for elimination, you will need to line up x or y to be the opposite amount:

-3x -5y = -7

-4x + 5y = 14

(notice -5y and 5y are already opposite, therefore no further actions are needed to line them up.)

Next step is to add both equations up to eliminate y and to find x:

-7x = 7

x = -1

After finding x, plug the x back into either one of the equations to solve for y. If you are unsure, you can plug it into the other equations to double check.

If you chose to do equation 1:

-3(-1) -5y = -7

3 -5y = -7

-5y = -10

y = 2

If you chose to do equation 2:

-4(-1) + 5y = 14

4 + 5y = 14

5y = 10

y = 2

After finding x and y, you will find the point ( -1, 2)

Answer:

$29.66

Step-by-step explanation:

6% taxes is 1.68 , 27.98+ 1.68= $29.66

Sales tax:

[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]

[tex]\\ \tt\longmapsto 1.67[/tex]

Total=

Answer:

1/5

Step-by-step explanation:

The volume is found by multiplying the height, width, and length. So to find the height, you need to divide 1/100 by 1/4 and 1/5.

1/100 divided by 1/5 = 1/20

1/20 divided by 1/4 = 1/5

Hope this helps :)

Answer:

18x-15

Step-by-step explanation:

Answer: Missing value is 6

Step-by-step explanation: -9+6=-3

Answer:

negative 4 and negative 1

Answer:

Step-by-step explanation:

3×x+4×3

3x+12

Answer:

Step-by-step explanation:

The first step would be to multiply out the bracket. So, using this example we would times each item inside the bracket by 3.

As a result we would get: 3x + 12 = 18

Then we would need to move the 'x' value to one side of the equation and the rest of the equation to the other side. To move '12' onto the other side of the = sign we need to subtract 12 from both sides.

This would then bring us to: 3x = 6

Finally, to find the value of 'x' we then need to divide both side of the equation by 3.  

Resulting in the final answer of x = 2

Answer:

C & E

Step-by-step explanation:

Answer:

C.) The length of the major axis is 32 units.

E.) One of the foci is approximately

Step-by-step explanation:

Answer:

Y Intercept : (-3, 0)

X Intercept : (0, -1.2)