Why the following triangles are congruent!

Answer:

Step-by-step explanation:

|<----------------- 71 ----------------------->|

E-----------------------F---------------------G

       2x + 13                 20

find: x

EF + FG = DG

2x + 13 + 20 = 71

2x = 71 - 20 - 13

x = 38 / 2

x = 19

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

if i am not wrong i think it is 1 bc u can only cut a verticle line in the middle, then i dont see any other ways.

Answer:One is 2 feet and one is 4 feet

Step-by-step explanation:

Answer:

I cannot see image

Step-by-step explanation:

Answer:

(-20,-20)

Step-by-step explanation:

You can draw it out on a graph to see that the point 20 units down (south) and 20 units left (west) is (-20,-20), or you can subtract 20 from both the x and y values. [(x-20),(y-20)]

Answer:

B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4

Answer:

So ummmm..... I personally think that all of your answers on the first page should be flipped.

Second page:

#9: domain= [0,6] range=[-6,6]

#10: Domain= (-infinity, infinity) range: (-infinity, infinity)

#11: Domain= (-infinity, infinity) range: [-2, infinity)

Thats all I have time for

(Write infinity as the sideways 8)

A function is a relationship between input values and output values such that each input has exactly one output

The correct values are;

First page

11. A skateboarder motion

Second page

9. The square is not a function

10. Domain; -∞ < x < ∞

Range; -∞ < x < ∞

11. Domain of the graph is; -∞ < x < ∞

Range is; 2 ≤ y < ∞

12. A circle is not a function

13. Domain is; -∞ < x < ∞

Range; -2 ≤ y ≤ 4

14. Domain; -∞ < x < ∞

Range; y = 2

15. The relationship is a function

16. The relationship is not a function

17. The relationship is not a function

18.The given relationship is not a function

19. The relationship is a function

20. The relationship is not a function

21. The relationship is a function

22. The relationship is not a function

Reason:

First page;

11. The given graph can be described by the following real life situation;

Second page;

The domain and range of a

The domain of a function is set values of the input to the function where the function is defined

The range of a function are is the set of the output values of the function

9. The given figure of a square is not a function

10. The graph extends to infinity towards the top right, and the bottom left

11. The graph of the function extends infinity at the top left and top right

The graph has a minimum at y = 2, while it extends to infinity as the y-values increases, therefore;

12. The graph of a circle is not a function

13. The end behavior of the graph is as follows;

The graph is repeating and extending to infinity at the left and right ends

Therefore;

The maximum y-value is y = 4, the minimum y-value is y = -2, therefore;

14. The graph of the function is an horizontal line, y = 1, extending to infinity to the left and right, therefore;

Therefore;

15. The given data are; {(-2, 6), (2, 0), (3, 0), (4, -1), (5, 3)}

The relationship is a function

16. The given data values are presented as follows;

{(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}

The relationship is not a function

17. The given data are presented as follows;

[tex]\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{y}\\-2&&-3\\-1&&0\\5&&5\\4&&3\\-1&&7\end{array}\right][/tex]

The x-value, -1, has two different outputs, 0, and 7, therefore, the data is not a function

The relationship is not a function

18. In the given data, the x-value, 6, has two y-values, 3 and 5, therefore, the given relationship is not a function

19. The given graph is a function because each vertical line drawn from the horizontal axis, crosses the data points only once

The relationship is a function

20. The given graph is not a function because each vertical line crosses the graph only once

The relationship is not a function

21. The graph of is a function because each vertical line drawn from the horizontal axis crosses the graph at one point only

The relationship is a function

22. The graph is not a function because it has several points on the side that is vertical to the y-axis

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Answer:

-11

Step-by-step explanation:

f(x) = 5x + 11

g(x) = x^2 + 4x - 11

g(f(-3)) = ?

f(-3) = 5(-3) + 11

= -15 + 11 = -4

g(f(-3)) = g(-4) = -(4)^2 + 4(-4) - 11

= 16 - 16 - 11 = -11

A function assigns the value of each element of one set to the other specific element of another set. The value of g(f(-3)) is -11.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x)=5x+11 and g(x)=x²+4x-11, therefore, we can write the value of g(f(x)) as,

g(f(x)) = (5x + 11)² + 4(5x + 11) - 11

         = 25x² + 121 + 110x + 20x + 44 - 11

         = 25x² + 130x + 154

Now, substitute the value of x as -3 in the function g(f(x)), therefore, we can write,

g(f(-3)) = 25x² + 130x + 154

          = 25(3)² + 130(-3) + 154

          = 225 - 390 + 154

          = -11

Hence, the value of g(f(-3)) is -11.

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Answer:

5(x+3)

Step-by-step explanation:

:)

Answer:

x = -11.2

Step-by-step explanation:

0.1 + 0.2x + 0.3 + 0.05x = -2.4

Combine like terms on the left side.

0.25x + 0.4 = -2.4

Subtract 0.4 from both sides.

0.25x = -2.8

Divide both sides by 0.25.

x = -11.2

Answer:

5 2/3

Step-by-step explanation:

I'm not sure how to explain, but 5 2/3 divided by itself is 1...

I hope this helped a little bit still. Have a great day c:

Answer:

10 Hours

Step-by-step explanation:

I believe the question is saying they rode for 8 days and of those 8 days they rode the whole 24 hours, so by that logic:

8 days x 24 hours: 192 Hours

192/18 people = 10.66

10.66 ~ 10 Hours

I hope this helped!

Answer: 166.667 miles

Step-by-step explanation:

For the first company, the cost can represented by the equation: y=0.25m +50+15

Which is the same as y=0.25m +65

For the second company, the cost can represented by the equation:0.35m+40

m is the miles driven

To find at after how many miles they cost the same, I will set both equations equal to each other to solve for m

0.25m+65=0.35m+40

-0.25m -0.25m

65=0.15m+40

-40 -40

25=0.15m. Divide both sides by 0.15

166.667=m

So after 166.667 miles, the companies charge the same.

You can also round it again: 166.67 or 166.7 or 167

Answer:

for the top its the first one

Step-by-step explanation:

a function is when a number has one corresponding number (some say exponent or other words)

A relation may or may not represent a function

The relations that represent a function are: (a) first ordered pair and (c) the linear graph

For an ordered pair to be a function, each x values must not point to several y-values

For a graph to represent a function, it must pass the vertical line test.

Based on the above highlights, the relations that represent a function are:

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Answer:

$53.95

Step-by-step explanation:

83*0.65

=53.95

Answer:

8/21

Step-by-step explanation:

1- 2/7 - 1/3 = 21/21 - 6/21 - 7/21 = 8/21

Answer: 3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

easy flip them and make it into mixed fractions  hope it helps

Answer:

D. [tex]3\sqrt{22b}[/tex]  

I hope this helps!

Answer:

it turns to a positive

Step-by-step explanation:

2 negatives will equal a positive number.

Answer:

It just means that it will be easier for you to subtract them.

Step-by-step explanation:

Because all you have to do is subtract them how you would and just take the decimal and move it down the row and that is it.

you would do 3x24

answer=72

Answer:

Step-by-step explanation:

3*24=72

24/3=8

Answer:

reflection or translation

Step-by-step explanation:

this is more then likely the answer depending on how the 2 shapes are aligned and matched.

eg(the sides or shape is the exact same)

translation: is the exact shape and size just moved to another area

Answer:

take away the ', ', and '

Step-by-step explanation: if you take them away a'b'c' becomes abc

Answer:

0.8

Step-by-step explanation:

f (5) = 9.8 - 1.8(5)

         9.8 - 9 = 0.8

Answer:

42.5%

Step-by-step explanation:

First we have to complete the table. We know that there are forty part time students so sum(f)=n=40. So, for two courses frequency is 40-11-12=17.

The relative frequency is the proportion of respective frequency and the sum of frequency. So, the missing relative frequency for 1st course is 11/40=0.275.

The missing relative frequency can also be computed as by subtracting given relative frequencies from 1 as sum of relative frequencies is 1. So, 1-0.425-0.3=0.275.

The cumulative frequency of respective class is the sum of frequency of previous classes and frequency of respective class. The missing cumulative frequency is 11+17+12 or 28+12= 40.

So, the complete table is

# of Courses Frequency Relative Frequency Cumulative Frequency

1                        11                   0.275                    11

2                        17                  0.425                    28

3                         12                  0.3                        40

The percent of students takes exactly two courses=0.425*100=42.5%

Answer:

10^12.

Step-by-step explanation:

You need to solve 10^6 * 10^2 without using standard notation. As with variables, if you had x^6 * x^2 you would add the exponents. Replace x with 10. Your answer is 10^8. As a sidenote, only multiply exponents when raising a power to another power, e.g. (10^6)^2 = 10^12.

Answer:

10000000

Step-by-step explanation:

Answer:

I guess 09.222....

Step-by-step explanation:

Answer:

Step-by-step explanation:

x  - the other number  (the smaller one)

x+8  - 8 more than the other number (the larger number)

[tex]\dfrac{x+8}x=\dfrac75\\\\(x+8)\cdot5=x\cdot7\\\\5x+40=7x\\^{\quad-40\qquad-40}\\{}\quad5x = 7x-40\\^{\quad-7x\quad-7x}\\-2x=-40\\^{\div(-2)\quad\div(-2)}\\{}\ \ x=20\\\\x+8=28[/tex]

Answer: I think the answer is D

Step-by-step explanation:

Option - C is the correct option.

We have a statement - If a polygon has exactly 4 sides, it is a quadrilateral.

We have to write the contrapositive of this conditional statement.

A combination of the converse and the inverse is called Contrapositive of the Conditional statement. Contrapositive will replace if with then and vice - versa and after that both parts are negated.

According to the question, we have a statement -

If a polygon has exactly 4 sides, it is a quadrilateral.

Firstly, replace ' if ' with ' they ' and vice - versa. We get -

If a polygon is a quadrilateral, than it does have exactly four sides.

Now, negate it -

If a polygon is not a quadrilateral, it does not have exactly 4 sides.

Hence, Option C is correct.

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