Move point A to different locations to change the orientation of the parallel lines. (You'll notice that the tool keeps AB and CD parallel to each other) Be sure that points A and B do not cross EF. Do the relationships among the angles that you noted in questions 2 through 4 change if you modify the set of parallel lines this way? Explain.

Answers

Answer 1

Answer:

S.A for Edmentum and Plato

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No. For each set of parallel lines, pairs of alternate interior angles are congruent, pairs of alternate exterior angles are congruent, and pairs of same-side interior angles are supplementary. This is the same result as in questions 2 through 4.

Answer 2

No. For each set of parallel lines, pairs of alternate interior angles are congruent, pairs of alternate exterior angles are congruent, and pairs of same-side interior angles are supplementary. This is the same result as in questions 2 through 4.

How to explain the parallel lines

If we modify the set of parallel lines by moving point A to different locations while ensuring that points A and B do not cross line EF, the relationships among the angles will not change. The statements regarding pairs of alternate interior angles being congruent, pairs of alternate exterior angles being congruent, and pairs of same-side interior angles being supplementary will still hold true.

The reason for this is that the properties of alternate interior angles, alternate exterior angles, and same-side interior angles are dependent on the fact that lines AB and CD are parallel. As long as AB and CD remain parallel, regardless of the position of point A, these angle relationships will remain consistent.

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Related Questions

The perimeter of a rectangle is less than 10 inches. The length is x and the width is x − 5. If the solution is x < 5, then the length is less than 5. Is this a viable solution?
viable
non-viable?

Answers

Answer:

Its viable

Step-by-step explanation:

Answer:

non-viable

Step-by-step explanation:

I just did this quiz, and this is correct. Trust me.

Eileen mows her neighbors' lawns for a fee of $12. Eileen charges an additional $2 for every square meter she mows. Which function can be used to determine how many dollars, c, Eileen will make after mowing b square meters of grass? c = 12b + 2 c = 2b + 12 c = 14b c = 24b
WILL MARK BRAINLEST

Answers

Answer:c=2b+12

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

List the angles in order from smallest to largest.
smallest to largest
Options are U, T,S place in order smallest to largest

Answers

Answer:

T, S, U

Step-by-step explanation:

Answer:

U S T

Step-by-step explanation:

The largest angle is going to be opposite the longest side. It stands to reason that the two arms that define the enclosed angle (t) have to have their arms stretched further away from each other in order to accommodate T. So T is the largest angle.

By a similar line of reasoning, the second largest angle is opposite the second largest side. S is the second largest angle.

The smallest angle is opposite the smallest side.

The depth y (in inches) of a lake after x years is represented by the equation y=0.2x+42 . How much does the depth of the lake increase in four years

Answers

Answer:

42.8 in

Step-by-step explanation:

Step one:

given data

we are told that the expression for the depth of a lake after x years is given by

[tex]y=0.2x+42[/tex]

Required

The value of y when x= 4

Step two:

substitute the value of x in the expression to get y

[tex]y=0.2(4)+42\\\\y=0.8+42\\\\y=42.8\\\\[/tex]

After 4 years the depth will increase by 42.8 in

Lines AAA, BBB, and CCC show proportional relationships.
Which line has a constant of proportionality between yyy and xxx of 555?

Answers

The line that has a constant of proportionality of 5 between y and x is: line A.

How to Find the Constant of Proportionality?

The constant of proportionality of a proportional relationship is found using the formula:

Constant of proportionality, k = y/x, where (x, y) is any point on the proportional graph.

Find the constant of proportionality for line A using a point, (1, 5):

Constant of proportionality, k = y/x = 5/1 = 5

Find the constant of proportionality for line B using a point, (3, 5):

Constant of proportionality, k = y/x = 5/3

Find the constant of proportionality for line C using a point, (3, 2):

Constant of proportionality, k = y/x = 2/3

Therefore, the line that has a constant of proportionality of 5 between y and x is: line A.

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Fred, is a skycap at the airport. He helps passengers load and unload their bags in front of the airport. He is paid $7.00 per hour. During an 8-hour shift, he averages $40 in tips. About how much does he earn per day?

Answers

Answer:

7x + 40 = total each day

7(8 hours) + 40 (tips)

56 + 40 = 96

$96 per day

Answer: $96

Explanation:

$7.00 * 8 = $56.00

$56 + $40 = $96

how does knowing the slope and y-intercept help you graph and write the equation of a line?

Answers

Answer:

It allows to to know y-intercept formula which is used to graph a line.

Step-by-step explanation:

Which is SMALLER, -6.3 or -6.1?

Answers

i believe the answer is -6.3

my explanation is because -6.3 is less than -6.1 so technically it makes it smaller. if you were to add to -6.3 you would get -6.1 on the x axis.

Evaluate the expression |-12|

Answers

Answer:

it's 12

Step-by-step explanation:

when the number is between those boxes whether it's negative or positive, it's automatically a positive.

Answer:12Hope this helps!!

Adam is building a rectangular planter without a top. The planter will be 14 cm wide, 20 cm long, and 30 cm high. How much wood is needed to make the bottom and sides of the planter? (show working as well)

Answers

Answer: The surface area of the planter will be 120.5 square feet.

Step-by-step explanation:  in our shape, we will have 5 sides. The base and the four sides going up from each edge of the base.

The base will be 7 x 5 = 35 square feet.

The front and back side will each be 7 x 0.75 = 5.25 square feet.

The left and right side will each be 5 x 0.75 = 3.75 square feet.

If we add up the 5 faces we get:

35 + 5.25 + 5.25 + 3.75 + 3.75 = 120.5 square feet

6) 8,785,000,000 in scientific notation is ?

Answers

Answer:

8.785 x 10^9

Step-by-step explanation:

PLEASE HELP ME IN MATHHH PLS​

Answers

Answer:-83/25 and 27/40

math
Match the answers

Answers

Answer:

No solution

Infinitely many solutions

One solution

Step-by-step explanation:

The first expression:

           -2(3x  - 1) = -6x -1

  Expand the parentheses;

           -6x + 2  = -6x -1

             -6x + (-6x) = -1 -2

                 0 = -3

This problem has no solutions

Second expression:

          2(3x-1) = 6x -2

  Expand the parentheses;

          6x - 2  = 6x -2

           6x -6x = -2 + 2

             0 = 0

This problem has infinitely many solutions

Third expression:

2(3x - 1) = -6x -2

    Expand the parentheses;

       6x -2 = -6x - 2

        6x + 6x = -2 + 2

           12x = 0

               x  = 0

This equation has only one solution

write the equation in exponential form:
log(2)128=7

Answers

Answer: 2^7

Step-by-step explanation: 2 to the power of 7 would be one of the many ways to interact with this equation. This way being the exponential response. (Check your sources before this answer.)

Answer:

2^7 is the crt ans☺️☺️☺️☺️

kelsey charges 4.50 per hour for babysitting. If she works for 8 hours on Saturday and 6 hours on Sunday, how much does she earn

Answers

ANSWER: $63

Saturday:
4.50 x 8 = 36
Sunday:
4.50 x 6 = 27

36 + 27 = 63

whats 1+1 i need to know asap

Answers

This is probably the hardest question I've ever had to answer. I'm going to take a wild guess and say 2?????

Find the value of x in the triangle shown below.
16
12

Answers

Answer: 20

Step-by-step explanation:

Given f(x)=5-3x, if f(x)=-19, find x

Answers

X would equal 8

Step-by-step explanation:

5-3(8) = -19

5 multiplied by negative 3 times 8 equals negative 19

negative 3 times 8 equals negative 24 plus 5 equals 19

1 point
A shirt is on sale for 40% off. The sale price is $12. How much was the
original price? *
20.00
16.80
19.20
8.00

Answers

16.80 I think, please let me know if I got it wrong

Answer:

B

Step-by-step explanation:

0.4 x 16.8 or 40% off of 16.80 is 12

Someone knows the answer

Answers

Answer:

11/6

Step-by-step explanation:

when run is from 3 to 6 on the x-axis

raises from about 3 to 9 on the y-axis so is about

9-3/6-3 = 6/3=2

the closest fraction to 2  is 11/6

can someone please help me ??

Answers

Answer:

The answer is letter C.

Step-by-step explanation:

hope this helps

It’s c hopefully it helps

2.8 = w - 4.9 w = _____

Answers

Answer:

-2.1

Step-by-step explanation:

The answer is -2.1 yw

Hellp meee please I’m about to fail this subject!

Answers

Answer:

So first you have to do 12-2 since it's in parenthesis. It is 10. 5+4 is 9, and 9 times 10 is 90. 3 squared is 9, then you divide 90 by 9. The answer is 10.

I have no idea??? I'm 3rd grade.

A credit card is 0.76 mm thick. How thick is a stack of 10*3 credit cards? Explain your reasoning.

Answers

Answer: 760 mm thick

Step-by-step explanation: Because 10 cubed equals 1000, just multiply .76 by 1000 and you get your answer.

Meredith
says that 15.17 is greater than 15.8
because 17 is greater than 8. Do you
agree? Explain your reasoning

Answers

Answer:

No

Step-by-step explanation:

Because in the number 15.8, it is equal to 15.80. 80 is more than 17.

15.17 is not greater than 15.8. Meredith statement is wrong.

What is Number system?

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

We need to compare both the numbers 15.17 and 15.80.

For comparing two number we need to check the integer part and decimal part.

The integer part  is same for both the numbers. so let us move towards decimal part. in tenth place 15.17 has 1 and for 15.80 it has 8.

We know that 8 is greater than 1.

Hence 15.8 is greater than 15.17. Merediths answer is wrong.

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Can. Y’all help with this

Answers

Answer:

Your Answer Would be the 3rd Option.

Step-by-step explanation:

The Initial Value is : 4. All you have to do is look for when the x = 0

ROC: 1/2. Minutes =x, Inches= Y. To find ROC, take

Y2 - Y1

----------

X2 - Y1

Replacing those with numbers:

5 - 4

-------

2 - 0

Your ROC is 1/2 .

Equation:

y= 1/2x + 4

Know that The 4 is the initial value, so it's always in that spot. Your ROC is always Next to the x, which also means it's the slope.

Solve using long division
(x² – 3x - 40) + (x+5)

Answers

The chosen topic is not meant for use with this type of problem.

However, if you simplify it, your answer is:

x^2 − 2x − 35

yeah not sure if you took a picture of the wrong problem or not but this equation can’t be solved with long division, it can however be simplified to x^2-2x-35

Which characteristics tell you that this graph shows a proportional relationship? Check all that apply

Answers

Where is the graph to provide info

Answer:

2&4

2: A straight line can be drawn through the points.

4: The line connecting the points passes through the origin.

explanation: got it right

What is the value of m? Please provide an explanation, thanks!

Answers

Answer:

∠m=124°

Explanation:

There are a few different ways that you could go about this but the simplest way is to first notice that Angle n is congruent to the angle above it. That tells us that n = 56 degrees. Because angle m and n are supplementary angles their sum needs to add up to 180. So if we subtract 56 from 180 we get 124 degrees, and there is your answer.

Hope this helps :)  

PLEASE HELP!!!
solve for the unknown: 3^x=9^x+5, 27^4x=9^x+1, 5^x=25^3x+5.

Answers

Step-by-step explanation:

[tex]3^x=9^{x+5}\\\\3^x=\left(3^2\right)^{x+5}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\3^x=3^{2(x+5)}\iff x=2(x+5)\qquad|\text{use the distributive property}\\\\x=2x+10\quad|\text{subtract}\ 2x\ \text{from both sides}\\\\-x=10\qquad|\text{change the signs}\\\\\huge\boxed{x=-10}[/tex]

[tex]27^{4x}=9^{x+1}\\\\\left(3^3\right)^{4x}=\left(3^2\right)^{x+1}\\\\3^{(3)(4x)}=3^{2(x+1)}\iff(3)(4x)=2(x+1)\\\\12x=2x+2\qquad|\text{subtract}\ 2x\ \text{from both sides}\\\\10x=2\qquad|\text{divide both sides by 10}\\\\x=\dfrac{2}{10}\\\\\huge\boxed{x=0.2}[/tex]

[tex]5^x=25^{3x+5}\\\\5^x=\left(5^2\right)^{3x+5}\\\\5^x=5^{2(3x+5)}\iff x=2(3x+5)\\\\x=(2)(3x)+(2)(5)\\\\x=6x+10\qquad|\text{subtract}\ 6x\ \text{from both sides}\\\\-5x=10\qquad|\text{divide both sides by (-5)}\\\\\huge\boxed{x=-2}[/tex]

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