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.

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]

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

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

Answer: 20

Step-by-step explanation:

Answer:

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

Answer:

-2.1

Step-by-step explanation:

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 :)  

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

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

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:

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

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.

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.

To learn more on Number system click:

https://brainly.com/question/22046046

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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.

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

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.

Learn more about constant of proportionality on:

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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.

Answer:c=2b+12

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

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:-83/25 and 27/40

Answer: 760 mm thick

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

Answer:

B

Step-by-step explanation:

0.4 x 16.8 or 40% off of 16.80 is 12

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.

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

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

Answer:

The answer is letter C.

Step-by-step explanation:

hope this helps

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

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.

Answer:

8.785 x 10^9

Step-by-step explanation:

Answer:

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

Step-by-step explanation: