Which of the following is the best definition of vertical angles?

Vertical angles are angles formed by two intersecting lines.
Vertical angles are formed by intersecting a vertical and horizontal line.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
Vertical angles are a pair of congruent angles with a vertical line of symmetry.

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]

[tex]y=3x+b[/tex]

[tex]-3=3(4)+b[/tex]

[tex]-3=12+b[/tex]

[tex]-15=b[/tex]

[tex]y=3x-15[/tex]

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]

The total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.

The formula for calculating the mean of numbers is expressed according to to the formula;

[tex]\overline x=\frac{\sum x}{n} \\[/tex]

n is the total sample space

[tex]\overline x[/tex] is the mean of the samples

[tex]\sum x[/tex] is the sum of the variables

If the mean number of tickets sold by five drama club members was 16, then;

[tex]16=\frac{\sum x}5}\\\sum x = 16 \times 5\\\sum x_1 = 80[/tex]

If she took ten random samples from the entire drama club of 75 students with a mean number of 22.5, hence;

[tex]\sum x_2 = 75[/tex]

Since the total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.

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There are 28 days in 4 weeks.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

There are 7 days in a week, so to convert weeks to days, we multiply the number of weeks by 7. For example, if we have 2 weeks, we would multiply 2 by 7 to get 14 days.

In this case, we are given 4 weeks and asked to convert it to days. So we multiply 4 by 7 to get:

4 x 7 = 28

Therefore, there are 28 days in 4 weeks.

Learn more about Mathematical operations here:

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#SPJ2

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

Answer:

1.34

Step-by-step explanation:

Used a Calculator

Answer:

1.34

Step-by-step explanation:

4.69/3.5

=1.34

Answer:

2. a & c

3. a, b & c

Step-by-step explanation:

Substitute each solutions to the question to see if you get the answer

a. 5(2)-0=10 -- so (2,0) is the solution

b. 5(3)-0=15 -- (3,0) is not the solution

c. 5(0)-(-10)=10 -- (0,-10) is the solution

d. 5(1)-(1)=4 -- (1,1) is not the solution

a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution

b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution

c. -(2)+ 6(2) = 10 -- so (2,2) is the solution

d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution

Answer:

-10x+7.5

Step-by-step explanation:

Answer:

10$

Step-by-step explanation:

dollars hope it helps

Answer:

its 10$

Step-by-step explanation:

Step-by-step explanation:

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Answer:

57/10,000

Step-by-step explanation:

9/11% = 0.57% = 0.0057  

57/10,000

Answer: I think it might be negative

Step-by-step explanation:

[tex]\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207[/tex]

Answer:

Step-by-step explanation:

Conclusion:

Therefore, Step 3 includes the mistake.

Hoped this helped.

[tex]GeniusUser[/tex]

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A domain migration simply means the shifting between domains without impairment.

A domain migration will result in a temporary loss of traffic. This is because it needs time for it to be processed and updated. After this is done, there will be an uplift in SEO traffic.

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Answer:

He caught 13 squirtles

Step-by-step explanation:

104/8 = 13 squirtles

Squirtles divided by pidgeys

Answer:

1.05678988E31

Step-by-step explanation:

Answer:

₹1680

Step-by-step explanation:

Road  Length (m)  Width (m)   Area ([tex]m^{2}[/tex])

  1            80              10              800

  2           60              10               600

(800+600) = 1400 ([tex]m^{2}[/tex])

1400 ([tex]m^{2}[/tex])*(₹ 1.20/m) = ₹1680

Hi,

[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]

a)

[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]

b)

[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]

;)

Answer:

slope = 2

Step-by-step explanation:

Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:

(-2, -1) and (0, 3)

Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a rise of 4. The x went from -2 to 0, so that is a run of 2. "rise over run" means rise literally over run in a fraction like this:

[tex]m=\frac{rise}{run}[/tex]

The more proper way to calculate slope looks like this, but it's really the same thing in the end:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) and (x2, y2) are your 2 points.

Finally, the slope of this line is:

[tex]m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2[/tex]

That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.

Answer:

Step-by-step explanation:

Answer: Both of the Givens go in the left top boxes, and then in the right top boxes you would put B is the midpoint of AD and CE and then AC is equal to DE. In the third and fourth boxes on the left, you would put CB = EB and then AB is equal to DB. In the third and fourth boxes on the right you put both of the Def. of Midpoints. Then, in the last box to the left, you would put triangle ABC = DBE. In the final box to the right you would put Side-Side-Side Congruency.

Step-by-step explanation:

1) ac≅de, given

2) b is the midpoint, given

3) ab≅db, defn midpoint

4) cb≅eb, defn midpoint

5) abc≅dbe, side side side

Answer:

We can make 3 whole groups of 2.

Hope that helps. x

Step-by-step explanation:

2, 4, 6, 8

The closest number near to 7 is 6 so we do 6 divided by 2 which equals 3.

Answer:

That is very true and should be added

For the 1st equation,

Answer:

A. 2x + y = 20

Hope you could get an idea from here.

Doubt clarification - use comment section.

Step-by-step explanation:

In the given problem, there are two plans that can be represented with a linear function.

A = total monthly cost of Plan A for every x number of movies that Sadie watches per month

Slope: $3 = The additional cost for every x number of movies watched per month

Y-intercept: $21 = The monthly cost of Plan A  

Combining these elements together, we can establish the following linear function: A(x) = 3x + 21

B = total monthly cost of Plan B for every x number of movies that Sadie watches per month

Slope: $1.50 = The additional cost for every x number of movies watched per month

Y-intercept: $27 = The monthly cost of Plan B    

Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27  or  [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].

In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.

Similarly for Plan B, start with plotting the y-intercept, (0, 27).

Then, use the   [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex]  (rise 3, run 2), to plot the other points on the graph.

Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.

The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B.  The interval notation is: [0, 4).

This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.          

Answer:

:(((((((

Step-by-step explanation: sorry i dont know