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3 years ago

What is the reason for statement 4 in this proof?

Mathematics

2 answers:

Gemiola [76]3 years ago

7 0

they are the same angle just flipped.

~Matya

Gnoma [55]3 years ago

3 0

The reason for statement 4 is because they are the same angle just flipped.

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I have no idea what I am doing. Here is one of my problems,

Alisiya [41]

You need to set up a linear graph. One side with gallons and the other with dollars. Point 1 will be at (1500, 2.10). Point 2 (1300, 2.95). Draw a straight line through these points in your graph and your graph will then give you the answers to your other questions.

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3 years ago

Members of the student concil are conducting a fundraiser by selling school calendars. After selling 80 calendars, they had a lo

Oksana_A [137]

Answer:

a) $y=8x-1000$

b) $profit=\$8$

c) They'd have lost $1000 if they had sold no calendars.

Step-by-step explanation:

a) The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

In this case we know that "y" represents the profit of loss and "x" the number of calendars sold.

Then, according to the exercise, the line passes through these two points:

$(80,-360)$ and $(200,600)$

Then, we can find the slope of the line with the formula $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-360-600}{80-200}=8$

Now, we can substitute the slope and one of those points into $y=mx+b$ and solve for "b":

$600=8(200)+b\\\\b=-1000$

Then, subtituting values, we get that the equation that describes the relation between the profit of loss and the number of calendars sold, is:

$y=8x-1000$

b) The slope of the line is the profit they made from selling each calendar

$profit=8$

c) The y-intercept is the amount they would have lost if they had sold no calendars:

$b=-1000$

They'd have lost $1000 if they had sold no calendars.

6 0

3 years ago

The bar graph shown here provides the numbers of scoops of different ice cream flavors that were sold during school lunch today.

Mila [183]

C is the answer because 10 - 6 = 4 and 6 + 4 = 10

3 0

3 years ago

Read 2 more answers

Solve for the variable <br> -14 = x -7<br> -12x = 60<br> x+11 = -11<br> - x/4 = 2

Maurinko [17]

1) x= -7
2) x= -5
3) x=-22
4) x =8
Not sure about the last one tho
I tried to help :)

6 0

3 years ago

Read 2 more answers

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4-x and y = 2x + 3 intersect are the s

ale4655 [162]

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4-x and y = 2x + 3 intersect are the solutions of the equation 4-x = 2x + 3.

Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.

Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.

x values 4 -x    2x + 3

-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6    2(-2)+3 =-1
-1 4-(-1)=5 2(-1)+3 = 1
0 4-0=4 2(0)+3 = 3
1 4-1=3    2(1)+3=5
2 4-2=2 2(2)+3 = 7
3    4-3=1    2(3)+3 = 9

The the solution is between x = 0 and x =1

Part C: How can you solve the equation 4-x = 2x + 3 graphically?

Draw in a same graph both functions y= 4 - x and y = 2x +3.

Then read the x-coordinates of the intersection point. That is the solution.

3 0

3 years ago