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Anastaziya [24]
3 years ago
14

Given that the images represent 4 steps in the construction of a line segment congruent to a given line segment, which is step 3

in the construction?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.

Step-by-step explanation:

Start with a line segment PQ that we will copy. Mark a point R that will be one endpoint of the new line segment. Set the compasses' point on the point P of the line segment to be copied. Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.


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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
What is the solution to the equation 4x-6=10x-3
egoroff_w [7]

Answer:

x = -1/2

Step-by-step explanation:

4x - 6 = 10x - 3

  +6            +6

4x = 10x + 3

-10x   -10x

-6x = 3

/-6    /-6

x = -1/2

8 0
3 years ago
It took Mary 40 minutes to run 8 laps around the playground, if she spent the same time running each lap, how long would it take
Sergeeva-Olga [200]

Answer:

it should take her 45 minutes to run 9 laps

Step-by-step explanation:

40/8 = 5

9*5 = 45

8 0
3 years ago
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You have lunch at an Italian restaurant. The cost of lunch before tax is
coldgirl [10]

7/100 = 0.07

0.07 * 12.5 = 0.88

20/100 = 0.2

0.2 * 12.5 = 2.5

2.5 + 0.88 = 3.38

3.38 + 12.50 = 15.88

You spend a total of $15.88.

4 0
3 years ago
Read 2 more answers
12a +5 identify the coefficient
ioda

Answer:

The coefficient is "12"

Step-by-step explanation:

Step 1: Encircle the variable along with its power whose coefficient we are finding.

Step 2: Leave that variable and consider all other numbers or variables written with it. That will be the coefficient.

4 0
2 years ago
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