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vampirchik [111]
4 years ago
8

What is the area of the polygon

Mathematics
1 answer:
Mrrafil [7]4 years ago
7 0
Split this polygon into 2 shapes of triangle (top) and rectangle (bottom)
Area of triangle = 1/2 bh = 1/2 (7)(2) = 7 
Area of rectangle = wl = 7 x 5 = 35

so
Area of the polygon = Area of triangle + Area of rectangle
= 7 + 35
= 42

Answer
42 square units
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Find the slope of the line that passes through (39, -29) and (54, -20).
mestny [16]
The answer will be 3/5

to find the slope you must use the formula
y1-y2/x1-x2.
6 0
3 years ago
Janet worked 3 hours more than David and 7 hours less than Kate. David earned $7.50 per hour, Janet earned $6 per hour, and Kate
grandymaker [24]

We want to write and solve a system of equations to see how much each person earns.

What each one earned is:

  • Janet = $78
  • Kate =  $180
  • David = $75

Let's define:

  • J = number of hours that Janet worked.
  • D = number of hours that David worked.
  • K = number of hours that Kate worked.

The information is:

<em>"Janet worked 3 hours more than David and 7 hours less than Kate"</em>

From this we can write:

J = D + 3

J = K - 7

We know that:

  • David earned $7.50 per hour.
  • Janet earned $6 per hour.
  • Kate earned $9 per hour.

Finally, we know that Kate earned $27 more than David an Janet combined, then we can write:

$9*K = $27 + ($7.50)*D + $6*J

Then we have a system of equations:

J = D + 3

J = K - 7

$9*K = $27 + ($7.50)*D + $6*J

We can rewrite the first and second equations to get:

D = J - 3

K = J + 7

Now we can replace these two in the other equation to get:

$9*(J + 7) = $27 + ($7.50)*(J - 3)+ $6*J

Now we can solve this for J:

$9*J + $63 = $27 + $7.50*J - $22.50 + $6*J

$9*J - $7.50*J - $6*J = $27 - $63 - $22.50

-$4.50*J = -$58.60

J = (-$58.60)/(-$4.50) = 13

This means that Janet worked for 13 hours.

And with:

K = J + 7 = 13 + 7 = 20

D = J - 3 = 13 - 3 = 10

We can see that Kate worked for 20 hours and David for 10 hours.

Then each one of them earned:

Janet = 13*$6 = $78

Kate = 20*$9 = $180

David = 10*$7.50 = $75

If you want to learn more, you can read:

brainly.com/question/9351049

5 0
2 years ago
The length of a rectangle is 7 inches and the width is (x + 2) inches. Write an expression in simplest form that represents the
Harrizon [31]

Answer:

7(x+2)

Step-by-step explanation:

7x +14 is that eventually equals out to

3 0
3 years ago
Which of the following numbers is between 0.08 and 0.4?
Delicious77 [7]

Answer:

C

Step-by-step explanation:

the numbers between 0.08 and 0.4 are:

0.09, 0.10, 0.11, 0.12, 0.13, 0.14, 0.15, .16, 0.17, 0.18, 0.19, 0.20, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39

I bolded the number closest to your answer choices, hope this helps!

3 0
3 years ago
PLEASE HELPPPPL!!!
KiRa [710]

Answer:

(0,1) (0.333,0)

(7,0)

m=1

Step-by-step explanation:

4 0
3 years ago
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