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natulia [17]
3 years ago
13

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sur

e to include the correct unit in your answer.

Mathematics
1 answer:
Vesnalui [34]3 years ago
8 0

Answer:

12 m squared

Step-by-step explanation:

area of triangle is 1/2 base x height

base x height is 28 so 1/2 is 14

the area of the rectangle is base x height

1 x 2 = 2

14-2 = 12

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Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is x dollar and cost of one popcorn is y dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50  and  total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)

Multiplying equation (1) by -3 , we will get.....

-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)

Now, adding equation (2) and equation (3) , we will get ............

5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75

Plugging this y=3.75 into equation (1) ......

2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75


6 0
3 years ago
Shannon drew the line of best fit on the scatter plot shown below:
N76 [4]
Using the points (0,14) and (10,0), the gradient of the line is (14-0)/(0-5) which simplifies to -7/5.

From these points, we can also see that when the x value is zero, the y value is 14. Therefore the y-intercept is 14.

We can then put this into the equation of a straight line, y=mx+c:

y = (-7/5)x + 14
6 0
3 years ago
Read 2 more answers
~Can someone please help me with these questions?~
konstantin123 [22]

Answer:

the answer is B, complementary angles

Step-by-step explanation:

complementary angles are two angles that add up to 180 degrees

105 + 75 = 180

8 0
3 years ago
Calculate the missing angle measures in each figure
dalvyx [7]

Answer:

a:36 b:30

Step-by-step explanation:

A:180-56, since it is a straight line.

180-124-20= 36

B:180-120=60

60+3x+1x=180

60+4x=180

4x=120

x=30

4 0
3 years ago
I need help with that plz got it rong it’s not 4
stepan [7]

Answer:

3

Step-by-step explanation:

x = 3

3 0
3 years ago
Read 2 more answers
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