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fgiga [73]
3 years ago
9

What is the area of this composite shape?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0
<h3>Answer:  51 square inches</h3>

=======================================================

Explanation:

There are a few ways to do this. One way is to divide the figure as shown in the diagram below. I divided it into a rectangle and a triangle. Find the area of the rectangle and triangle, then add up those areas to get the final answer.

A = area of rectangle

A = length*width

A = 7*6

A = 42

B = area of triangle

B = 0.5*base*height

B = 0.5*(6-3)*(13-7)

B = 0.5*3*6

B = 1.5*6

B = 9

C = total area

C = A+B

C = 42+9

C = 51 square inches

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zzz [600]

          Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.

[23] ABD = 42°, DBC = 35°

(4x - 2) + (3x + 2) = 77°

4x+ 3x + 2 - 2  = 77°

4x+ 3x= 77°

7x= 77°

x= 11°

-

ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°

DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°

[24] ABD = 62°, DBC = 78°

(4x - 8) + (4x + 8) = 140°

4x + 4x + 8 - 8 = 140°

4x + 4x = 140°

8x = 140°

8x = 140°

x = 17.5°

-

ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°

DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°

6 0
1 year ago
Please answer with explanation if nonsense answers I will report so please answer properly​
alexgriva [62]

Answer:

  • x = 2

Step-by-step explanation:

<u>We know that</u>

  • The diagonals of a rectangle are of equal length
  • The diagonals bisect each other

<u>Considering the above we have:</u>

  • EG = HF = 2JF = 2JH

<u>Substitute the given values and solve for x:</u>

  • 24x - 8 = 2*(8x + 4)
  • 24x - 8 = 16x + 8
  • 24x - 16x = 8 + 8
  • 8x = 16
  • x = 16/2
  • x = 2
3 0
2 years ago
The steps below show the incomplete solution to find the value of y for the equation 4y – 2y – 4 = –1 + 13:
Sunny_sXe [5.5K]
You add the 4 to both sides of the equation.
5 0
3 years ago
Evaluate 10.2x + 9.4y when x=2 and y=3
vekshin1
10.2 x 2 = 20.40
9.4 x 3 = 28.20
Total= 48.60
5 0
3 years ago
What is the sum of all integers from -2016 to 2016?​
ololo11 [35]

Answer:

4032 integers.

Step-by-step explanation:

Lest start with -2016. There are 2016 integers from -2016 to 0. Then we see how many integers are from 0 to 2016. there are 2016. If you add them up, you get 4032.

6 0
3 years ago
Read 2 more answers
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