Answer:
C should slot on top of A.
Then D should slot in next to C of the left.
Lastly B should be beneath D and on the left of A.
Hope that makes sense.
Answer:
36.5 square units
Step-by-step explanation:
There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.
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<h3>Geometry</h3>
The figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...
A = 1/2bh
Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...
A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5
The area of the bounding rectangle is ...
A = bh = 9×7 = 63
So, the area of the figure is the difference ...
A = 63 -26.5 = 36.5 . . . square units
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The other methods of finding the area have been added as attachments.
Circumference = 2 x 3.142 x r
9 = 6.284 x r
9 ÷ 6.284 = r
r = 1.43 cm
Answer:
I believe x = 2.
Use distributive prop. to get rid of parentheses:
3x-12=-4x+2
Move the -12 over to the other side. Since everything that goes to the other side changes signs, the "-" sign will change to a "+" sign. Move the -4x to the other side as well. Remember to change the sign!
3x + 4x = 2 + 12
Now combine like terms:
7x = 14
To get the x fully isolated, we need to divide both sides by 7 so we can get rid of the 7.
7x/7 = 14/7
x = 2
Hope this helped! :)