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sdas [7]
3 years ago
7

Find the area of the missing piece of the polygon and explain your process for finding it:

Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

42

Step-by-step explanation:

In short, the sum of the opposite areas are equal.

x + 30 = 24 + 48

x = 42

To prove this, draw a line from each corner to the "center" where the four lines meet.  Along each side of the square are two triangles.  These triangles have the same base and the same height, and therefore have the same area.

If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:

a + b = x

b + c = 24

c + d = 30

a + d = 48

Adding the first and third equations:

a + b + c + d = x + 30

Adding the second and fourth equations:

a + b + c + d = 24 + 48

Therefore:

x + 30 = 24 + 48

x = 42

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aleksandr82 [10.1K]

Answer: Choice B

(-1,0), (-1,-2), (-3, -1), and (-3, -2)

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

Explanation:

Let's focus on the point (2,0)

If we shift it 3 units to the left, then we subtract 3 from the x coordinate to get 2-3 = -1 as its new x coordinate. The y coordinate stays the same.

That means we move from (2,0) to (-1,0)

Based on this alone, choice B must be the answer as it's the only answer choice that mentions (-1,0).

If you shifted the other given points, you should find that they land on other coordinates mentioned in choice B.

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- 3x + 4 and passes through the point (2,5)
Anuta_ua [19.1K]

Answer:

y=(x+13)/3

Step-by-step explanation:

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y-5=1/3(x-2) y=x/3+13/3 or y=(x+13)/3

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