Answer:
Step-by-step explanation:
When you reflect over the line y=-x, you flip the x and y coordinate and multiply them by negative one, so for example (2,3) would become (-3,-2) or (-1,7) would be (-7,1). Using this rule you can find the new point for each point in the figure. The point lying on (-2,1) would be reflected to (-1,2). The point on (-4,1) would move to (-1, 4). The point on (-4,-1) would be moved to (1,4). The point lying on (-3,-1) would be reflected onto (1,3). The point on (-3,-2) would be on (2,3). Lastly, the point on (-2,-2) would be reflected to (2,2). i hope this helped lol. :)
Answer:
The answer to your question is: length = 14 ft; width = 3 ft
Step-by-step explanation:
Data
Area = 42 ft²
length = 8 + 2w
w = width = ?
length = ?
Formula
Area = length x width = l x w
Substitution
42 = (2w + 8)w
42 = 2w² + 8w
2w² + 8w - 42 = 0
Dividing by 2
w² + 4w - 21 = 0 Factorize
(w + 7) (w - 3) = 0
w1 = -7 w2 = 3
It's not possible to have negative widths
So the answer is w = 3 ft
length = 2(3) + 8
length = 6 + 8
length = 14 ft
"A and B must be disjoint" is the one among the following choices given in the question that must be true for <span>P (A and B) = P (A) * P (B). The correct option among all the options that are given in the question is the fourth option or option "D". I hope that this is the answer that has come to your great help.</span>
Answers:
x = 72
y = 83
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Explanation:
Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.
Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.
Pentagon EFGHD has the following five interior angles
- E = x
- F = 130
- G = 170
- H = 65
- D = 103
Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.
For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.
This means,
E+F+G+H+D = 540
x+130+170+65+103 = 540
x+468 = 540
x = 72
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Now focus your attention on triangle THS
We see that the interior angles are
The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.
For any triangle, the angles always add to 180
T+H+S = 180
y+65+32 = 180
y+97 = 180
y = 180-97
y = 83
Answer: 108$
Step-by-step explanation:
