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
40,000 divided by 10 is 4,000
Answer:
A. D=sqrt( (x2-x1)^2+(y2-y1)^2 )
Step-by-step explanation:
The distance between two points is the root of the sum of the squares of the differences in their corresponding coordinates. The equation of choice A is the usual formulation.
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<em>Comment on answer choices</em>
Because the square of a number is the same as the square of its opposite, the formula in choice D is also correct.
48 m³
Step-by-step explanation:
A cube has equal length width and height
A cube in this case has length 1m meaning the width and height are also 1 m each in length.
The volume of the cube is (L * W * H) = 1 * 1 * 1 = 1 m³
If 48 of these can fit in the bigger box, then the bigger box has the volume of;
48 * 1 m³ = 48 m³
Learn More:
For more on volume of a cube check out;
brainly.com/question/7543014
brainly.com/question/9719931
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