Substitute the value of x = -3 to the equation:
The equation of circle in standard form is 
<h3><u>Solution:</u></h3>
Given that circle having center point (3,7) and the radius r = 4
To find: equation of circle in standard form
<em><u>The equation of circle is given as:</u></em>
Where center (h,k) and radius r units
Given that center point (h , k) = (3, 7) and radius r = 4 units
Substituting the values in above equation of circle,
Thus the equation of circle in standard form is
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
