Both FI and GJ are diameters.
Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
For this case what you must do is find the diagonal of the square to find the diameter of the circle and then be able to obtain the radius.
We have then:
A = L ^ 2 = 128
L = root (128)
L = 11.3137085
Then, the diagonal of the square knowing its sides is:
d = root ((L) ^ 2 + (L) ^ 2)
d = root ((11.3137085) ^ 2 + (11.3137085) ^ 2)
d = 16 feet
Finally the radius of the circle is:
r = d / 2
r = (16) / 2
r = 8feet
answer:
the radius of the circle is
r = 8feet
Hello there!
2x - 7 = 3
Solve for x
2x = 3 + 7
2x = 10
x = 10/2
x = 5
Therefore, the number of x in the equation is 5
Let me know if you have additional question!
Answer:
here you go..............
