Answer:
C:
Step-by-step explanation:
Both angles add up to 180°
<BCG + <BFG = 180°
2x+146+4x+238=180
6x+384 = 180°
6x = 180-384
6x = -204
Dividing both sides by 6
x = -34
Answer:
114 cm²
Step-by-step explanation:
Area of shaded region
= area of circle -area of square
![\boxed{area \: of \: circle = \pi {r}^{2} }](https://tex.z-dn.net/?f=%5Cboxed%7Barea%20%5C%3A%20of%20%5C%3A%20circle%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%7D)
Given that radius= 10cm, r= 10cm.
![\boxed{area \: of \: square = side \: \times side}](https://tex.z-dn.net/?f=%5Cboxed%7Barea%20%5C%3A%20of%20%5C%3A%20square%20%3D%20side%20%5C%3A%20%20%5Ctimes%20side%7D)
Let the length of a side of the square be x cm.
Applying Pythagoras Theorem,
10² +10²= x²
100 +100= x²
x²= 200
![x = \sqrt{200}](https://tex.z-dn.net/?f=x%20%3D%20%20%20%5Csqrt%7B200%7D%20)
Area of square
= x²
= 200cm²
Area of shaded region
= 3.14(10²) -200
= 3.14(100) -200
= 314 -200
= 114 cm²
![\\ 5600:56=100 \\](https://tex.z-dn.net/?f=%20%5C%5C%205600%3A56%3D100%20%5C%5C%20)
5600 is 100 times larger than 56
C The smaller the number in an inequality is always located to the left of the number on the horizontal line!!