Answer:
<h3>x = 27.5</h3>
Step-by-step explanation:
![(x - 3)2 = 49 \\ \frac{(x - 3)2}{2} = \frac{49}{2} \\ x - 3 = 24.5 \\ x - 3 + 3 = 24.5 + 3 \\ x = 27.5 \\](https://tex.z-dn.net/?f=%28x%20-%203%292%20%3D%2049%20%5C%5C%20%20%5Cfrac%7B%28x%20-%203%292%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B49%7D%7B2%7D%20%20%5C%5C%20x%20-%203%20%3D%2024.5%20%5C%5C%20x%20-%203%20%2B%203%20%3D%2024.5%20%2B%203%20%5C%5C%20x%20%3D%2027.5%20%5C%5C%20)
The correct answer:
The corresponding segments BC and AD in the image are parallel
<u>Answers with step-by-step explanation:</u>
1. Area of sector 1 = ![\frac{90}{360} \times \pi \times 12^2 = 36\pi](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B360%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%2012%5E2%20%3D%2036%5Cpi)
2. Area of sector 2 = ![\frac{45}{360} \times \pi \times 19^2 = \frac{2527}{8} \pi](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B360%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%2019%5E2%20%3D%20%5Cfrac%7B2527%7D%7B8%7D%20%5Cpi)
3. Area of sector 3 = ![\frac{270}{360} \times \pi \times 15^2 = \frac{675}{4} \pi](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B360%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%2015%5E2%20%3D%20%5Cfrac%7B675%7D%7B4%7D%20%5Cpi)
4. Area of sector 4 = ![\frac{270}{360} \times \pi \times 6^2 = 27 \pi](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B360%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%206%5E2%20%3D%2027%20%5Cpi)
5. Arc length of sector 1 = ![\frac{90}{360} \times 2 \times \pi \times 12 = 6\pi](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%20%5Cpi%20%5Ctimes%2012%20%3D%206%5Cpi)
6. Arc length of sector 2 = ![\frac{315}{360} \times 2 \times \pi \times 19 = \frac{133}{4} \pi](https://tex.z-dn.net/?f=%5Cfrac%7B315%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%20%5Cpi%20%5Ctimes%2019%20%3D%20%5Cfrac%7B133%7D%7B4%7D%20%5Cpi%20)
7. Arc length of sector 3 = ![\frac{270}{360} \times 2 \times \pi \times 15 = \frac{45}{2}\pi](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%20%5Cpi%20%5Ctimes%2015%20%3D%20%5Cfrac%7B45%7D%7B2%7D%5Cpi%20)
8. Arc length of sector 4 = ![\frac{270}{360} \times 2 \times \pi \times 6 = 9\pi](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%20%5Cpi%20%5Ctimes%206%20%3D%209%5Cpi)
Step-by-step explanation:
option b ie. 98 degree
if you do angle 2 +10x+8=180
from 10x +8 and 12x -10 we can get the value of X