Solve for x: 12x2 – 6 (a2 + b2)x + 3a2b2 = 0
1 answer:
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Answer:∠1 = ∠3 = ∠5 = ∠7 = 77.5°
∠2 = ∠4 = ∠6 = ∠8 = 102.5°
Step-by-step explanation:
In the picture attached, the parallel lines and the transversal are shown.
8 angles are formed, where:
∠1 ≅ ∠3 ≅ ∠5 ≅ ∠7
∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8
On the other hand, ∠1 + ∠2 = 180°, and ∠2 is 25° greater than ∠1, that is ∠1 + 25° = ∠2, therefore:
∠1 + ∠1 + 25° = 180°
2∠1 = 180° - 25°
∠1 = 155°/2
∠1 = 77.5°
and
∠2 = 77.5° + 25° = 102.5°
A washer has outer radius 
and inner radius 
![\displaystyle V = \int_0^1 \pi\Big[ \left( 2 - x^2 \right)^2 - \left( 2 - \sqrt{x}\right)^2\Big] dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cint_0%5E1%20%5Cpi%5CBig%5B%20%5Cleft%28%202%20-%20x%5E2%20%5Cright%29%5E2%20-%20%5Cleft%28%202%20-%20%5Csqrt%7Bx%7D%5Cright%29%5E2%5CBig%5D%20dx)
