Prove the theorem which states that the angle subtended by a cord is twice at the centre than at the circumference
1 answer:
9514 1404 393
Explanation:
<u>Given</u>:
- The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BAC
- angle BAC = α + β
<u>Prove</u>:
- angle BOC = 2×angle BAC
<u>Proof</u>:
∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°
2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°
∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles
(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1
∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides
∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion
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Answer:
Only 6
Step-by-step explanation:
We need to factor the equation to find the solution. TO factor we need to find what times what = 36, and what plus what equals -12.
-6 times -6 = 36
and -6 + -6 = -12
So this can be factored into
(x-6)(x-6)=0
We can find the solution by setting each parentheses equal to zero.
x-6 = 0
x = 6
So the only solution is 6
I attached an image that shows an example of factoring.
Option C
<u>ANSWER: </u>
The scientific notation of 108200000 is So the correct option is c.
<u>SOLUTION: </u>
Given,the average distance from Venus to the Sun is 108,200,000 kilometers.
We need to find the above given distance in the scientific notation.
Scientific notation is nothing but writing the large numbers as product of ten power something so that we can reduce space required to write that number.
Now, 108200000 can be written in scientific notation as:
= 10820000 x 10
Hence the scientific notation of 108200000 is So the correct option is c.