You can perform all kind of operation that are one the inverse of the other, so that the value won't change. For example, you can multiply and divide by 2:
Or add and subtract 5:
Write a fraction greater than 1 for 2 using 3 as the denominator .
1 answer:
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Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
Whereas the area of a circle for a radius r is given as
Now the ratio is given as
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.