A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
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The two triangles are right angled Triangles and they have one common angle. so the two triangles are similar to each other.
By using similarity, ratio of their corresponding sides must be equal as well~
Each week, there are 24+12x more new instances recorded than there was the previous week which is increasing exponentially.
There were 24 cases of flu reported in a city's hospital on January 4.
In the next 5 weeks, the number of new cases reported each week had grown exponentially.
Let "A" represent the number of flu cases at time "t." Any population "A" grows exponentially over time at a rate of "t." The beginning population directly affects the rate of population change.
dA/dt = k( T - 24 )
T- 24 = c × [Differentiate with 't']
T = 24 + c ×
After 1 week T = 36 and t = 1
36 - 24 = c × 1
c = 12
T = 24 + 12x.
Therefore, 24 + 12x new instances have been reported each week, increasing exponentially.
Learn more about the exponential rate of change here:
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