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The cyclic quadrilateral's opposing angles are 180 degrees, which become supplementary angles.
<h3>What is a cyclic quadrilateral?</h3>
If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
More about the cyclic quadrilateral link is given below.
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O is parallel to q
let's take the angle opposite to angle 4 is alpha
angle 4 = angle alpha ( vertically opposite angles)
angle alpha = angle 3 ( as angle 4 = angle 3).
hence o is parallel to q as both the angles are equal
Answer:
41.1
Step-by-step explanation:
Let,the time taken by larger pipe = x
By smaller pipe = x+5
It would be: 1/x + 1/(x+5) = 9/100
= x+5+x /(x)(x+5) = 9/100
= 2x+5 / x²+5x = 9/100
= 100(2x + 5) = 9(x² + 5x)
= 200x + 500 = 9x² + 45x
= 9x² - 155x - 500 = 0
= 9x² - 180x + 25x - 500 = 0
= 9x(x - 20) + 25(x - 20) = 0
= (9x + 25) (x - 20) = 0
= x = -25/9 or x = 20
Time can't be in negative so -25/9 is rejected.
Now,x + 5 = 20 + 5 = 25
In short, Your Larger pipe takes 20 minutes and smaller pipe takes 25 minutes
Hope this helps!
