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Vanyuwa [196]
3 years ago
5

In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?

Mathematics
2 answers:
alexira [117]3 years ago
7 0
We know that
In any quadrilateral where the vertices are on the circumference of a circle, the opposite angles add up to 180 degrees. 

So,
 in this problem
(x+20) + 110 = 180 \\ x+130=180 \\ x=180-130 \\ x=50degrees

therefore

the answer is
x=50degrees
nlexa [21]3 years ago
3 0
When a quadrilateral is inscriptible the opposite angles are supplementary       
So:   A + C = 180°
X + 20° + 110° = 180°
Then:   
                X = 50°
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If g(x)= square root of 3-5x, find the domain of g'(x).
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Step-by-step explanation:

First we need to derive our function g(x) to get a new function g'(x)

To do this we will have to apply chain rule because we have an inner and outer functions.

Our G(x) = square root(3-5x)

Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)

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In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined

which gives us x >3/5

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