<span>An obtuse triangle will have one and only one obtuse angle. </span>
<span>The other two angles are acute angles.</span>
<span>The sum of the two angles other than the obtuse angle is less than 90º.<span /></span>
<span><span>The side opposite to the obtuse angle is the longest side of the triangle.</span></span>
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</span><span>The points of concurrency, the Circumcenter and the Orthocenter lie outside of an obtuse triangle, while Centroid and Incenter lie inside the triangle.
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Given:


To find:
Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.
Solution:
We know that, two function are inverse of each other if:
and 
We have,


Now,
![[\because g(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
![[\because f(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)


Similarly,
![[\because f(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
![[\because g(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)


Since,
and
, therefore, f(x) and g(x) are inverse of each other.
Answersin -> 48
Step-by-step explanation:
solve for the length of the horizontal line by doing:
sin(55)=x/58
rearrange: x = sin(55) times 58 = 47.51
round UP to 48
Answer:
75 students
Step-by-step explanation:
500 students x 0.25 (25%) = 125 play baseball
500 students x 0.10 (10%) = 50 play soccer
125 who play baseball - 50 who play soccer = 75 more students who play baseball