Answer:
33
Step-by-step explanation:
So the angle of 40 is a vertical angle with the one opposite of it, meaning that the triangle on the left would have two values of 40 and 41, to find the value of the 3rd angle of the left triangle, you can subtract 40 and 41 from 180 which is the total number of degrees in a triangle to get 99, then you can find the degrees of the triangle on the right's bottom angle by subtracting 99 from 180, meaning the bottom left angle would be 81, then you can do the same to find the other angle by subtracting 114 from 180 to get 66. Lastly you can add 81 and 66 to get 147, then subtracting 147 from 180 you would get x=33
That would actually be written as 5007 divided by 18, not the other way around. 5007 divided by 18 would be rounded to 278.2
5x = 50
Where x represents the (equal) amount of money each player contributed
As you can see, you can easily solve the equation above to get:
x = 10
Each player contributed $10 toward a $50 gift.
Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.
To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:
p '(t) = 2t + 5 = 0
Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.
