5x - 100 + x - 20 = 180 (sum of supplementary angles is equal 180)
6x - 120 = 180
6x = 300
x = 50
x - 20 = 50 - 20 = 30
so
3y = 30 (vertical angles are equal)
y = 10
Answer:
(0,-2)
maximum
Step-by-step explanation:
-x∧2-2 = -1 (x∧2) -2
so the vertex should be (0,-2)
As it is negative for the x∧2, so the graph opens downwards. So, the vertex is a maximum.
Answer:
Step-by-step explanation:
Total marbles are 212
112/212 = 28/53
Approx. 52. 83%
There is only 1 remaining side
We have 2 sides and an included angle, we use the Law of Cosines to solve the third side:
c^2 = a^2 + b^2 -2ab *cos(C)
c^2 = .5^2 + .333333333...^2 - 2 * .5 * .3333333... * cos (95)
c^2 = .25 + .1111111111111111... -2*.5*.3333333333...* -0.087156
c^2 = 0.3611111111 + 0.029052
c^2 = 0.3901631111
c = 0.6246303796
