Answer:
30degrees
Step-by-step explanation:
Given
Exterior angle m<CDE = 7x - 19 degrees
interior angles are
m<BCD = 2x - 1
m<DBC = x+10
Since the sum of the interior angles is equal to the exterior, hence;
2x - 1 + x+10 = 7x - 19
3x + 9 = 7x - 19
3x - 7x = -19 - 9
-4x = -28
x = 28/4
x = 7
Get m<CDE
m<CDE = 7x - 19
m<CDE = 7(7) - 19
m<CDE = 49 - 19
m<CDE = 30degrees
A cone with the same radius and height as a cylinder will have one-third the volume of the cylinder.
Vcone = (1/3)*π*r^2*h
Vcylinder = π*r^2*h
Since adding a constant to a function simply moved the graph upwards by that amount, solve f(x) for any value and see how much the graph given is different from that value of y...the simplest way in this case may be to simply find f(0) which is:
5*2^0=5
Clearly the graph at x=0 is at y=-2 so we can see that k is:
5+k=-2 so
k=-7
