The 3 angles form the straight line AB. A straight line equals 180 degrees.
The 3 angles when added together need to equal 180:
2x + 65 + (x + 65) = 180
Simplify by combining like terms:
3x + 130 = 180
Subtract 130 from both sides
3x = 50
Divide both sides by 3
X = 50/3
X = 16 2/3 (16.66667 as a repeating decimal)
Now you have x if you need to solve all the angles replace x with its value and sole:
2x = 2(16 2/3) = 33 1/3
X + 65 = 16 2/3 + 65 = 81 2/3
Answer:
A. -4
Step-by-step explanation:
For solving for x intercepts analytically. You can set the the y in the equation to 0. So, 2x-3(0)=12, and solving for x will get you -4.
You can also solve graphically by plugging in the equation and looking at where it intercepts the x axis.
Use the Pythagoras Theorem in the corresponding right angled triangles.
Answer:
Option A 
Step-by-step explanation:
The volume of a cone is:

The volume of a cylinder is:

Both figures have the same height h and the same radius r.
The volume of the cylinder
We want to find the volume of the cone.
Then, we find r and h:

We simplify.

Then the product of
.
We substitute this in the cone formula and get:
