Remember that the slope of a line never changes, so you can choose whatever 2 points you want and you will always get the same slope. Calculate the rise and run (You can draw it on the graph if it helps). The slope is 2/4, which , of course, you can simplify to ½.
Answer:
They are parallel
Step-by-step explanation:
They both start with y=2/3x so you know the slope is the same. The +4 and -1 are just the intercepts
Answer:
Step-by-step explanation:
The angles in a triangle add to 180 degrees.
We are given triangle EFG. There are 3 angles: m∡E = 5x+6, m∡F = 4x-6, and m∡G = 5x-2.
The sum of these three angles must equal 180. Set up an equation and solve for x.
Combine like terms on the left side.
Solve for x. 2 is being subtracted from 14x. The inverse operation of subtraction is addition. Add 2 to both sides.
x is being multiplied by 14. The inverse operation of multiplication is division. Divide both sides by 14.
Find the measure of angle G. Substitute x into the original expression.
The measure of angle G is 63 degrees.
Answer:
14.8 units³
Step-by-step explanation:
The volume of a "pointed" solid, such as a cone or pyramid, is one-third the product of its base area and height:
V = (1/3)Bh
Filling in the given numbers and doing the arithmetic, we find the volume to be ...
V = (1/3)(7.4 units²)(6 units) = 14.8 units³
The volume of the pyramid is 14.8 cubic units.