GED Math : GED Math
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Example Questions
Example Question #1 : Opposite And Corresponding Angles
In two intersecting lines, the opposite angles are 
In an intersecting line, vertical angles are equal to each other.
Set up an equation such that both angles are equal.
Solve for 
Add 14 on both sides.
Divide by 7 on both sides.
The answer is:
Example Question #4 : Opposite And Corresponding Angles
Suppose a pair of opposite angles are measured 
Vertical angles are equal.
Set both angles equal and solve for x.
Subtract 
Add 8 on both sides.
Divide by 4 on both sides.
The answer is:
Example Question #4 : Opposite And Corresponding Angles
Suppose two vertical angles in a pair of intersecting lines. What is the value of 
Vertical angles of intersecting lines must equal to each other.
Set up an equation such that both angle measures are equal.
Add three on both sides.
Divide by three on both sides.
The answer is:
Example Question #544 : 2 Dimensional Geometry
Suppose two opposite angles are measured 
Opposite angles equal. Set up an equation such that both angle values are equal.
Add 5 on both sides.
Divide by 5 on both sides.
The answer is:
Example Question #4 : Opposite And Corresponding Angles
With a pair of intersecting lines, a set of opposite angles are measured 
Opposite angles of two intersecting lines must equal to each other. Set up an equation such that both angle are equal.
Add 9 on both sides.
Subtract 
This means that 
Example Question #4 : Opposite And Corresponding Angles
In the figure above, 
Since we have two parallel lines, we know that 
We also know that 
We can then set up the following equation to solve for 
Thus, 
Now, notice that 
Example Question #121 : Angle Geometry
Find the value of 
Assume the two horizontal lines are parallel.
Start by noticing that the two angles with the values of 
Thus, we can write the following equation and solve for 
Since 
Thus,
Example Question #1 : Volume Of A Sphere
A water tank takes the shape of a sphere whose exterior has radius 18 feet; the tank is three inches thick throughout. To the nearest hundred, how many cubic feet of water does the tank hold?
Use 3.14 for 
Three inches is equal to 0.25 feet, so the radius of the interior of the tank is
The amount of water the tank holds is the volume of the interior of the tank, which is
which rounds to 23,400 cubic feet.
Example Question #2 : Volume Of A Sphere
The contents of a full spherical glass 3 inches in radius are poured into an empty cylindrical glass 6 inches in radius and 6 inches high. What percent of the cylindrical glass is taken up by the contents?
The volume of the spherical glass is
where 
The volume of the cylindrical glass is
where 
The contents of the spherical glass will take up
of the capacity of the cylindrical glass.
Example Question #3 : Volume Of A Sphere
The contents of a full cylindrical glass 4 inches in radius and 8 inches high are poured into an empty spherical glass 6 inches in radius. What percent of the spherical glass is taken up by the contents?
The volume of the cylindrical glass is
where 
The volume of the spherical glass is
where 
The contents of the cylindrical glass will take up
of the capacity of the spherical glass.
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