All GED Math Resources
Example Questions
Example Question #1 : Opposite And Corresponding Angles
In two intersecting lines, the opposite angles are and . What must be the value of ?
In an intersecting line, vertical angles are equal to each other.
Set up an equation such that both angles are equal.
Solve for . Subtract on both sides.
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 and . What must the value of ?
Vertical angles are equal.
Set both angles equal and solve for x.
Subtract on both sides.
Add 8 on both sides.
Divide by 4 on both sides.
The answer is:
Example Question #1 : Opposite And Corresponding Angles
Suppose two vertical angles in a pair of intersecting lines. What is the value of if one angle is and the other angle is ?
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 #4 : Opposite And Corresponding Angles
Suppose two opposite angles are measured and . What is the value of ?
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 and . What must the value of be?
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 on both sides.
This means that equals .
Example Question #4 : Opposite And Corresponding Angles
In the figure above, . If the measure of and , what is the measure of ?
Since we have two parallel lines, we know that since they are opposite angle.
We also know that are supplementary because they are consecutive interior angles. Thus, we know that is also supplementary to .
We can then set up the following equation to solve for .
Thus, and .
Now, notice that because they are corresponding angles. Thus, .
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 and are supplementary.
Thus, we can write the following equation and solve for .
Since and are vertical angles, they must also have the same value.
Thus,
Example Question #1511 : Ged Math
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
feet.
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 #1511 : Ged Math
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 #553 : Geometry And Graphs
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.