GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #1 : Opposite And Corresponding Angles

In two intersecting lines, the opposite angles are  and .  What must be the value of ?

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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

1

In the figure above, . If the measure of  and , what is the measure of ?

Possible Answers:

Correct answer:

Explanation:

1

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

1

Find the value of .

Assume the two horizontal lines are parallel.

Possible Answers:

Correct answer:

Explanation:

1

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 .

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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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