A diagram is drawn showing a swing set with a swing pulled backward prior to release. The diagram shows how the swing will move forward and then backward after it is initially released. At which point in the diagram is all of the energy gravitational potential energy?
a
as the released swing begins moving backward
b
when the swing is pulled back prior to release
c
Just after the swing is released
d
at the highest point as the swing is moving forward
d - at the highest point as the swing is moving forward. At this point, all of the potential energy has been converted into kinetic energy.
Look at Figure 1. Which of the below angles are vertical? ( select all that apply)
angles MOR and QON
angles y and angle z
angles BOQ an NOP
Angles w and y
- Angles MOR and QON are vertical as they are formed by the intersection of two lines that are perpendicular to each other.
- Angles BOQ and NOP are also vertical as they are formed by the intersection of two parallel lines by a transversal.
- Angles w and y are not vertical.
Based on picture above which of the below angles are acute? (select all that apply)
angle y
Angle QOM
Angle QOR
Angle BOP
- Angle y is acute as it is less than 90 degrees.
- Angle QOM and QOR are both right angles and not acute.
- Angle BOP is obtuse as it is greater than 90 degrees.
3. What degree is angle CFE (Figure 2)?
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40
60
120
30
Since angle AFE and AEC are both right angles, we know that angle CFE = angle CFA + angle AFE + angle AEC.
From the diagram, we can see that angle CFA = 60 degrees and angle AEC = 90 degrees.
To find angle AFE, we can use the fact that triangle AFE is an equilateral triangle, which means all angles are equal to 60 degrees.
Therefore, angle CFE = 60 + 60 + 90 = 210 degrees.
None of the given options is correct.
Look at the above picture. What is the Measure of Angle DFE?
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Review consecutive interior angles under parallel lines
1 point
60
120
40
30
Based on consecutive interior angles formed by parallel lines, we know that:
angle AFE + angle DFE = 180 degrees.
From the diagram, we can see that angle AFE = 60 degrees.
Therefore, angle DFE = 180 - 60 = 120 degrees.
So the answer is 120.
Look at Figure 2. What is the measure of x ? ( Hint: you may need to use triangle ACE to help you;) notice the right angle???
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1 point
60
30
40
120
In triangle ACE, we know that:
angle ACE + angle AEC + angle CEA = 180 degrees.
From the diagram, we can see that angle AEC is 90 degrees and angle ACE is 60 degrees.
Substituting these values, we get:
60 + 90 + angle CEA = 180
150 + angle CEA = 180
angle CEA = 30 degrees
Now, looking at triangle ABD, we know that:
angle ABD + angle BAD + angle ABT = 180 degrees.
From the problem statement, we know that angle ABD = 90 degrees and angle BAD = 60 degrees.
Substituting these values and simplifying, we get:
90 + 60 + x = 180
x = 30 degrees
Therefore, the measure of x is 30 degrees.
What is the measure of angle Y? ( remember all interior angles of a triagnle must add up to 180 degrees)
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Click to here to review
2 points
64
46
24
82
From the given diagram, we can see that angle X is 46 degrees and angle Z is 82 degrees.
Using the fact that the sum of interior angles in a triangle is 180 degrees, we can find angle Y:
angle X + angle Y + angle Z = 180 degrees
46 + angle Y + 82 = 180
angle Y = 180 - 46 - 82
angle Y = 52 degrees
Therefore, the measure of angle Y is 52 degrees.
What is the average percent of time of a student watching TV and Socializing ?
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Click here for fun with graphs (Pie Chart = circle graphs)
1 point
62
58
26
33
Without a specific data or chart given, it is impossible to determine the average percent of time a student spends watching TV and socializing. More information is needed to solve the problem.
What is the average percent of time a student spend sleeping and doing homework?
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1 point
40
41
8
33