aliceglass20
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aliceglass20
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The picture shows a stand for keeping a synthesizer. The top surface of the stand is parallel to the base, as shown.
Which expression about the angles p and q is correct?
aliceglass20
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A: m<p=m<q
aliceglass20
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B: m<q=180 degrees-m<p
aliceglass20
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C: m<p=2(m<q)
aliceglass20
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D: m<q=90 degrees-m<p
aliceglass20
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The less than signs stand for angles.
monokerous
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Which one do you think it is?
aliceglass20
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No clueeeee.
monokerous
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|dw:1346353885710:dw|
monokerous
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How about now?
aliceglass20
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What does that do? isn't that the same picture as the one in the question?
monokerous
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yes. I thought if I drew it out, it might look clearer.
aliceglass20
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I just don't understand anything about the question D:
monokerous
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Hmm... Okay then... I'll try my best to help you understand.
monokerous
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have you heard of corresponding angles?
aliceglass20
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yes it was in my lesson but I forget what they really are.
monokerous
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Let's take away the line so it's easier for you to see.
|dw:1346354183326:dw|
monokerous
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Corresponding angles: 'the angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.'
aliceglass20
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so it's not A?
monokerous
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In this case, the corresponding angle of q would be...
|dw:1346354360998:dw|
monokerous
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no, <p does not equal to <q
monokerous
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So not A.
monokerous
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Do you understand the drawing?
aliceglass20
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A little bit. I don't even understand what the answer choices mean.
monokerous
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|dw:1346354465230:dw|
monokerous
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A states that <p=<q . As an example, if <p=3° then <q=3°
aliceglass20
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but aren't angles p and q different?
aliceglass20
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so how do they both equal 3?
aliceglass20
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would*
monokerous
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B states that <q=180°-<p . As an example, if <p=3°, then the equation would be...
<q=180°-3°
=177°
monokerous
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You are correct. angles p and q do not equal to each other so A cannot be the answer.
monokerous
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Remember, 180°= line.
aliceglass20
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what line?
monokerous
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C states that <p=2(<q) You do not know for sure that <p is 2 times <q so you can disregard C.
D states that <q=90°-<p
monokerous
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a line is...
|dw:1346354918557:dw|
aliceglass20
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oh
monokerous
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D and B are almost the same, except B is a line
|dw:1346355007844:dw|
and D states that <p+<q=90° which would be...
|dw:1346355020286:dw|
Something like that.
monokerous
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So now that I've explained to you all your choices, which one do you think your answer is?
aliceglass20
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b?...
monokerous
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Yes.
aliceglass20
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okay thank you! :)
monokerous
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|dw:1346355172606:dw|
monokerous
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you're welcome. I hope this has helped you understand the topic a little better.
aliceglass20
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yes it has:) are you a teacher or something? haha.
monokerous
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:) Great! Ha ha. No. :P
aliceglass20
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okay well you're just super smart then lol.
monokerous
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Ha ha. I'm far from it... But thanks! :P Just takes a lot of practice.