hali12
pentagon ABCDE ~ pentagon FGHIJ. Use the figures below to answer the following questions
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jim_thompson5910
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you're missing the figures
jim_thompson5910
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or the following questions
hali12
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sorry i keep getting distracted
jim_thompson5910
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that's ok
jim_thompson5910
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AB corresponds to FG
jim_thompson5910
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So FG/AB = 6/8 = 0.75 is the number you multiply each side length in the larger pentagon to get the corresponding side length in the smaller pentagon
hali12
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8?
jim_thompson5910
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8 times 0.75 = 6
jim_thompson5910
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oh wait, i read that wrong...one sec
jim_thompson5910
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oh for some reason, it still works out...lucky coincidence
but yes, you multiply by 0.75
hali12
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oh
jim_thompson5910
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to go backwards, you divide by 0.75
jim_thompson5910
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notice how FJ corresponds to AE
jim_thompson5910
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and FJ = 6
So AE = FJ/0.75 = 6/0.75 = 8
which means AE = 8
hali12
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so then i had it right?
jim_thompson5910
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yes, sry i didn't see that til now
hali12
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ok, cool and for #14 it would be 2.5?
hali12
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no no no it would be 3
jim_thompson5910
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which side corresponds to IJ?
hali12
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CD, so it would make it 3? correct?
jim_thompson5910
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this is why this problem is a bit confusing
jim_thompson5910
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the second pentagon should be rotated slightly clockwise so that FG matches up with AB
jim_thompson5910
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now tell me what ij corresponds to
hali12
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8
jim_thompson5910
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did you do the rotation? this will make F the bottom most point
hali12
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yea
jim_thompson5910
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so ij corresponds to ???
jim_thompson5910
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which side from ABCDE
hali12
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de
jim_thompson5910
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now multiply that length by 0.75 to find ij
hali12
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2.5
jim_thompson5910
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try it again
5 times 0.75 = ???
jim_thompson5910
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de = 5
hali12
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3.75
hali12
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fg would be 4?
jim_thompson5910
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fg corresponds to ???
hali12
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ab?
jim_thompson5910
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good
FG = 0.75 times AB
hali12
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6
jim_thompson5910
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you nailed it
hali12
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thanks, this will be the last one i promise
jim_thompson5910
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The two triangles are similar
So
AD/ED = BD/CD
35/16 = 25/x
Now solve for x
hali12
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9.6?
jim_thompson5910
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35/16 = 25/x
35x = 16*25
hali12
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7 6/7
jim_thompson5910
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no it's not any of those answer choices
jim_thompson5910
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x is the length of CD
jim_thompson5910
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which isn't listed
hali12
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16*25=400
jim_thompson5910
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35x = 16*25
35x = 400
hali12
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dfsdfdddddddd
hali12
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sorry cat walked on the kep board... and i dont get wat i do next
hali12
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key*
jim_thompson5910
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that's ok, divide both sides by 35
hali12
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45 divided by 35, and what else by 35?
hali12
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11.4
jim_thompson5910
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ok now subtract this from 25
hali12
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13.6
jim_thompson5910
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which is closest to which answer choice?
hali12
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13 4/7
hali12
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13.6 is closest to 13 6/7
jim_thompson5910
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your first response is correct
jim_thompson5910
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13.6 is closest to 13 4/7
jim_thompson5910
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which is the answer
hali12
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13 4/7
hali12
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thank you,... i was just wondering, but are u like a teacher or something?
jim_thompson5910
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i'm a student learning to become one
hali12
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your are amazing
jim_thompson5910
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why thank you, i appreciate the compliment
hali12
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your are verry verry welcome, you helped me out so much that i officaly have a B in geometry ( summerschool) i had failed it the first time idurring the year, i dont know what i would have done with out you...
jim_thompson5910
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i'm glad i could help you out, you're very smart and it sounds like you're starting to get the hang of this stuff, which is great
hali12
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thank you :)
jim_thompson5910
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you're welcome