pentagon ABCDE ~ pentagon FGHIJ. Use the figures below to answer the following questions
@jim_thompson5910
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jimthompson5910 (jim_thompson5910):
you're missing the figures
jimthompson5910 (jim_thompson5910):
or the following questions
OpenStudy (anonymous):
sorry i keep getting distracted
jimthompson5910 (jim_thompson5910):
that's ok
jimthompson5910 (jim_thompson5910):
AB corresponds to FG
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jimthompson5910 (jim_thompson5910):
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
OpenStudy (anonymous):
8?
jimthompson5910 (jim_thompson5910):
8 times 0.75 = 6
jimthompson5910 (jim_thompson5910):
oh wait, i read that wrong...one sec
jimthompson5910 (jim_thompson5910):
oh for some reason, it still works out...lucky coincidence
but yes, you multiply by 0.75
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OpenStudy (anonymous):
oh
jimthompson5910 (jim_thompson5910):
to go backwards, you divide by 0.75
jimthompson5910 (jim_thompson5910):
notice how FJ corresponds to AE
jimthompson5910 (jim_thompson5910):
and FJ = 6
So AE = FJ/0.75 = 6/0.75 = 8
which means AE = 8
OpenStudy (anonymous):
so then i had it right?
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jimthompson5910 (jim_thompson5910):
yes, sry i didn't see that til now
OpenStudy (anonymous):
ok, cool and for #14 it would be 2.5?
OpenStudy (anonymous):
no no no it would be 3
jimthompson5910 (jim_thompson5910):
which side corresponds to IJ?
OpenStudy (anonymous):
CD, so it would make it 3? correct?
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jimthompson5910 (jim_thompson5910):
this is why this problem is a bit confusing
jimthompson5910 (jim_thompson5910):
the second pentagon should be rotated slightly clockwise so that FG matches up with AB
jimthompson5910 (jim_thompson5910):
now tell me what ij corresponds to
OpenStudy (anonymous):
8
jimthompson5910 (jim_thompson5910):
did you do the rotation? this will make F the bottom most point
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OpenStudy (anonymous):
yea
jimthompson5910 (jim_thompson5910):
so ij corresponds to ???
jimthompson5910 (jim_thompson5910):
which side from ABCDE
OpenStudy (anonymous):
de
jimthompson5910 (jim_thompson5910):
good
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jimthompson5910 (jim_thompson5910):
now multiply that length by 0.75 to find ij
OpenStudy (anonymous):
2.5
jimthompson5910 (jim_thompson5910):
try it again
5 times 0.75 = ???
jimthompson5910 (jim_thompson5910):
de = 5
OpenStudy (anonymous):
3.75
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jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
fg would be 4?
jimthompson5910 (jim_thompson5910):
fg corresponds to ???
OpenStudy (anonymous):
ab?
jimthompson5910 (jim_thompson5910):
good
FG = 0.75 times AB
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OpenStudy (anonymous):
6
jimthompson5910 (jim_thompson5910):
you nailed it
OpenStudy (anonymous):
thanks, this will be the last one i promise
jimthompson5910 (jim_thompson5910):
The two triangles are similar
So
AD/ED = BD/CD
35/16 = 25/x
Now solve for x
OpenStudy (anonymous):
9.6?
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jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
35/16 = 25/x
35x = 16*25
OpenStudy (anonymous):
7 6/7
jimthompson5910 (jim_thompson5910):
no it's not any of those answer choices
jimthompson5910 (jim_thompson5910):
x is the length of CD
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jimthompson5910 (jim_thompson5910):
which isn't listed
OpenStudy (anonymous):
16*25=400
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
35x = 16*25
35x = 400
OpenStudy (anonymous):
dfsdfdddddddd
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OpenStudy (anonymous):
sorry cat walked on the kep board... and i dont get wat i do next
OpenStudy (anonymous):
key*
jimthompson5910 (jim_thompson5910):
that's ok, divide both sides by 35
OpenStudy (anonymous):
45 divided by 35, and what else by 35?
OpenStudy (anonymous):
11.4
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jimthompson5910 (jim_thompson5910):
ok now subtract this from 25
OpenStudy (anonymous):
13.6
jimthompson5910 (jim_thompson5910):
which is closest to which answer choice?
OpenStudy (anonymous):
13 4/7
OpenStudy (anonymous):
13.6 is closest to 13 6/7
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jimthompson5910 (jim_thompson5910):
your first response is correct
jimthompson5910 (jim_thompson5910):
13.6 is closest to 13 4/7
jimthompson5910 (jim_thompson5910):
which is the answer
OpenStudy (anonymous):
13 4/7
jimthompson5910 (jim_thompson5910):
yes
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OpenStudy (anonymous):
thank you,... i was just wondering, but are u like a teacher or something?
jimthompson5910 (jim_thompson5910):
i'm a student learning to become one
OpenStudy (anonymous):
your are amazing
jimthompson5910 (jim_thompson5910):
why thank you, i appreciate the compliment
OpenStudy (anonymous):
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...
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jimthompson5910 (jim_thompson5910):
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