pentagon ABCDE ~ pentagon FGHIJ. Use the figures below to answer the following questions
@jim_thompson5910

- anonymous

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- jim_thompson5910

you're missing the figures

- jim_thompson5910

or the following questions

- anonymous

sorry i keep getting distracted

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- jim_thompson5910

that's ok

- jim_thompson5910

AB corresponds to FG

- 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

- anonymous

8?

- jim_thompson5910

8 times 0.75 = 6

- jim_thompson5910

oh wait, i read that wrong...one sec

- jim_thompson5910

oh for some reason, it still works out...lucky coincidence
but yes, you multiply by 0.75

- anonymous

oh

- jim_thompson5910

to go backwards, you divide by 0.75

- jim_thompson5910

notice how FJ corresponds to AE

- jim_thompson5910

and FJ = 6
So AE = FJ/0.75 = 6/0.75 = 8
which means AE = 8

- anonymous

so then i had it right?

- jim_thompson5910

yes, sry i didn't see that til now

- anonymous

ok, cool and for #14 it would be 2.5?

- anonymous

no no no it would be 3

- jim_thompson5910

which side corresponds to IJ?

- anonymous

CD, so it would make it 3? correct?

- jim_thompson5910

this is why this problem is a bit confusing

- jim_thompson5910

the second pentagon should be rotated slightly clockwise so that FG matches up with AB

- jim_thompson5910

now tell me what ij corresponds to

- anonymous

8

- jim_thompson5910

did you do the rotation? this will make F the bottom most point

- anonymous

yea

- jim_thompson5910

so ij corresponds to ???

- jim_thompson5910

which side from ABCDE

- anonymous

de

- jim_thompson5910

good

- jim_thompson5910

now multiply that length by 0.75 to find ij

- anonymous

2.5

- jim_thompson5910

try it again
5 times 0.75 = ???

- jim_thompson5910

de = 5

- anonymous

3.75

- jim_thompson5910

good

- anonymous

fg would be 4?

- jim_thompson5910

fg corresponds to ???

- anonymous

ab?

- jim_thompson5910

good
FG = 0.75 times AB

- anonymous

6

- jim_thompson5910

you nailed it

- anonymous

thanks, this will be the last one i promise

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- jim_thompson5910

The two triangles are similar
So
AD/ED = BD/CD
35/16 = 25/x
Now solve for x

- anonymous

9.6?

- jim_thompson5910

no

- jim_thompson5910

35/16 = 25/x
35x = 16*25

- anonymous

7 6/7

- jim_thompson5910

no it's not any of those answer choices

- jim_thompson5910

x is the length of CD

- jim_thompson5910

which isn't listed

- anonymous

16*25=400

- jim_thompson5910

good

- jim_thompson5910

35x = 16*25
35x = 400

- anonymous

dfsdfdddddddd

- anonymous

sorry cat walked on the kep board... and i dont get wat i do next

- anonymous

key*

- jim_thompson5910

that's ok, divide both sides by 35

- anonymous

45 divided by 35, and what else by 35?

- anonymous

11.4

- jim_thompson5910

ok now subtract this from 25

- anonymous

13.6

- jim_thompson5910

which is closest to which answer choice?

- anonymous

13 4/7

- anonymous

13.6 is closest to 13 6/7

- jim_thompson5910

your first response is correct

- jim_thompson5910

13.6 is closest to 13 4/7

- jim_thompson5910

which is the answer

- anonymous

13 4/7

- jim_thompson5910

yes

- anonymous

thank you,... i was just wondering, but are u like a teacher or something?

- jim_thompson5910

i'm a student learning to become one

- anonymous

your are amazing

- jim_thompson5910

why thank you, i appreciate the compliment

- 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...

- 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

- anonymous

thank you :)

- jim_thompson5910

you're welcome

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