Mathematics
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OpenStudy (youngnephew34):
What are the values of a and b?
A) A=9/2, B=15/2
B) A=15/2, B=9/2
C) A= 16/3, B= 15/2
D) A=9/2, B= 13/2
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OpenStudy (anonymous):
Is thee a pic i can refer too?
OpenStudy (youngnephew34):
I'm trying to get it
OpenStudy (anonymous):
Ill help you out when you have the picture
OpenStudy (anonymous):
Tag me when you get it?
OpenStudy (youngnephew34):
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OpenStudy (youngnephew34):
@CallMeEmmie
OpenStudy (youngnephew34):
I think it's A
OpenStudy (anonymous):
what grade are you in
OpenStudy (youngnephew34):
11
OpenStudy (anonymous):
I cant help than I am only in 6ths
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jimthompson5910 (jim_thompson5910):
Hint:
The two smaller triangles are similar triangles. So we can form this proportion
a/6 = 6/8
OpenStudy (youngnephew34):
ok
jimthompson5910 (jim_thompson5910):
tell me what you get when you solve for 'a'
OpenStudy (youngnephew34):
I did it different
jimthompson5910 (jim_thompson5910):
how did you do it?
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OpenStudy (youngnephew34):
I did 18/a = a/8
OpenStudy (youngnephew34):
and I'm still confuse
OpenStudy (youngnephew34):
and I also did like 18/b=b/8 and I got 72
jimthompson5910 (jim_thompson5910):
you can't add the 10 and 8 to get 18
OpenStudy (youngnephew34):
oh ok
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jimthompson5910 (jim_thompson5910):
when you solve `a/6 = 6/8` for 'a', what did you get?
OpenStudy (youngnephew34):
I think you suppose to find the common denominator
OpenStudy (youngnephew34):
so 2in to 6 will be 3 and 2 goes into 8 4
jimthompson5910 (jim_thompson5910):
why not multiply both sides by 6 ?
jimthompson5910 (jim_thompson5910):
try that and see what you get
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OpenStudy (youngnephew34):
8a=36
jimthompson5910 (jim_thompson5910):
now divide both sides of `8a = 36` by 8 to isolate 'a'
OpenStudy (youngnephew34):
36/8=4.5
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
a = 4.5 or a = 9/2
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jimthompson5910 (jim_thompson5910):
now use that value of 'a' and the pythagorean theorem to find 'b'
OpenStudy (youngnephew34):
4.5x4.5=20.5
jimthompson5910 (jim_thompson5910):
that's the value of a^2, yes
OpenStudy (youngnephew34):
ok
jimthompson5910 (jim_thompson5910):
one of your steps will have
a^2 + 6^2 = b^2
solve for b
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OpenStudy (youngnephew34):
6x6=36
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (youngnephew34):
ok
jimthompson5910 (jim_thompson5910):
a^2 + 6^2 = b^2
turns into
20.25 + 36 = b^2
OpenStudy (youngnephew34):
s0 56.25
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jimthompson5910 (jim_thompson5910):
that's the value of b^2
but we want the value of b
OpenStudy (youngnephew34):
so find the square root of 56.25
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (youngnephew34):
7.5
jimthompson5910 (jim_thompson5910):
correct, b = 7.5
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jimthompson5910 (jim_thompson5910):
or b = 15/2
OpenStudy (youngnephew34):
oh ok
OpenStudy (anonymous):
lol ya'll are doing it wrong. im in 12th grade..this pellet is easy. ur gonna get it wrong
jimthompson5910 (jim_thompson5910):
since 15/2 = 7.5
OpenStudy (youngnephew34):
how
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OpenStudy (youngnephew34):
and ok
OpenStudy (youngnephew34):
I'm still here
OpenStudy (youngnephew34):
so it's B
jimthompson5910 (jim_thompson5910):
Summary:
a = 4.5 or a = 9/2
b = 7.5 or b = 15/2
OpenStudy (youngnephew34):
B should be my correct answer