Mathematics
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OpenStudy (anonymous):
Find the values of a and b in the kite below. Enter answers separated by a comma and a space with a first, like this; 1, 2
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
the upper triangle is congruent to the lower triangle
jimthompson5910 (jim_thompson5910):
so by CPCTC, we can say
3a = b
and
7a - 14 = b+6
jimthompson5910 (jim_thompson5910):
because 3a = b or b = 3a, we can plug this into the second equation
7a - 14 = b+6
7a - 14 = 3a+6
a = ??
OpenStudy (anonymous):
man I don't know ;/
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jimthompson5910 (jim_thompson5910):
give it a shot, your goal is to isolate 'a'
OpenStudy (anonymous):
lol I have been doing math all day and my brain is shut down
jimthompson5910 (jim_thompson5910):
hmm why not take a break for a min or two
jimthompson5910 (jim_thompson5910):
come back when your brain is refreshed
OpenStudy (anonymous):
hahah it wont make a difference XD
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jimthompson5910 (jim_thompson5910):
7a - 14 = 3a+6
7a - 3a = 6 + 14
a = ??
OpenStudy (anonymous):
5
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
see you can totally do this
so if a = 5, then b = 3a = 3*5 = 15
jimthompson5910 (jim_thompson5910):
so a = 5 and b = 15
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OpenStudy (anonymous):
that's my answer awesome
jimthompson5910 (jim_thompson5910):
yep
OpenStudy (anonymous):
your great
jimthompson5910 (jim_thompson5910):
well you enter it differently of course, but you know what I mean
thanks