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Mathematics 16 Online
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

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 ;/

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

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

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

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