Mathematics
19 Online
OpenStudy (anonymous):
@nikato
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
OpenStudy (danjs):
x = 33
z = 109
y = 180 - 109 - 33
OpenStudy (danjs):
y = 38
OpenStudy (anonymous):
it seemed more complex. r u sure
OpenStudy (anonymous):
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@nikato
OpenStudy (danjs):
I am sure...
OpenStudy (danjs):
The diagonal is a transversal to the two parallel sides of the diagram
OpenStudy (danjs):
opposite interior angles of a transversal through two parallel lines are equal. so
x = 33
OpenStudy (danjs):
Opposite angles of a parallelogram are also equal. so..
z = 109
or you could say the two triangles are congruent and so, z=109
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
and the sum of the 3 angles in a triangle add up to 180 degrees so..
180 = Y + 109 + 33
Y = 38
OpenStudy (anonymous):
ooooh i get it!
OpenStudy (anonymous):
@DanJS can u help with a few more
OpenStudy (danjs):
sure
OpenStudy (anonymous):
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
ok...
OpenStudy (anonymous):
do u know how to do that one?
OpenStudy (danjs):
yea, the diagonals of a parallelogram bisect one another, so...
OpenStudy (anonymous):
i have to get my math done by tomorrow and im so out of it...its midnight
OpenStudy (danjs):
DH = HF and GH = HE
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
2 equations and 2 unknowns, solve for x and y
OpenStudy (danjs):
X + 1 = 3y
3x - 4 = 5y + 1
OpenStudy (anonymous):
wouldnt it be like a weird number or something???
OpenStudy (danjs):
x = 5
y = 2
OpenStudy (anonymous):
How did u get that? Write it all out. I will tell u where i dont understand...i really apreciate u helping. @DanJS
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
so you understand the two diagonals in a parallelogram bisect each other ?
OpenStudy (danjs):
So DH = HF and GH = HE
OpenStudy (danjs):
the lines are cut in half
OpenStudy (anonymous):
yep
OpenStudy (danjs):
So using that you get these 2 equations,
x + 1 = 3y
3x - 4 = 5y + 1
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
Solving the first equation for x, gives:
x = 3y - 1
OpenStudy (danjs):
Putting that x into the second equation, gives:
3*(3y - 1) - 4 = 5y + 1
OpenStudy (danjs):
Multiplying the 3 into the parenthesis
9y - 3 - 4 = 5y +1
OpenStudy (danjs):
so,
9y - 7 = 5y + 1
OpenStudy (danjs):
subtract 5y from both sides,
4y -7 = 1
add 7 to both sides
4y = 8
divide by 4 on both sides
y = 2
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
oooh ok i see so far. ok (:
OpenStudy (danjs):
use that Y = 2 in any of the original equations:
x + 1 = 3y
3x - 4 = 5y + 1
OpenStudy (danjs):
x + 1 = 3*2
x + 1 = 6
x = 5
OpenStudy (anonymous):
oh ok i see!!!!!!! next one?
OpenStudy (danjs):
Sure !!!
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
OpenStudy (anonymous):
@DanJS
OpenStudy (danjs):
This is the same as the last problem, equate the equal sides to have 2 equations...
OpenStudy (anonymous):
theres like three of them though D:
OpenStudy (danjs):
ON =LM
and
NM = OL
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
so
ON =LM
8x - 8 = 7x + 4 --subtract 7x from both sides
x - 8 = 4 ---add 8 to both sides
x = 12
OpenStudy (anonymous):
then plug in x for y???
OpenStudy (danjs):
yep!
NM = OL
x - 5 = 3y-6 (x=12 from above)
OpenStudy (danjs):
12 - 5 = 3y - 6
OpenStudy (danjs):
12 - 5 + 6 = 3y
13 = 3y
y = 13 / 3
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
oh ok next one?
OpenStudy (danjs):
lol one more, then open a new thread
OpenStudy (anonymous):
OpenStudy (danjs):
3) Definition of a parallelogram
OpenStudy (danjs):
4) Alternate interior angles theorem
3 and 4 are the same as 1 and 2
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
what is that when you say something is the same as itself -
Reflexive property? i think
5) Reflexive Property
OpenStudy (danjs):
6) side angle side congruency OR side side side congruency
OpenStudy (anonymous):
dang ur good at this!!!!
OpenStudy (danjs):
good old 10th grade geometry. many years ago
OpenStudy (anonymous):
Wow. (: I appreciate it a lot!
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
no problem, anytime