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Mathematics 19 Online
OpenStudy (anonymous):

@nikato

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):

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

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):

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

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

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

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

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 !!!

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

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

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

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!

OpenStudy (danjs):

no problem, anytime

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