anisah.21a
  • anisah.21a
lines j and k are parallel. Find the values of x and y. j= 13y degrees (8x+y) degrees k= (20x+3y) degrees
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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RagingSquirrel
  • RagingSquirrel
does it look like this?|dw:1443149770547:dw|
anisah.21a
  • anisah.21a
yep
DanJS
  • DanJS
ha, good interpretation for the question raging..

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anisah.21a
  • anisah.21a
|dw:1443149846344:dw|
anisah.21a
  • anisah.21a
i don't know i am helping my cousin who is in the 8th grade advanced geometry.. i am in first year college. I dont remember anything from high school but trying to help her.
DanJS
  • DanJS
|dw:1443150548121:dw|
anisah.21a
  • anisah.21a
then just set up the equations to 180. thanks !
DanJS
  • DanJS
The vertical angles are equal (oposite angles in two crossed lines), and A straight line totals 180 degrees
DanJS
  • DanJS
two variables x and y are to be found, you need AT Least 2 equations to do that
RagingSquirrel
  • RagingSquirrel
I misread the diagram. Nevermind.
DanJS
  • DanJS
hah, i just looked at the shape of your work and it seemed good for a medal
DanJS
  • DanJS
then use one of those for j, and the expression for k, and recall the total of those will be a straight line, j+k=180 so the second equation can be |dw:1443150968106:dw|
DanJS
  • DanJS
solve 13y + (8x+y) = 180 and 13y = 20x + 3y for x and y
anisah.21a
  • anisah.21a
ah yeah i just wasnt setting the equations correctly
anisah.21a
  • anisah.21a
thanks
DanJS
  • DanJS
you got it? look over vertical angles, alternate interior angles, corresponding angles, supplimentary angles....think that is it
DanJS
  • DanJS
http://www.mathsisfun.com/geometry/vertical-angles.html
anisah.21a
  • anisah.21a
x= 13/60
anisah.21a
  • anisah.21a
x=60 sorry
DanJS
  • DanJS
not sure, lets see 13y + (8x+y) = 180 and 13y = 20x + 3y ---------------------- 14y + 8x = 180 10y = 20x
DanJS
  • DanJS
You can solve it a few ways, but doing substitution, you can solve one of them for either x or y, then replace that into the other equation.... Solving the second for y y = (20/10)*x = 2x so y=2x sub that y value into the other equation
DanJS
  • DanJS
14y + 8x = 180 14*(2x) + 8x = 180 left with one variable to solve for now, 28x + 8x = 180 36x = 180 x = 5
DanJS
  • DanJS
now you know what x is, put that into any of the equations involving x and y and solve for the corresponding y value
DanJS
  • DanJS
If you are studying advanced geometry, the concept here is to recognize which angles are equal for parallel lines that are cut by a transversal, how to solve a system of equations in 2 variables was algebra.
anisah.21a
  • anisah.21a
thank you sir. although i am not taking it.. i am helping out my cousin. the last time i took geometry was three years ago.

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