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anisah.21a

  • one year ago

lines j and k are parallel. Find the values of x and y. j= 13y degrees (8x+y) degrees k= (20x+3y) degrees

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  1. RagingSquirrel
    • one year ago
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    does it look like this?|dw:1443149770547:dw|

  2. anisah.21a
    • one year ago
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    yep

  3. DanJS
    • one year ago
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    ha, good interpretation for the question raging..

  4. anisah.21a
    • one year ago
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    |dw:1443149846344:dw|

  5. anisah.21a
    • one year ago
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    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.

  6. DanJS
    • one year ago
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    |dw:1443150548121:dw|

  7. anisah.21a
    • one year ago
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    then just set up the equations to 180. thanks !

  8. DanJS
    • one year ago
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    The vertical angles are equal (oposite angles in two crossed lines), and A straight line totals 180 degrees

  9. DanJS
    • one year ago
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    two variables x and y are to be found, you need AT Least 2 equations to do that

  10. RagingSquirrel
    • one year ago
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    I misread the diagram. Nevermind.

  11. DanJS
    • one year ago
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    hah, i just looked at the shape of your work and it seemed good for a medal

  12. DanJS
    • one year ago
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    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|

  13. DanJS
    • one year ago
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    solve 13y + (8x+y) = 180 and 13y = 20x + 3y for x and y

  14. anisah.21a
    • one year ago
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    ah yeah i just wasnt setting the equations correctly

  15. anisah.21a
    • one year ago
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    thanks

  16. DanJS
    • one year ago
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    you got it? look over vertical angles, alternate interior angles, corresponding angles, supplimentary angles....think that is it

  17. DanJS
    • one year ago
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    http://www.mathsisfun.com/geometry/vertical-angles.html

  18. anisah.21a
    • one year ago
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    x= 13/60

  19. anisah.21a
    • one year ago
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    x=60 sorry

  20. DanJS
    • one year ago
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    not sure, lets see 13y + (8x+y) = 180 and 13y = 20x + 3y ---------------------- 14y + 8x = 180 10y = 20x

  21. DanJS
    • one year ago
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    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

  22. DanJS
    • one year ago
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    14y + 8x = 180 14*(2x) + 8x = 180 left with one variable to solve for now, 28x + 8x = 180 36x = 180 x = 5

  23. DanJS
    • one year ago
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    now you know what x is, put that into any of the equations involving x and y and solve for the corresponding y value

  24. DanJS
    • one year ago
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    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.

  25. anisah.21a
    • one year ago
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    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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