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LilVeroDez13

  • 3 years ago

The measure of angle SPR = 52º and the measure of angle QPR = 125º. What is the measure of angle QPS?

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  1. jim_thompson5910
    • 3 years ago
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    It might help to draw a picture |dw:1348965652833:dw|

  2. jim_thompson5910
    • 3 years ago
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    |dw:1348965734563:dw|

  3. LilVeroDez13
    • 3 years ago
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    I thought that i would subtract 125 and 52 to get the answer.. but i wasnt so sure that wass right.

  4. jim_thompson5910
    • 3 years ago
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    no, you add actually

  5. LilVeroDez13
    • 3 years ago
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    125 + 52= 177 :)

  6. jim_thompson5910
    • 3 years ago
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    you got it again

  7. LilVeroDez13
    • 3 years ago
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    Thanks!! I actualy have one more question if thats ok? :))

  8. jim_thompson5910
    • 3 years ago
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    sure go for it

  9. LilVeroDez13
    • 3 years ago
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    :))!! The map shows the route for a race. You are at A, which is 6000 feet from the first checkpoint B. The second checkpoint C is located at the midpoint between B and the end of the race D. The total race is 3 miles. How far apart are the 2 checkpoints?

  10. LilVeroDez13
    • 3 years ago
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    |dw:1348969689076:dw| This is the pic it has with

  11. jim_thompson5910
    • 3 years ago
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    |dw:1348966144511:dw|

  12. jim_thompson5910
    • 3 years ago
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    6000 feet = 1.13636 miles (roughly)

  13. jim_thompson5910
    • 3 years ago
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    |dw:1348966286941:dw|

  14. jim_thompson5910
    • 3 years ago
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    The total length of AD is 3 miles, so 1.13636 + x + x = 3 solve that for x to find the answer

  15. jim_thompson5910
    • 3 years ago
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    alternatively, you can convert 3 miles to feet to get 3 miles = 15,840 feet

  16. jim_thompson5910
    • 3 years ago
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    then solve 6000 + x + x = 15840 for x to get the answer in feet

  17. LilVeroDez13
    • 3 years ago
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    Do I combine both x's?

  18. jim_thompson5910
    • 3 years ago
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    yes x+x becomes 2x

  19. jim_thompson5910
    • 3 years ago
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    then what?

  20. LilVeroDez13
    • 3 years ago
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    then you have 6,000 + 2x = 15,840.. u -6000 to both sides and get 2x = 9840.. now divide that by 2 and X = 4920

  21. jim_thompson5910
    • 3 years ago
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    perfect, the distance is 4920 feet

  22. jim_thompson5910
    • 3 years ago
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    to convert that to miles (optional in my opinion, but you never know), divide that by 5280

  23. LilVeroDez13
    • 3 years ago
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    Divide 4920 and 5280?

  24. jim_thompson5910
    • 3 years ago
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    yes, if you want to convert to miles, but I like the answer in feet (it's a much cleaner number)

  25. LilVeroDez13
    • 3 years ago
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    Ahh i get what u mean :) Heyy sorry but could I bother u for one more. last one I promise :)

  26. jim_thompson5910
    • 3 years ago
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    no worries, i like helping, what's your question?

  27. LilVeroDez13
    • 3 years ago
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    Thanks!!! theres just alot of problems I dont get.. and hate to ask :) But Im glad you like helping.. makes me feel better. Felt like I was askin for to much. Ray GL bisects angle FGM. Suppose angle FGL measures (6x +4)º while angle LGM measures (8x - 4)º. What is the measure of angle FGM?

  28. LilVeroDez13
    • 3 years ago
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    |dw:1348970673713:dw|

  29. jim_thompson5910
    • 3 years ago
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    thx for the drawing |dw:1348967137392:dw|

  30. jim_thompson5910
    • 3 years ago
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    see how to get FGM ?

  31. LilVeroDez13
    • 3 years ago
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    I add 6x +4 and 8x - 4?

  32. jim_thompson5910
    • 3 years ago
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    exactly

  33. LilVeroDez13
    • 3 years ago
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    6x + 4 = 8x - 4 14x + 4 = -4 Im stuck

  34. jim_thompson5910
    • 3 years ago
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    no you just add the two expressions

  35. jim_thompson5910
    • 3 years ago
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    (6x+4)+(8x-4) 6x+4+8x-4 (6x+8x)+(4-4) 14x + 0 14x

  36. jim_thompson5910
    • 3 years ago
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    |dw:1348967448292:dw|

  37. LilVeroDez13
    • 3 years ago
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    :) Ohh.. and then?

  38. jim_thompson5910
    • 3 years ago
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    that's it, FGM is 14x degrees

  39. jim_thompson5910
    • 3 years ago
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    oh wait, i just remembered that GL bisects FGM

  40. jim_thompson5910
    • 3 years ago
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    you're right (my bad) 6x + 4 = 8x - 4 6x + 4-4 = 8x - 4 -4 6x = 8x - 8 6x-8x = 8x - 8-8x -2x = -8 -2x/(-2) = -8/(-2) x = 4

  41. jim_thompson5910
    • 3 years ago
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    so FGM = 14x FGM = 14*4 FGM = 56 So angle FGM is 56 degrees

  42. LilVeroDez13
    • 3 years ago
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    Thanks!! its okk :) it makes sense now

  43. jim_thompson5910
    • 3 years ago
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    ok great

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