## LilVeroDez13 3 years ago The measure of angle SPR = 52º and the measure of angle QPR = 125º. What is the measure of angle QPS?

1. jim_thompson5910

It might help to draw a picture |dw:1348965652833:dw|

2. jim_thompson5910

|dw:1348965734563:dw|

3. LilVeroDez13

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

4. jim_thompson5910

5. LilVeroDez13

125 + 52= 177 :)

6. jim_thompson5910

you got it again

7. LilVeroDez13

Thanks!! I actualy have one more question if thats ok? :))

8. jim_thompson5910

sure go for it

9. LilVeroDez13

:))!! 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

|dw:1348969689076:dw| This is the pic it has with

11. jim_thompson5910

|dw:1348966144511:dw|

12. jim_thompson5910

6000 feet = 1.13636 miles (roughly)

13. jim_thompson5910

|dw:1348966286941:dw|

14. jim_thompson5910

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

alternatively, you can convert 3 miles to feet to get 3 miles = 15,840 feet

16. jim_thompson5910

then solve 6000 + x + x = 15840 for x to get the answer in feet

17. LilVeroDez13

Do I combine both x's?

18. jim_thompson5910

yes x+x becomes 2x

19. jim_thompson5910

then what?

20. LilVeroDez13

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

perfect, the distance is 4920 feet

22. jim_thompson5910

to convert that to miles (optional in my opinion, but you never know), divide that by 5280

23. LilVeroDez13

Divide 4920 and 5280?

24. jim_thompson5910

yes, if you want to convert to miles, but I like the answer in feet (it's a much cleaner number)

25. LilVeroDez13

Ahh i get what u mean :) Heyy sorry but could I bother u for one more. last one I promise :)

26. jim_thompson5910

no worries, i like helping, what's your question?

27. LilVeroDez13

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

|dw:1348970673713:dw|

29. jim_thompson5910

thx for the drawing |dw:1348967137392:dw|

30. jim_thompson5910

see how to get FGM ?

31. LilVeroDez13

I add 6x +4 and 8x - 4?

32. jim_thompson5910

exactly

33. LilVeroDez13

6x + 4 = 8x - 4 14x + 4 = -4 Im stuck

34. jim_thompson5910

no you just add the two expressions

35. jim_thompson5910

(6x+4)+(8x-4) 6x+4+8x-4 (6x+8x)+(4-4) 14x + 0 14x

36. jim_thompson5910

|dw:1348967448292:dw|

37. LilVeroDez13

:) Ohh.. and then?

38. jim_thompson5910

that's it, FGM is 14x degrees

39. jim_thompson5910

oh wait, i just remembered that GL bisects FGM

40. jim_thompson5910

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

so FGM = 14x FGM = 14*4 FGM = 56 So angle FGM is 56 degrees

42. LilVeroDez13

Thanks!! its okk :) it makes sense now

43. jim_thompson5910

ok great