anonymous
  • anonymous
The measure of angle SPR = 52º and the measure of angle QPR = 125º. What is the measure of angle QPS?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
It might help to draw a picture |dw:1348965652833:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1348965734563:dw|
anonymous
  • anonymous
I thought that i would subtract 125 and 52 to get the answer.. but i wasnt so sure that wass right.

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jim_thompson5910
  • jim_thompson5910
no, you add actually
anonymous
  • anonymous
125 + 52= 177 :)
jim_thompson5910
  • jim_thompson5910
you got it again
anonymous
  • anonymous
Thanks!! I actualy have one more question if thats ok? :))
jim_thompson5910
  • jim_thompson5910
sure go for it
anonymous
  • anonymous
:))!! 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?
anonymous
  • anonymous
|dw:1348969689076:dw| This is the pic it has with
jim_thompson5910
  • jim_thompson5910
|dw:1348966144511:dw|
jim_thompson5910
  • jim_thompson5910
6000 feet = 1.13636 miles (roughly)
jim_thompson5910
  • jim_thompson5910
|dw:1348966286941:dw|
jim_thompson5910
  • jim_thompson5910
The total length of AD is 3 miles, so 1.13636 + x + x = 3 solve that for x to find the answer
jim_thompson5910
  • jim_thompson5910
alternatively, you can convert 3 miles to feet to get 3 miles = 15,840 feet
jim_thompson5910
  • jim_thompson5910
then solve 6000 + x + x = 15840 for x to get the answer in feet
anonymous
  • anonymous
Do I combine both x's?
jim_thompson5910
  • jim_thompson5910
yes x+x becomes 2x
jim_thompson5910
  • jim_thompson5910
then what?
anonymous
  • anonymous
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
jim_thompson5910
  • jim_thompson5910
perfect, the distance is 4920 feet
jim_thompson5910
  • jim_thompson5910
to convert that to miles (optional in my opinion, but you never know), divide that by 5280
anonymous
  • anonymous
Divide 4920 and 5280?
jim_thompson5910
  • jim_thompson5910
yes, if you want to convert to miles, but I like the answer in feet (it's a much cleaner number)
anonymous
  • anonymous
Ahh i get what u mean :) Heyy sorry but could I bother u for one more. last one I promise :)
jim_thompson5910
  • jim_thompson5910
no worries, i like helping, what's your question?
anonymous
  • anonymous
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?
anonymous
  • anonymous
|dw:1348970673713:dw|
jim_thompson5910
  • jim_thompson5910
thx for the drawing |dw:1348967137392:dw|
jim_thompson5910
  • jim_thompson5910
see how to get FGM ?
anonymous
  • anonymous
I add 6x +4 and 8x - 4?
jim_thompson5910
  • jim_thompson5910
exactly
anonymous
  • anonymous
6x + 4 = 8x - 4 14x + 4 = -4 Im stuck
jim_thompson5910
  • jim_thompson5910
no you just add the two expressions
jim_thompson5910
  • jim_thompson5910
(6x+4)+(8x-4) 6x+4+8x-4 (6x+8x)+(4-4) 14x + 0 14x
jim_thompson5910
  • jim_thompson5910
|dw:1348967448292:dw|
anonymous
  • anonymous
:) Ohh.. and then?
jim_thompson5910
  • jim_thompson5910
that's it, FGM is 14x degrees
jim_thompson5910
  • jim_thompson5910
oh wait, i just remembered that GL bisects FGM
jim_thompson5910
  • 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
jim_thompson5910
  • jim_thompson5910
so FGM = 14x FGM = 14*4 FGM = 56 So angle FGM is 56 degrees
anonymous
  • anonymous
Thanks!! its okk :) it makes sense now
jim_thompson5910
  • jim_thompson5910
ok great

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