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

- anonymous

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- schrodinger

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- jim_thompson5910

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

- jim_thompson5910

|dw:1348965734563:dw|

- 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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## More answers

- jim_thompson5910

no, you add actually

- anonymous

125 + 52= 177 :)

- jim_thompson5910

you got it again

- anonymous

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

- jim_thompson5910

sure go for it

- 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

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

- jim_thompson5910

|dw:1348966144511:dw|

- jim_thompson5910

6000 feet = 1.13636 miles (roughly)

- jim_thompson5910

|dw:1348966286941:dw|

- 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

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

- jim_thompson5910

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

- anonymous

Do I combine both x's?

- jim_thompson5910

yes x+x becomes 2x

- jim_thompson5910

then what?

- 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

perfect, the distance is 4920 feet

- jim_thompson5910

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

- anonymous

Divide 4920 and 5280?

- jim_thompson5910

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

- anonymous

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

- jim_thompson5910

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

- 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

|dw:1348970673713:dw|

- jim_thompson5910

thx for the drawing
|dw:1348967137392:dw|

- jim_thompson5910

see how to get FGM ?

- anonymous

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

- jim_thompson5910

exactly

- anonymous

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

- jim_thompson5910

no you just add the two expressions

- jim_thompson5910

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

- jim_thompson5910

|dw:1348967448292:dw|

- anonymous

:) Ohh.. and then?

- jim_thompson5910

that's it, FGM is 14x degrees

- jim_thompson5910

oh wait, i just remembered that GL bisects FGM

- 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

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

- anonymous

Thanks!! its okk :) it makes sense now

- jim_thompson5910

ok great

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