LilVeroDez13
The measure of angle SPR = 52º and the measure of angle QPR = 125º. What is the measure of angle QPS?
Delete
Share
This Question is Closed
jim_thompson5910
Best Response
You've already chosen the best response.
1
It might help to draw a picture
|dw:1348965652833:dw|
jim_thompson5910
Best Response
You've already chosen the best response.
1
|dw:1348965734563:dw|
LilVeroDez13
Best Response
You've already chosen the best response.
1
I thought that i would subtract 125 and 52 to get the answer.. but i wasnt so sure that wass right.
jim_thompson5910
Best Response
You've already chosen the best response.
1
no, you add actually
LilVeroDez13
Best Response
You've already chosen the best response.
1
125 + 52= 177 :)
jim_thompson5910
Best Response
You've already chosen the best response.
1
you got it again
LilVeroDez13
Best Response
You've already chosen the best response.
1
Thanks!! I actualy have one more question if thats ok? :))
jim_thompson5910
Best Response
You've already chosen the best response.
1
sure go for it
LilVeroDez13
Best Response
You've already chosen the best response.
1
:))!! 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?
LilVeroDez13
Best Response
You've already chosen the best response.
1
|dw:1348969689076:dw|
This is the pic it has with
jim_thompson5910
Best Response
You've already chosen the best response.
1
|dw:1348966144511:dw|
jim_thompson5910
Best Response
You've already chosen the best response.
1
6000 feet = 1.13636 miles (roughly)
jim_thompson5910
Best Response
You've already chosen the best response.
1
|dw:1348966286941:dw|
jim_thompson5910
Best Response
You've already chosen the best response.
1
The total length of AD is 3 miles, so
1.13636 + x + x = 3
solve that for x to find the answer
jim_thompson5910
Best Response
You've already chosen the best response.
1
alternatively, you can convert 3 miles to feet to get
3 miles = 15,840 feet
jim_thompson5910
Best Response
You've already chosen the best response.
1
then solve
6000 + x + x = 15840
for x to get the answer in feet
LilVeroDez13
Best Response
You've already chosen the best response.
1
Do I combine both x's?
jim_thompson5910
Best Response
You've already chosen the best response.
1
yes x+x becomes 2x
jim_thompson5910
Best Response
You've already chosen the best response.
1
then what?
LilVeroDez13
Best Response
You've already chosen the best response.
1
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
Best Response
You've already chosen the best response.
1
perfect, the distance is 4920 feet
jim_thompson5910
Best Response
You've already chosen the best response.
1
to convert that to miles (optional in my opinion, but you never know), divide that by 5280
LilVeroDez13
Best Response
You've already chosen the best response.
1
Divide 4920 and 5280?
jim_thompson5910
Best Response
You've already chosen the best response.
1
yes, if you want to convert to miles, but I like the answer in feet (it's a much cleaner number)
LilVeroDez13
Best Response
You've already chosen the best response.
1
Ahh i get what u mean :) Heyy sorry but could I bother u for one more. last one I promise :)
jim_thompson5910
Best Response
You've already chosen the best response.
1
no worries, i like helping, what's your question?
LilVeroDez13
Best Response
You've already chosen the best response.
1
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?
LilVeroDez13
Best Response
You've already chosen the best response.
1
|dw:1348970673713:dw|
jim_thompson5910
Best Response
You've already chosen the best response.
1
thx for the drawing
|dw:1348967137392:dw|
jim_thompson5910
Best Response
You've already chosen the best response.
1
see how to get FGM ?
LilVeroDez13
Best Response
You've already chosen the best response.
1
I add 6x +4 and 8x - 4?
jim_thompson5910
Best Response
You've already chosen the best response.
1
exactly
LilVeroDez13
Best Response
You've already chosen the best response.
1
6x + 4 = 8x - 4
14x + 4 = -4
Im stuck
jim_thompson5910
Best Response
You've already chosen the best response.
1
no you just add the two expressions
jim_thompson5910
Best Response
You've already chosen the best response.
1
(6x+4)+(8x-4)
6x+4+8x-4
(6x+8x)+(4-4)
14x + 0
14x
jim_thompson5910
Best Response
You've already chosen the best response.
1
|dw:1348967448292:dw|
LilVeroDez13
Best Response
You've already chosen the best response.
1
:) Ohh.. and then?
jim_thompson5910
Best Response
You've already chosen the best response.
1
that's it, FGM is 14x degrees
jim_thompson5910
Best Response
You've already chosen the best response.
1
oh wait, i just remembered that GL bisects FGM
jim_thompson5910
Best Response
You've already chosen the best response.
1
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
Best Response
You've already chosen the best response.
1
so
FGM = 14x
FGM = 14*4
FGM = 56
So angle FGM is 56 degrees
LilVeroDez13
Best Response
You've already chosen the best response.
1
Thanks!! its okk :) it makes sense now
jim_thompson5910
Best Response
You've already chosen the best response.
1
ok great