Answer:
To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.
f = -10 because you add 8f on both sides causing it to be 10+f=0
Then, you subtract 10 from both sides to get f = -10
Tyhir took a total of 16 lessons from Ms. Carter.
Work: 695-55 ( because the question is not asking for recitals). Then you do 640/40. That gives you an answer of 16.
Have a nice day!!!
1 $ = 100 cents
1.5 $ = 150 cents
1.50 $ a percentage of 200 cents = (150/200)100= 75%