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.
Sorry this took forever. The website is hard to use because I'm used to using the app:)
Best of wishes!
Step-by-step explanation:
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V = rw
where; v = velocity , r = radius , w = angular speed
you're given the diameter = 0.5 miles so the radius = 0.25 miles
180 = (0.25)w
180/0.25 = w
720 radians per hour = w
2pi radians in 1 revolution
720 rad/hr * 1 rev / 2pi rad = 720/2pi rev/hr
= 114.6 rev/hr
Answer:
120 deg
Step-by-step explanation:
Answer:
g(-2) = -6
g(0) = 0
g(5) = 15
Step-by-step explanation:
For each of the evaluations, you have to plug in the number everywhere where there is an x