I believe the answer should be 4 and 2
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!
Answer:
(For the first two questions I do believe that you will need a protractor to calculate the angles.)
15)
measures out to -70° in order to display that the angle would be in quadrant IV (the bottom right quadrant.)
The first image attached shows where the angle should be located.
16)
is equal to 60° (the line you draw will be in quadrant 1 (the top right quadrant))
17) 350° is
or 6.11 (the answer depends on the format the professor wants.)
18) 240° is
radians or -4.19 (I am rounding to the nearest hundredths place the unsimplified answer is −4.18879020...)
Hello!!
Circumference of a circle = 2πr
and
Given, 2πr = 44cm
So,
πr = 44/2 = 22
r = 22 × 7/22
r = 7cm is the answer.
Stay safe and God bless!
- eli <3