The angle adjacent to angle 6 is the one we need to find first. To do this, add the measures of the intercepted arcs and divide by 2. 60 + 50 = 110, and half of that is 55. That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent). The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well. 360 - 55 - 55 = 250. Split that up between angle 6 and its vertical angle to get that each of those measure 125. Angle 6 measures 125, choice b from above.
Answer:
Step-by-step explanation:
Circumference = 6π
θ = 8/3 = 2.7 radians
Answer:
63*
Step-by-step explanation:
The first thing you need to do is find the value of x. What I did for this was trial and error. I tried a number, and if it was too big, I tried a smaller one. If you add up all of the angles, it should equal up to 180*, so I kept on doing this until I added up to 180.
The answer I got was x=8, so I plugged this into the equation for A and solved. 9x8 is 72, and 72-9 is 63.
Therefore, 63 is the correct answer.
Answer:
Open dot at -1 and shaded to the right.
Step-by-step explanation:
First you have to solve the inequality are you get |y|>-1
Now you can plot the inequality by placing an open dot on -1 since the inequality is greater than.
Since the inequality is greater than, you also have to shade when all y values are greater than -1 so you would shade to the right.
Answer:
y = 14
Step-by-step explanation:
First find the slope of the line. To find the slope of the line, use the slope formula:

The slope of the line is 2.
Repeat this same process instead with points (1,4) and (6,y). Substitute m = 2.

So y = 14.