One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.
Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).
The percentage change is 20%
<span>A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm. The equation that best models green light is </span><span>y= sin 510/pi theta. The answer is letter C.</span>
<h3>
Answer: x = 40</h3>
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Work Shown:
A+B+C = 180 ..... three angles of any triangle add to 180
(2x+10)+(x)+(2x-30) = 180
5x-20 = 180
5x = 180+20 .... adding 20 to both sides
5x = 200
x = 200/5 ... dividing both sides by 5
x = 40
This is the measure of angle B
We can stop here.
If you need to know the values of the other angles, then,
- angle A = 2x+10 = 2*40+10 = 90
- angle C = 2x-30 = 2*40-30 = 50
Then note how A+B+C = 90+40+50 = 90+90 = 180 which helps confirm our answer.
Hello there!
I see you got some work done already, but I guess you just wanted to double check! :)
3n + 8 = 20
3n = 20 -8 (Subtract 8 on both sides).
3n = 12 (Combine like terms).
n = 4 ( divide both sides by 3)
There you have your answer! :D
Hope this helped!
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