Problem 1
x = measure of angle N
2x = measure of angle M, twice as large as N
3(2x) = 6x = measure of angle O, three times as large as M
The three angles add to 180 which is true of any triangle.
M+N+O = 180
x+2x+6x = 180
9x = 180
x = 180/9
x = 20 is the measure of angle N
Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.
<h3>Answers:</h3>
- Angle M = 40 degrees
- Angle N = 20 degrees
- Angle O = 120 degrees
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Problem 2
n = number of sides
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
2700 = 180(n-2)
n-2 = 2700/180
n-2 = 15
n = 15+2
n = 17
<h3>Answer: 17 sides</h3>
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Problem 3
x = smaller acute angle
3x = larger acute angle, three times as large
For any right triangle, the two acute angles always add to 90.
x+3x = 90
4x = 90
x = 90/4
x = 22.5
This leads to 3x = 3*22.5 = 67.5
<h3>Answers:</h3>
- Smaller acute angle = 22.5 degrees
- Larger acute angle = 67.5 degrees
Answer:
π = V/(2r²+2rh)
Step-by-step explanation:
"Solving" for something means to isolate it on one side of an equation. Because both terms on the right side of the equation have π in common, we can factor it out. Then from there, you just divide the rest of it on both sides to isolate π. It should look like this:
V=2πr^2 + 2πrh
V=π(2r² + 2rh)
V/(2r² + 2rh)=π
Answer:
Step-by-step explanation:
1 = 1/16 (one chance on 16
2 = 7/16 (the non shaded parts are 7, while the total parts are 16)
3 = 11/16 ( 11 is unshaded + even)
4 = 4/16 = 1/4 (the favourable possibilities are: 13, 14, 15, 16)
Answer: I don’t think it is possible to cancel an account but you can log out
Step-by-step explanation:
if you want to cancel your subscription, then go to your brainly app in settings and it should show you how to cancel a subscription
Answer:
235$
Step-by-step explanation:
85+2x=555
-85 -85
2x=470
2x/2x 460/2x
235
so the freshman class raised 235$