N = 80 degrees
P = 95 degrees
M = 95 degrees
N and 100 form a 180 degree angle and thus you can solve using subtraction.
P is the same angle as the angle opposite of it.
You can get M by subtracting the other 3 angles from 360.
Answer is 6 if you do 35+1 that gives you 36, the square root of 36 is 6 .6•6=36 so that’s your answer 6
Answer:
x=40
Step-by-step explanation:
4/25 = X/250
x=(4 . 250) /25
x=40
Since both α and β are in the first quadrant, we know each of cos(α), sin(α), cos(β), and sin(β) are positive. So when we invoke the Pythagorean identity,
sin²(x) + cos²(x) = 1
we always take the positive square root when solving for either sin(x) or cos(x).
Given that cos(α) = √11/7 and sin(β) = √11/4, we find
sin(α) = √(1 - cos²(α)) = √38/7
cos(β) = √(1 - sin²(β)) = √5/4
Now, recall the sum identity for cosine,
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
It follows that
cos(α + β) = √11/7 × √5/4 - √38/7 × √11/4 = (√55 - √418)/28
Answer:
12
Step-by-step explanation:
P(x) has infinitely many solutions, but I am going to find the easiest one, which would be a linear equation.
First, notice that x-2 perfectly divides into itself.
Then, if you add 12 to x-2, you will end up with a remainder of 12. Therefore, P(x) would be x-2+12 = x+10.
Now that we know P(x), we can directly plugin 2 to find out P(2):
2+10 = 12
Therefore, P(2) = 12.
