Answer:
x = 29
Step-by-step explanation:
The three angles of a triangle add to 180
x+90+61 = 180
Combine like terms
x+151 = 180
Subtract 151 from each side
x+151-151 = 180-151
x = 29
Answer:
A
Step-by-step explanation:
because you need to reflect to match the shape
F(x) = x - 2sinx
To find for what values of x graph has tangents we need to differentiate function f(x).
f'(x) = 1-2cosx
Now, if we want to have horizontal tangents we need to make function f'(x) equal to 0 because at minimum or maximum of function f(x) tangent is horizontal.
1-2cosx = 0
cosx = 1/2
x = pi/3 + 2*n*pi and
x = -pi/3 + 2*n*pi
Explanation: cosx = 1/2 for both 60° and -60°. If we make one circle cosx will be equal to 1/2 for 420 and 300 degrees. Writing degrees in radians (using pi) we can write formulas above where 2*pi represents one full circle and n is an integer which represents how many circles we made.
Answer:
12 3/8
Step-by-step explanation:
16 -3 5/8 =12 3/8
to check:
12+3=15,
3/8+5/8= 8/8 which =1
so, 15+1=16
