m∠3 = 70°
Solution:
Line l and line m are parallel.
line t and line s are transversals.
<em>Sum of the adjacent angles in a straight line = 180°</em>
50° + (x + 25)° + (2x)° = 180°
50° + x° + 25° + 2x° = 180°
75° + 3x° = 180°
Subtract 75° from both sides, we get
3x° = 105°
Divide by 3 on both sides of the equation.
x° = 35°
x = 35
(2x)° = (2 × 35)° = 70°
(2x)° and ∠3 are alternate interior angles.
<em>If two lines are parallel then alternate interior angles are congruent.</em>
m∠3 = (2x)°
m∠3 = 70°
Hence m∠3 = 70°.
So...that's telling you:
Y=0 at x=0 and x=2
The graph is decreasing when X is less than 1
f'(x) can not equal 0 with the previous statement.... please give the correct statement... I would assume that is is f'(1)=0, so there would be a max at x=1
f(x) is increasing when x is greater than 1
and if f''(x) is always 0, the graph is always concave downward.
Answer:
Step-by-step explanation:
Use Pythagorean's Theorem for a right triangle. Your best bet when learning/visualizing word problems is to draw a picture, then learn how to visualize in your head over time.
The radical can be further simplified because 135 is the product of 9 and 15. 9 has a perfect root of 3.
meters or 11.62 meters
Answer:
Step-by-step explanation:
deez buts
To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0.
C(x) = 400x - 0.2x²
dC(x) / dt = 400 - 0.4 x = 0
The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation,
C(x) = (400)(1000) - 0.2(1000²) = $ 200,000
Thus, the answer is letter B.
