Answer:

Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values

solve for x
Combine like terms

Group terms



Find the measure of angle CDE

substitute the value of x

Answer:
D. x = 22.5
Step-by-step explanation:
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so


Answer:
30, 66 and 84 degrees.
Step-by-step explanation:
The number of degrees in a triangle is 180 degrees.
Work out the 'multiplier':
It = 180 / (14+5+11)
= 180/30
= 6.
So the angles are:
14*6 = 84
5*6 = 30
11*6 = 66.
Answer:
350
Step-by-step explanation:
Hope you have a great day and hope I helped