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:
103.5
Step-by-step explanation:
c is correct
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².
Suppose that the <u>function</u> f(x) is the <u>parrent</u> function and the<u> graph</u> of the function g(x)=f(x)-a can be obtained from the graph of the parrent function f(x) by <u>shifting down</u> a units.
Rewrite the expression for the function 
in the following way:
This shows that the shift down is made by 17 units.
Answer: 17 units
Answer:
The number of feet of fencing that he needs will be equal to the perimeter of the circular patio.
We know that the perimeter of a circle of radius R is equal to:
P = 2*pi*R
where pi = 3.14
Then if the radius of the patio is 70ft, the perimeter of the patio will be:
P = 2*3.14*70ft = 439.6 ft
Then he needs 439.6 ft of fencing to enclose the patio.
