Answer:
x = 25
Step-by-step explanation:
Here's my work. Basically, I knew that the x in angle A is alternate interior to angle C, so they would both be x. the 50 degrees is one a 180 degree line, so the inside of the triangle DCB is 130. X must equal x, so they would both be 25 degrees.
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
First, figure out how many total cookies you need. You do this by multiplying the number of friends times the number of cookies each friend will get.
8 x 3 = 24
Then, you take the number of cookies and divide it by the number in each box to find the number of boxes you need.
24/6 = 4
Quan should get 4 boxes.
The equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.
<h3>What is the equation which represents the data in the table as attached?</h3>
It follows from the task content that the slope of the relation can be determined by means of the slope formula for a linear equation as follows;
Slope = (1-(-1))/(-1 -(-2))
Slope = 2.
Hence, the equation which represents the function is;
2 = (y-(-1))/(x -(-2))
2x + 4 = y +1
y = 2x + 3.
Therefore, the equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.
Read more on equation of a table;
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