I'm not sure about what exactly your teacher is looking for, but the actual congruency conjecture you would use is:
(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles
Answer:
b. How many ways arc there to go 12 miles?
≡ p(12) = 25
c. How many ways arc there to go 20 miles?
≡ p(20) = 131
d. How many ways arc there to go 22 miles?
≡p(22) 199
Step-by-step explanation:
a) supposed you walked for the first hour. Then you would have travelled 3 miles. if you jogged you would have covered 5miles and if you run you would have covered 10miles. now you have to decide how to run the rest miles from the n miles.
Thus, the number of ways one can cover n miles will be given by the recurrence relation
p(n) = p( n-3) + p( n-5) + p( n - 10)
now to solve the rest of the question, let us make a table which provides the number of ways for n = 1 to 22.
check the attachment for the table
b. How many ways arc there to go 12 miles?
≡ p(12) = 25
c. How many ways arc there to go 20 miles?
≡ p(20) = 131
d. How many ways arc there to go 22 miles?
≡p(22) 199
Answer:
4k^3 - k^2 - 2k
Step-by-step explanation:
-k * -4k^2 = 4k^3
-k * k = -k^2
-k * 2 = -2k
4k^3 - k^2 - 2k
The answers are that the number can equal -4 or 1.
You can find this by setting the number equal to x.
x^2 (The square of a number) + 3x (three times a number) = 4
x^2 + 3x = 4 ---> subtract 4 from each side
x^2 + 3x - 4 = 0
Then you can factor this to find the answers
(x - 4)(x + 1) = 0
Set both equal to 0 and solve.