Mr. and Mrs. Smith plan to roof the cabin on
1 answer:
You might be interested in
Answer:
a.
b.
Step-by-step explanation:
a. We know that angles in a triangle add up to 180°.
-The right angle triangle in the right triangle has a measure of 90°.
We can therefore equate our angles to 180° and solve for x;
Hence, the angle measure is x=10°
b. Having calculated the value of x from a above as x=10°, we can substitute to find the measures of the two acute angles:
Since, the m∠K is a right angle, it measures 90°
The rule for the sequence is S(n) = 2S(n-1) - S(n-2)
Alternative form: S(n) = S(n-1) + 3
Step-by-step explanation:
In this problem, we know the first two terms of the sequence:
S(1) = 2
S(2) = 5
We are told that each term after the second is created by subtracting the term before the previous term from twice the previous term. In other words, if we call:
S(n) the current term
S(n-1) the previous term
S(n-2) the term before the previous term
This statement translates into the following sequence:
S(n) = 2S(n-1) - S(n-2)
Because we are subtracting the term before the previous term, S(n-2), from twice the previous term, 2S(n-1).
We can apply now the rule to find the first few terms of the sequence after S(1) and S(2):
We notice also that each term of the sequence is just equal to the previous term plus 3, so the sequence can also be written as
S(n) = S(n-1) + 3
Learn more about sequences:
#LearnwithBrainly