Answer:
99°
Step-by-step explanation:
- m∠VUT = 10x + 9
- m∠BUT = 7x - 1
- m∠VUB = 37°
- m∠VUT = ?
<u>We see that</u>
- m∠VUT = m∠BUT + m∠VUT
- 10x + 9 = 7x - 1 + 37
- 10x - 7x = 36 - 9
- 3x = 27
- x = 9
<u>Angle VUT measures:</u>
I believe that it is 2,000 because you multiply it by 2 three times.
Answer:

Step-by-step explanation:
We will prove by mathematical induction that, for every natural n,

We will prove our base case (when n=1) to be true:
Base case:
As stated in the qustion, 
Inductive hypothesis:
Given a natural n,

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.
Inductive step:
Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:
- Move the first n stones from A to C (
moves). - Move the biggest stone from A to B (1 move).
- Move the first n stones from C to A (
moves). - Move the biggest stone from B to C (1 move).
- Move the first n stones from A to C (
moves).
Then,
.
Therefore, using the inductive hypothesis,

With this we have proved our statement to be true for n+1.
In conlusion, for every natural n,

Answer:
Rational
Step-by-step explanation:
Terminating means they end so they are rational