Answer:
x = 8, y = 
Step-by-step explanation:

Both 8 and x sides are congruent so they're equal.
Add 64 + 64.
Square root 128

Final answers: x = 8, y = 
Answer: The cost of a ticket bought online is $12.60.
Step-by-step explanation: First, we need to find the value of the transaction fee. Multiply 12 and 5%.
$12 x 0.05 = $0.60.
Now we have the fee. Lets add the fee with the original cost.
$12 + $0.60 = $12.60.
Therefore, we can conclude that the cost of a ticket that is purchased online is $12.60.
Answer:
-89
Step-by-step explanation:
The first term of the sequence is a1 = -12.
The common difference between terms is ...
d = -13 -(-12) = -1
The generic term is given by ...
an = a1 +d(n -1)
Then the 78th term is ...
a78 = -12 +(-1)(78 -1) = -12 -77
a78 = -89
This is one pathway to prove the identity.
Part 1

Part 2

Part 3

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.
We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity
in the second to last step. I broke the steps into three parts to hopefully make it more manageable.