The complete question in the attached figure
we know that
angle y and angle (5y-18) are supplementary angles
then
y°+(5y-18)°=180°------> 6y=180+18------> y=198/6-----> y=33°
and
angle x and angle y are also supplementary angles
then
x+y=180--------> x=180-y-----> x=180-33-----> x=147°
the answer is
x=147°
y=33°
Answer:

Step-by-step explanation:
Assuming that a fair die is rolled.
- The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.
Let X be the set of all possible outcomes. Let A be an outcome.
So, the probability that A occurs is:

As the set of all possible outcomes of the roll of a single die is:

Observe that

Here
because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.
So, the probability must be zero.
In other words,


Therefore,

Answer:
Step-by-step explanation:
a.) The worst-case height of an AVL tree or red-black tree with 100,000 entries is 2 log 100, 000.
b.) A (2, 4) tree storing these same number of entries would have a worst-case height of log 100, 000.
c.) A red-black tree with 100,000 entries is 2 log 100, 000
d.) The worst-case height of T is 100,000.
e.) A binary search tree storing such a set would have a worst-case height of 100,000.
Answer: $13
Step-by-step explanation:
To determine the solution arithmetically in two steps, first divide 68.25 by 3 and then subtract 9.75 from the result. To determine the solution algebraically, set up and solve the equation 3(x+9.75)=68.25. Each friend paid $13 for dinner.