which of the following is equivalent to the set {monday, tuesday, wednesday, thursday, friday, saturday, sunday}?
(you may select more than one)
question 4 options:
{x | x is one of the seven wonders of the ancient world}
{x | x is one of the six nobel prize categories}
{x | x is the number of humans who can breathe unassisted underwater}
{x | x is a letter of the alphabet
{x | x is one of the two lead singers of van halen}
{x | x is a day of the week}

The answer is:  {x | x is a day of the week}

Step-by-step explanation:

The mathematical expression {x | x is a day of the week}, uses set theory notation and can be translated as: The set of all x such that x is a day of the week. Since the original set contains all days of the week, therefore it is equivalent to the expression  {x | x is a day of the week}.

the solution is 12x-6y

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).