Determine whether the situation involves a permutation or a combination, and how many possibilities are there are?

a team of six students is chosen from a class of 36.

This situation involves a combination as the team will be the same no matter what order the students are chosen in.

There are 1402410240 possibilities for the six student team

Step-by-step explanation:

Each time a student is chosen, they cannot be chosen again, so the number of available students decreases each time that one is chosen.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180