Which of these formulas models this arithmetic sequence?
8.7, 8.4, 8.1,7.8, 7.5,...

The formula to model the arithmetic sequence will be:

Step-by-step explanation:

Given the sequence

An arithmetic sequence has a constant difference d and is defined by:

Computing the differences between all adjacent terms:

The difference between all adjacent terms is the same and equal to

The first element of the sequence is

so

Therefore, the nth term is computed by:

           ∵

Therefore, the formula to model the arithmetic sequence will be:

(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

answer: the correct answer is -32

step-by-step explanation: