Determine if the sequence is algebraic or geometric, and find the common difference or ratio.

x 1 2 3 4
f(x) 81 72 63 54
algebraic, common difference = 9
algebraic, common difference = −9
geometric, common ratio = 9
geometric, common ration = −9

Algebraic, common difference = −9

Step-by-step explanation:

The first term of the series is 81, the second term is 72, the third term is 63 and the fourth term is 54.

So, the value of the terms decreases as the number of terms increases and this decrease in value is common and it is 9.

Therefore, the series is Algebraic series and the common difference is - 9. (Answer)

rounding to the nearest thousandth would be 452,000

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq