Complete the table and pattern. determine the common difference. write the explicit rule.

the 2 blanks on the 3rd column would be 3 over 45

the blank over 56 would be 4

the blank next to 56 is 67

the one above 67 is 5

the one next to 5 would be 6

the one below 6 is 78

the one beside 78 is 89

i dont know the answer to the questions below the table.

First term = 23  Common difference = 11

Explicit rule =  11n + 12

Step-by-step explanation:

Lets find the common difference:-

d = 34 - 23 = 11

d = (56 - 34) / 2

= 22/2 = 11

this is an arithmetic sequence with common difference d = 11 and first term = 23

Explicit rule is a1 +(n - 1)d = 23 + 11(n-1)

=  11n + 12

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

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: