Given a = {(1, , 5}(6, 4)}, b = {(2, 0)(4, , 5)(0, 0)} and c = {(1, 1)(0, 2)(0, 3)(0, , 5)}, answer the following multiple choice question:
from the list of sets a, b, and c above, choose the set of relations that correctly represents a function

Sets A and B correctly represents a function

Step-by-step explanation:

Sets can be rewritten as follows

A)

 x | y

-1 | 5

 1 | 3

6 | 4    

B)

x | y

-4 | 5

0 | 0

2 | 0

4 | 6

C)

x | y

-3 | 5

0 | 2

0 | 3

0 | 4

 1 | 1

Every function relates inputs (x-values) with outputs (y-values). But every x-value has to have one and only one correspondent y-value. In set C there are 3 y-values associated with x = 0; so, it isn't a function. There is no problem with sets A and B

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