2. you spin a spinner that has eight equal-sized sections numbered one to eight. which event is
least likely to occur?
the number is even.
the number is less than three.
the number is greater than three.
the number is a multiple of five.

Getting a multiple of 5 is the least likely outcome.

Step-by-step explanation:

We spin a spinner that has 8 equal-sized sections numbered 1 - 8.

We have to find which is the least likely to occur.

The number is even when outcomes are 2,4,6 or 8.

Number of outcomes = 4

If the number is less than 3, the number of possible outcomes are 2 that is 1 and 2.

If the number is greater than 3 , number of possible outcomes is 5 which are 4,5,6,7 and 8.

If the number is a multiple of 5, only 1 outcome is there which is 5 itself.

Hence getting a multiple of 5 is the least likely outcome.

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