The sum of three consecutive ODD integers is 105. What is the value of the SMALLEST?

33

Step-by-step explanation:

The difference between two consecutive odd integers is 2.

Let the smallest odd integer be x.

The next greater odd integer is x + 2.

The next greater odd integer is 2 more than the second one, so it is

x + 2 + 2 = x + 4.

The 3 odd integers are x, x + 2, x + 4.

Add them and set the sum equal to 105. Then solve for x.

x + x + 2 + x + 4 = 105

3x + 6 = 105

3x = 99

x = 33

The smallest of the 3 integers is 33.

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