Which set could represent the side lengths of a triangle?
A
4 in., 6 in., 10 in.
B.
4 in., 5 in., 10 in.
С
5 in., 6 in., 12 in.
D
5 in., 5 in., 9 in.

So, the sum of two sides have to be greater than the third side for it to create a triangle.

Option A:

4 + 6 = 10

The first 2 sides aren't greater than the third side so, this is incorrect.

Option B:

4 + 5 = 9

The first 2 sides aren't greater than the third side so, this incorrect.

Option C:

5 + 6 = 11

The first 2 sides aren't greater than the third side so, this incorrect.

Option D:

5 + 5 = 10

The first 2 sides are greater than the third side so, this correct.

Therefore, the answer is Option D.

Best of Luck!

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

what is the graph

step-by-step explanation: