Instructions: Find the measure of the indicated angle to the
nearest degree

35 degrees

Step-by-step explanation:

In this situation we will be using opposite/hypotenuse, as that is what is shown to us through SohCahToa.

Since we are trying to find the angle we will need to use arcsin.

arcsin(31/54)

the angle is 35 degrees

Step-by-step explanation:

We need to find the given angle, and we are given the sides opposite to it and the hypotenuse. Therefore, we can use sine. Recall that:

Plug in the numbers. The opposite side is 31 while the hypotenuse is 54.

(I forgot to mention this last time, but we can only do this because the triangle is a right triangle.)

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

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)