Which statement is true if the triangular prism and the triangular pyramid have the same base and height?
a.
the volume of the prism is 3 times the volume of the pyramid.
b.
the volume of the pyramid is 3 times the volume of the prism.
c.
the volume of the prism is one-third the volume of the pyramid.
d.
there is no relationship between the volumes of each shape.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

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