Reka J. answered • 08/08/19

Great Geometry tutor

1) The formula for the volume of pyramid with same base and height is Bh/3. So ratio of volume of the pyramid and the volume of prism is

(Bh/3)/Bh = 1/3. So possible ans is 1 to 3

2) To prove m<G+m<E = 180 degree, use inscribed quadrilateral theorem which states that a quadrilateral can be inscribed in circle if and only if the opposite angles of a quadrilateral are supplementary.

Inscribed angle E has half the measurements of intercepted arc DGF

Intercepted arc DGF is 180 degree because full circle is 360 degree

So angle E is 90 degree

Similarly we can prove that inscribed angle G has half the measurements of intercepted arc DEF which is 180 degree so

angle G is 90 degree

Therefore m<E+m<E = 90+90 = 180 degree