The volume
v
of a fixed amount of a gas varies directly as the temperature
t
and inversely as the pressure
p
. suppose that
=v42cm3
when
=t84
kelvin and
=p8kgcm2
. find the temperature when
=v74cm3
and
=p10kgcm2
.

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.