A polyhedron has 9 vertices and 16 edges. How many faces does it have?

9 faces

Step-by-step explanation:

In geometry, we use Euler's formula, and it looks like this:

V − E + F = 2

where

V= the number of vertices of a polyhedron

E= the number of edges of a polyhedron

F= the number of faces of a polyhedron.

V = 9

E = 16

F = ?

V − E + F = 2

9 - 16 + F = 2

F = 2 + 16 - 9

F = 9

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it