Which polyhedron has more faces than a tetrahedron but fewer faces than an

octahedron?

pentahedron, hexahedron  and heptahedron

Step-by-step explanation:

We have that a polyhedron is a geometric body whose faces are flat and contain a finite volume, depending on the number of faces, its name varies.

Now a tetrahedron has 4 faces and an octahedron has 8, therefore there are 3 polyhedra that fit the description, the following:

pentahedron 5 faces

hexahedron 6  faces

heptahedron  7 faces

Which means that the pentahedron, hexahedron  and heptahedron could be those polyhedron

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.