All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?

A. an equilateral triangle
B. a regular hexagon

  rhombus

Step-by-step explanation:

The cut described intersects each of four faces on an altitude line for that face. Since all edges are the same length, all altitude lines are the same length. The resulting figure has four same-length sides, so is a rhombus.

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.