Mario’s company makes unusually shaped imitation gemstones. One gemstone had 12 faces and 10 vertices. How many edges did the gemstone have?

A. 23 edges
B. 22 edges
C. 25 edges
D. 20 edges****

You are correct, it is D

F = 12, V = 10
V - E + F = 2
10 - E + 12 = 2
-E + 22 = 2
-E = -20
E = 20

Thank you

thanks for the help

D. 20 edges

To find the number of edges in the gemstone, we can use Euler's formula, which states that for any polyhedron (a solid with flat faces), the number of faces (F), vertices (V), and edges (E) are related by the equation F + V = E + 2.

In this case, the gemstone has 12 faces (F) and 10 vertices (V). Let's substitute these values into the formula:

12 + 10 = E + 2

Simplifying the equation:

22 = E + 2

Next, subtract 2 from both sides to isolate E:

E = 22 - 2

E = 20

Therefore, the gemstone has 20 edges. The correct answer is option D.