Answer:
vertices (V) = 6, faces (F) = 12 and edges (E) = 16
Step-by-step explanation:
A polyhedron is a three-dimensional shape with straight edges and flat faces and sharp corners.The point where the faces of a polyhedron meet each other is known as the edge while the corners of the polyhedron is known as the vertices.
Euler formula gives the relationship between the number of vertices (V), faces (F) and edges (E) of a polyhedron. This formula is given as:
F + V - E = 2.
Given that:
E - V = 10, Therefore E = V + 10
F = 2 × V = 2V
Substituting into the Euler formula:
2V + V - (V + 10) = 2
2V + V - 10 - V = 2
2V = 12
V = 12/2 = 6
Therefore, E = V + 10 = 6 + 10 = 16
F = 2V = 2 × 6 = 12
The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Answer:
0.6
Step-by-step explanation:
i hope this helps! have a wonderful rest of ur day :)
11(x+10) = 132
Distributive property
11x + 110 = 132
Now isolate the variable.
11x + 110 = 132
-110 -110
132 - 110 = 22
11x = 22
11x/11 = 22/11
x= 2
Answer: x = 2
