ASAP what is the 8th term in the following sequence • 48 • 58 • 63 • 73
2 answers:
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Answer:
We know that the sum of the degrees of the vertices of the graph is twice the number of edges of the graph.
Let be a graph with vertices
Then where
is the number of edges of the graph. Since the graph is regular of degree r then all vertices have degree r. Thus,
In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),
Where
Thus,
thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,
Thus, from the theorem of similar triangles,
solving for y, we have
thus, YC = 10.
