Answer:
The correct option is A.
Step-by-step explanation:
If a graph is formed by connecting a single universal vertex to all vertices of a cycle, then it is known as wheel graph.
W₆ means wheel graph having 6 vertices as shown in the below figure.
Total number of edges in a wheel graph is 2(n-1), where n is number of vertices. So, the number of edges in W₆ is
In a spanning tree all the vertices covered with minimum possible number of edges. Total number of edges in a spanning tree is (n-1).
Total number of edges in a spanning tree which has 6 vertices is
The number of edges we need to remove is
Therefore the correct option is A.
Answer:
y ≈ 5.2
Step-by-step explanation:
∠ F = 180° - (42 + 48)° ← sum of angles in a triangle
∠ F = 180° - 90° = 90°
Thus Δ DEF is right at F
Using the sine ratio in the right triangle
sin48° = =
=
( multiply both sides by 7 )
7 × sin48° = y , then
y ≈ 5.2 ( to the nearest tenth )