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,


The given Angles (4x + 2) and (3x + 3) are forming linear pair, so
now, let's find Angle DCB :
Answer:
The correct graph is graph E.
Step-by-step explanation:
We can tell this because we know the graph must stay below 3. So any graph over 3 gets thrown out. We also know that it must not go further down than -3. This is because any number over -3 as an input, when taking an absolute value, would be greater than 3.
Graph E shows numbers that are all less than 3 and greater than -3.
Answer:
Inequality Form:
2
−
√
11
<
x
<
2
+
√
11
Interval Notation:
(
2
−
√
11
,
2
+
√
11
)
Step-by-step explanation:
Solve the inequality for x by finding a
, b
, and c of the quadratic then applying the quadratic formula.
For eight loop, multiply it by 3 to get the whole length of loop
8 x 3 = 24 inches
Since 12 inches is equivalent to 1 feet, convert that
24 inches * (1 feet / 12 inches) = 2 feet