Answer:
2
Step-by-step explanation:
30:6
divide both by a common multiple
LCM: 6
5:1
Answer:
40
Step-by-step explanation:
As the total circumference of a circle is 360 degrees, the measure of the unknown arc is 360-150-130=80 degrees.
So, by the inscribed angle theorem, angle 1 measures 40 degrees.
Answer:
This proves that f is continous at x=5.
Step-by-step explanation:
Taking f(x) = 3x-1 and
, we want to find a
such that 
At first, we will assume that this delta exists and we will try to figure out its value.
Suppose that
. Then
.
Then, if
, then
. So, in this case, if
we get that
. The maximum value of delta is
.
By definition, this procedure proves that
. Note that f(5)=14, so this proves that f is continous at x=5.