For this case we have the following system:
To solve, we first change the inequality for an equality:
Matching we have:
So:
Thus, 
is the point of intersection of the lines.
Answer:
The graphic is attached
Answer:
Step-by-step explanation:
The given hexagon has interior angles
x,x,x, x/2, x/2, x/2 for a total of S1=4.5x.
We also know that the sum of interior angles of any polygon of n sides is
S2=180(n-2)
For a hexagon, S2 = 180(6-2) = 720°.
Equating S1 and S2
4.5x = 720
x = 720/4.5 = 160.
Therefore substitute x in the given angles to get
{160°,160°.160°,80°,80°,80°}
,
,
We find the probability of intersection using the inclusion/exclusion principle:
By definition of conditional probability,
For
and
to be independent, we must have
in which case we have
, which is true, so
and
are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have
which is also true.
A = 2
b = 0
2a + 2b = 4 → 4a + 4b = 8
(4a + 4b = 8) - (4a - 3b = 8) → 7b = 0
b = 0
so a = 2
Answer:
It should be 1/2 sorry if i"m wrong
