Graphically, a point is a solution to a system of two inequalities if and only if a. the point lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequalityb. the point lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequalityc. the point lies in the shaded regions of both the top and bottom inequalitiesd. the point does not lie in the shaded regions of the top or bottom in

The correct answer is:

C) the point lies in the shaded regions of both the top and bottom inequalities

Explanation:

When we graph a linear inequality, the shaded area represents the solution set to that inequality.

When we have a system of two linear inequalities, a solution to the system is a point that satisfies both inequalities. This means that the point must lie in both shaded sets, or it will not satisfy both inequalities.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.