The parallelogram shown represents a map of the boundaries of a natural preserve. walking trails run from points a to c and from points b to d. the measurements shown represent miles.
what is the sum of the lengths of the two trails?
6 miles
12 miles
16 miles
36 miles

Walking trails AC and BD represent the diagonals of the parallelogram ABCD. As known the diagonals of the parallelogram bisects each other.

Then

Since DE=BE, then

y+2=3y-4,

2y=6,

y=3.

And BD = y+2+3y-4=3+2+9-4=10 miles.

Since y=3 miles and AE=CE, then

AC=2CE=2(2y-3)=2(6-3)=6 miles.

The  sum of the lengths of the two trails is

AC+Bd=10+6=16 miles.

correct choice is C

no one knows lol

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be