ProblemName: Dangerous Maneuvers: Somewhere in the Mojave Desert, the army set up training camps. Arachnid is 15 miles from
Canine. Bovine is 12 miles from Lupine. Feline is 6 miles from
Thirty-Nine. Lupine is 3 miles from Canine. Bovine is 9 miles from
Thirty-Nine. Bovine is 7 miles from Canine. Thirty-Nine is 1 mile from
Arachnid. Feline is 11 miles from Lupine. No other camps are
connected by roads. For each of the following, find the shortest route
between the camps and indicate both the mileage and the route: a)
Feline to Bovine, b) Canine to Thirty-Nine, c) Lupine to Thirty-Nine, d)
Lupine to Bovine, e) Canine to Feline, f) Arachnid to Feline and g)
Arachnid to Lupine.

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

you already gave the answer

step-by-step explanation:

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true

step-by-step explanation: