Lines m and n are parallel.
what is angle 1?
35 degrees
50 degrees
55 degrees
75 degrees

55 degrees.

Step-by-step explanation:

We know that lines M and N are parallel.

The angle 1, is the angle in the first quadrant formed by the intersection of lines k and n.

we can see that in the quadrant 1 of the intersection between lines k and m, the angle is 55°

Then knowing that n and m are parallel, the angles in each quadrant of the intersection km must coincide with the angles in the corresponding quadrants of kn.

Then we have that the angle 1 must be equal to 55°

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

answer:

step-by-step explanation: