In the figure below, line Ad is parallel to line Hy and line GK is parallel to line CF. D-
3/4
12
16 15
13/14
5/6
877
9/10
12 11
F
Which argument correctly explains why m23=m29?
m23=mZ15, as they are exterior angles
m 15 =m210, as they are corresponding angles
m210=m29. as they are supplementary angles
o
m23=m28, as they are vertical angles
• m28=m_12. as they are corresponding angles
m212 = 29, as they are adjacent angles
O
m23=m24, as they are adjacent angles
m24 =mZ2, as they are supplementary angles
m22 =m29, as they are alternate interior angles
O
m23 =m22, as they are vertical angles

1 1/5

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

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: