Ben uses a compass and a straightedge to construct ∠DEF ≅ ∠ABC, as shown below: The art shows two figures. The figure on the left shows two rays BA and BC having a common end point B. An arc drawn from B cuts the ray BA at H and the ray BC at I. The figure on the right shows two rays ED and EF having a common end point E. An arc drawn from E cuts the ray ED at J and the ray EF at K. Another arc drawn from K cuts the ray ED at J. Which statement best explains why Ben uses the width HI to create the arc at J from point K? ∠DEF ≅ ∠ABC when EJ is constructed equal to HI. ∠DEF ≅ ∠ABC when JK is constructed equal to HI. Angle HIB is equal to angle JEK when ∠DEF ≅ ∠ABC. Angle BHI is equal to angle JKE when ∠DEF ≅ ∠ABC.

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

he earned 78.75 in interest.

step-by-step explanation:

step-by-step explanation:

for future students the answer is b

hope i

-lavira: )