D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF?

The answer 90 degrees.

Step-by-step explanation:

DE^2 = 1 + 16 = 17.  

EF^2 = 16 + 1 = 17.  

DF^2 = 9 + 25 = 34.  

Since (DE)^2 + (EF)^2 = (DF)^2,  

angle E is 90 degrees.

well my understanding of this question is they want you to use the y=14.1x -2.3 and put the coordinates they gave you onto the line segment of   y=14.1x -2.3

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is