Abc is an obtuse triangle. which is true about point d?

point d can be the orthocenter because it is the point of intersection of three segments coming from the vertices of the triangle.

point d can be the orthocenter because each vertex angle appears to be bisected.

point d cannot be the orthocenter because the orthocenter of an obtuse triangle is located outside the triangle.

point d cannot be the orthocenter because the orthocenter of an obtuse triangle is located on the perimeter of the triangle.

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