On the attached drawing what is the name for angle lhj? obtuse, acute, complementary or right?

Right (Last option)

Step-by-step explanation:

As you can see in the figure, the parallel lines AD and GJ are intersected  by two lines.

The line EL intersects the parallel lines and there are two angles that are formed by this intersections which are located on the exterior of AD and GJ, but  on opposite sides of EL, (these angles are called "Alternate exterior angles" and they are congruent), which are:

 ∠LHJ and ∠EBA

You can observe that the angle ∠EBA is indicated with a square. This means that the measure of that angle is 90° (Right angle).

Therefore, if ∠EBA=90°, then ∠LHJ =90°

The correct answer is last option Right

Step-by-step explanation:

From the figure we can see that,

AD ║ GJ and LE is the traversal.

And also given <ABE = 90°

Fro figure we get <ABE and <GHB are corresponding angles. Corresponding angles are equal.

Therefore <GHB = 90°

To find the <LHJ

From figure we can see that <LHJ and <GHB are vertically opposite angles.

Vertically opposite angles are  equal.

Therefore <LHJ = <GHB = 90°

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

b

step-by-step explanation: