Given the lines AB and CD, what conclusion can be made about the relationship of the lines? Be sure to include, in complete sentences, how the conclusion can be made. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

They are perpendicular lines AB ⊥ CD ,

because the multiplying of their slopes = -1

Step-by-step explanation:

The rest of the question is the attached figure.

At first you should know that:

The slope of the line ⇒

The slope of the line AB:

The coordinates of A= (0,-1) and B= (5,3)

∴ The slope of the line AB= m₁  

The slope of the line CD:

The coordinates of C = (2,3) and D = (6,-2)

∴ The slope of the line CD= m₂ =

Multiplying m₁ and m₂ =

By definition, the multiplying of slopes of perpendicular lines = -1

So, The lines are perpendicular because the multiplying of their slopes = -1

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

here is a big fat