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a. Line BC and Line GH

b. Line AC and line AJ

c. No, because if they were perpendicular, they would intersect at a 90 degree angle.

Step-by-step explanation:

a. Whenever two lines share identical little triangle marks - such as line BC and line GH in this case - it indicates that those lines are parallel.  

b. The little red square at the intersection of line AC and line AJ indicates a 90 degree angle. Whenever two lines intersect at a 90 degree angle, it means they are perpendicular. So, Line AC and line AJ would be perpendicular.

c. The upside down T symbol means "perpendicular," so the question is asking if line BC and line AJ are perpendicular. However, they cannot be since there is no indication on the diagram that they do - no symbols of 90 degree angles - that we can use to prove that they are perpendicular.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

3; 9 is 8 to -4

step-by-step explanation: