Which of the following statements must be true about this diagram ? check all that apply

we know that

1) The sum of the internal angles in a triangle is equal to

so

---------> equation

2) The sum of the angle z and angle W is equal to by supplementary angles

so

---------> equation

Statements

case A.

This statement  is true

Because

so

case B.

This statement  is true

Because

so

case C. ---------> equation

This statement is False

Because

we know that

substitute the value of w in the equation

--------> equation

equate equation and equation

---------> not necessarily must be true

case D. --------> equation

This statement is False

Because

remember equation

 --------> equation

equate equation and equation

---------> is not true

case E. ---------> equation

This statement is True

Because

equation

--------> equation

remember

substitute the value of w in the equation

case F.

This statement  is False

Because

so

---------> not necessarily must be true

21

step-by-step explanation:

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.