Which angles form a linear pair?

- prl and lrm
- orp and mrn
- mrn and nro
- lrp and orp

A linear pair of angles has a common side, and the vertex is on the line designated by the points denoting the non-common sides.

Consider the first choice:

... the common sided is RL, and the other two points are P and M. Point R (the vertex of the angles) is not on line PM. (In fact, line PM is not shown on the diagram.)

In the second choice, the given angles do not have a common side. (They are actually "vertical" angles.)

In the 3rd choice, the common side is RN, and vertex point R is found on line MO. These angles are a linear pair:

... - MRN and NRO

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.

(3x-8) or (3x+8)

step-by-step explanation: