∠rut and ∠qru are supplementary. complete the proof that
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statement reason
1 ∠rut and ∠qru are supplementary given
2 m∠rut+m∠qru=180° definition of supplementary angles
3 m∠prq+m∠qru=180° angles forming a linear pair sum to 180°
4 m∠rut+m∠qru=m∠prq+m∠qru transitive property of equality
5 m∠rut=m∠prq algebra
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answer:

step-by-step explanation:

the first dot plot best represents the data

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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.