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square, parallelogram, rectangle, rhombus

Step-by-step explanation:

Considering the answer choices:

Square

Regular pentagon

Parallelogram

Rectangle

Rhombus

It can't be a pentagon because it only has four sides.

Properties of the shapes:

Rectangle - quadrilateral with two sets of congruent opposite sides and four right angles.

Rhombus - quadrilateral with four congruent sides.

Square - quadrilaterals with all properties of rectangles and rhombi.

Parallelogram - rectangles, rhombi, and squares are parallelograms.

This shape satisfies the properties of a square, meaning it is also a rectangle, rhombus, and parallelogram.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is