Which figures are polygons?

select each correct answer.

figure a

figure b

figure c

figure d

Figure a and b are both polygons with three or more sides

The correct options are

(1) Figure A.

(2) Figure B.

(3) Figure C.

Step-by-step explanation:  We are given to select the figures that are polygons.

POLYGON :  A polygon is a plane shape with straight sides having number of sides greater than or equal to three.

In Figure 1, there are three straight sides, so it is a polygon with three sides. We call it a TRIANGLE

In Figure 2, There are four straight sides, so it is a polygon with four sides. We call it a QUADRILATERAL.

In Figure 3, there are six straight sides, so it is a polygon with six sides. We call it a HEXAGON.

In Figure 4, there is no straight side, and hence the figure is NOT a polygon.

Thus, the correct Figures are A, B and C.

Options (1), (2) and (3) are correct.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

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