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A decagon has 10 sides.

The sum of the interior angles is found using the formula S = (n-2)*180, where n is the number of sides.

The total sum of the interior angles of a decagon would be:

(10-2) *180 = 8 * 180 = 1440 degrees.

Now to find the measure of each interior angle, divide the total sum by the number of sides:

1440 / 10 = 144

Each angle is 144 degrees.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

the first one, all those points on the line just make a strait line.