Write the linear inequality shown in the graph. the gray area represents the shaded region.

ANSWER

EXPLANATION

The equation of the boundary line is

Hence the inequality is either

or

We test the origin to get determine which one represents the shaded

We substitute (0,0) into the first inequality to get;

This implies that,

Hence the correct answer is

Second Option

Step-by-step explanation:

The region is bounded by a line of negative slope that cuts the y-axis at the point y = 4 and cuts the x-axis at the point x = 4.

So the equation of this line is

If the region is composed of all the points that lie below the line y = -x + 4 then it means that the region is formed by all the values of y less than or equal to the line .

Therefore the inequation is:

Second Option

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180