Need

write an equation using the triangle sum theorem.

x = 29

Step-by-step explanation:

Note that the angle sum of a triangle adds to 180 degrees. So, this gives us a neat expression for x.

3(x + 2) + 35 + 52 = 180 (angle sum of a triangle)

3x + 6 + 35 + 52 = 180

3x + 93 = 180

3x = 87

x = 29.

europa2433

europa2433

step-by-step explanation:

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