What is the value of x?
2x+20
3(x-10)

x = 50

Step-by-step explanation:

By the definition of vertical angles you can set these two equations equal to each other.

2x+20=3(x-10)

then, just simplify to get the correct answer by using order of operations.

2x+20=3x-30

x=50

8y^50

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