Michela's skateboard ramp is at an incline of 40°. When she attempts a trick on the ramp, she finds that it is too steep. She adjusts the ramp to half of the original incline. What is the measurement of the incline now?

20°

Step-by-step explanation:

The problem states that the ramp has an original incline of 40° so she needs to adjust it so it is half of the original incline, so we need to divide those 40° into 2 so we get:

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