The size of a TV screen is its diagonal measure. A theater screen TV has a length to height ratio of 16:9. If a 60 inch TV is to fit inside an entertainment center, what size cutout is required so the TV will fit?

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

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.