Each new shaded triangle is half the size of the smallest shaded triangle in the previous step. If the pattern continues,

what percent of the square will be shaded in step 5?

step 1

step 2

step 3

A 96.9%

B 75.0%

C 87.5%

D 92.7%

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

inch

step-by-step explanation:

yard and mile are too big.