St hexagon is dilated to form the second hexagon.

Select answers from the drop-down menus to correctly complete the statements.

The scale factor is

.

This represents

Solution:

We are given a hexagon which is dilated to form the second hexagon.

The size of the original hexagon is 5 units and the size of the dilated hexagon is 6.25 units

Let "c" be the scale factor

Then, we can say,

original hexagon is dilated by a scale factor "c" to get the dilated hexagon

Thus the scale factor is 1.25

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