Three groups of students used different methods to estimate the diagonal length of a patio in feet. Their results were:

• 4V13ft

14ft

• 14.33 ft

.

Which list shows these diagonal lengths in order from greatest to least?

A. 14.33, 14şft, 4/13ft

B. 14.33, 4V13 ft, 14 ft

C. 14 ft, 14.33, 4V13ft

D. 4/13ft, 14 ft, 14.33

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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