Ames recorded the distance he ran each day: Monday - 2.05 miles

Tuesday - 1.8 miles

Wednesday - 1.45 miles

Thursday - 0.923 miles

Friday - 2.55 miles

What is the difference between his longest distance and shortest distance?

1.627 miles

Step-by-step explanation:

longest distance - 2.55 miles

shortest distance - 0.923 miles

difference = 2.55-0.923

=1.627 miles

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.