One lap around 5he school track is 3/8 miles. carin ran 31/2 laps. how far did she run?

Total distance is the distance per lap times the number of laps. (Note the units of "lap" cancel, leaving miles as the unit of the result.)

(3/8 mi/lap)×(3 1/2 lap) = (3/8)×(7/2) mi = 21/16 mi = 1 5/16 mi

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

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.