Leo runs laps around a track. the table shows how long it takes him to run different numbers of laps. predict how long it will take leo to run 7 laps. number of laps 2, 4, 6, 8, 10 time (min) 10, 20, 30, 40, 50

Number of Laps 2, 4, 6, 8, 10  

Time (Min) 10, 20, 30, 40, 50

the laps and mins go up at a constant rate.

2-4 is a difference of 2, as they all are

10-20 is a difference of 10, as they all are.

for half way between 6 and 8 is 7 which would be half way between 30 and 40 which is 35 mins

so 7 laps is 35 mins (that's a big track!)

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.