10 years ago, the ratio of Jeremy's age to randy's age to Kadens's age was 4:3:1. The sum of their present age is 102. Find Randy's age now.

37

Step-by-step explanation: TEN years ago :       4+3+1  = 8              TEN years ago  (102-30) = 72        72/8 = 9  

     Randy was   3 * 9 = 27    ten years ago           now he is   37 y/o

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.