Ariel and Ellen each want to run for president of their school's student body council. In order to do so, they must collect a certain number of signatures and get a nomination. So far, Ariel
has 14 signatures, and Ellen has 13. Ariel is collecting signatures at an average rate of 1 per
day, whereas Ellen is averaging 2 signatures every day. Assuming that their rate of collection
stays the same, eventually the two will have collected the same number of signatures. How
many signatures will they both have? How long will that take?

the answer is 31.27mph

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.

step-by-step explanation: hi!