There is a 30% chance that you will be elected president of the history club. there is a 20% chance that your friend will be elected treasurer of the history club. you use a random number generator to randomly generate 50 numbers from 0 to 99. the results are shown in the table below. the digits 1, 2, and 3 in the tens place represent you being elected president. the digits 1 and 2 in the ones place represent your friend being elected treasurer. what is the experimental probability that you are elected president and your friend is elected treasurer? write your answer as a fraction in simplest form.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

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.