Andre received $60 for his birthday and put it in his piggy bank. each week, he puts 3 more dollars in his bank. the amount of money in dollars d in his bank is given by d = 3w + 60, where w is the number of weeks he has saved 3 dollars. his sister lana makes a table of reasonable values for w. lana selects 12 as a value for w. what is the corresponding table entry for d? a. 372 b. 96 c. 75 d. 64

96 → B

substitute w = 12 into the equation D = 3w + 60

D = (3 × 12 ) + 60 = 36 + 60 = 96

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.