A young mother is attempting to clean the house while her 2 children, ages 5 and 2, play in the living room. The older child begins feeding lego bricks to the younger at a constant rate. Below is a chart of how many bricks remain yet to be consumed after a given number of minutes. Time (minutes): 4 6 11 17

Bricks remaining: 75 69 54 36

How many lego bricks were there before the un-attentive mother began cleaning?

87

Step-by-step explanation:

f(x) = ax + b

f(4) = 75 => 4a+b = 75

f(6) =69 => 6a+b = 69

-

-2a = 6

a = 6/-2 = -3

4a + b = 75

4(-3) +b=75

-12+b = 75

b = 75+12

b = 87

the number of lego bricks before the mother began cleaning = 87

11 feet 6 inches and 8 feet 6 inches

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.