Would you rather read 12 pages every night in a chapter book with 144 pages or read 50 pages 3 times a week in a chapter book with 132 pages? Choose an option you would rather have and provide a mathematical justification as to why you made that choice.

Read 12 pages every night in a chapter book with 144 pages.

Thus the first option is the best because you will use fewer number of days to complete the reading.

Step-by-step explanation:

For the first option;

Read 12 pages every night in a chapter book with 144 pages, the number of days taken to complete the book will be;

144/12= 12 days

For the second option

50 pages = 3 times

132 pages = ? perform cross product

(132*3)/ 50 =7.92 ≈ 8 times

3 times = 1 week

8 times = ?

(8*1)/3 = 2.64 weeks

1 week =7 days

2.64 weeks=?

2.64*7 = 18.5 days

Thus the first option is the best because you will use fewer number of days to complete the reading.

sorry, i can't understand your question. will later if you describe more clearly!

: )

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.