HELP PLEASE: Mr. Douglas trains a group of student athletes. He wants to know how they are improving in
the number of sit-ups they can do. The following dot plots show the number of sit-ups each
student was able to do last month and this month.
NUMBER OF SIT-UPS NUMBER OF SIT-UPS
LAST MONTH
THIS MONTH

By how much did the mean number of sit-ups increase from last month to this month?

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.