Example Stem: A game has green and blue pieces. The ratio of
green game pieces to total pieces is 5:12.
Select all the statements that are correct about the game pieces.
A. The ratio of green pieces to blue pieces is 7:5.
B. The ratio of total pieces to blue pieces is 12:7,
C. There must be 7 more blue pieces than green pieces.
D. The ratio of total pieces to green pieces is 12:5.
D A
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Question 2 (1 point)

B and D are both true statements

Step-by-step explanation:

A is false. The ratio of green pieces to blue pieces is 7:5 is false as the statement tells us total is 12 when green is 5.  This means total is 12.

In the A. statement, it describes green pieces to blue pieces, where blue pieces are more than 5, its order in A states 5 last, meaning blue=5 and this is not true.

B is true. This speaks of the total pieces to blue pieces is 12:7 this is true as it speaks of total first = 12. where blue is also =7. This is true.

C is false. There must be 7 more blue pieces than green pieces this is false as there are two (2)more blue pieces than green, not 7.

D is true. The ratio of total pieces to green pieces is 12:5 is also true as there are 12 total and 5 green and it states this in same order within the statement showing the reverse of the statement in the question where green still is 5 and total is 12.

the answer is 15% decrease

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