What is Bethany's score on the test if she got 23 out of 30 right? (Round to the nearest whole number.)

77%

Step-by-step explanation:

30 was 100%

23 is  x%

x=23*100/30 = 76.666.. rounded to 77%

geometry: triangles

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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