The smith family went out to dinner. their bill came to $67.80. if they left a 15% tip and used a $100 gift card to pay for the bill, including the tip, what is the remaining balance on the card?

$22.03

Step-by-step explanation: 15% 67.8= 10.17. 67.8+10.17=77.97. x=remain balance. x=100.00-77.97=22.03.

geometry: triangles

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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

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: