1.Dakota bought 1.7 pounds of ham, 3.15 pounds of onions, and 6 cans of soup. What was the total cost before sales tax? Round
your answer to the nearest cent.
2.The sales tax for the food Dakota bought is $0.79. He has a coupon for $1.85 off any purchase. Use your answer for 15 to find the final amount Dakota needs to pay.
2.The sales tax for the food Dakota bought is $0.79. He has a coupon for $1.85 off any purchase. Use your answer for 15 to find the final amount Dakota needs to pay.
1 answer:
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<h3>Answer: </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>
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Explanation:
Focus on triangle ABC. Let's find the missing angle
A+B+C = 180
113+B+22 = 180
B+135 = 180
B = 180-135
B = 45
Between the triangles, have two pairs of angles that are congruent
A = D = 113
B = E = 45
Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22
Since we have A pair with D, and B pair with E, this means that
The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.
Consequently, this means sides BC and EF pair up and AC and DF pair up
We can then say...
BC/EF = AC/DF
18/12 = x/4
18*4 = 12*x
72 = 12x
12x = 72
x = 72/12
x = 6
AC = 6