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pav-90 [236]
3 years ago
7

Please help me with this geometry problem, I'd really appreciate it :)

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

Hello from MrBillDoesMath!

Answer:

x = 31


Discussion:

angle A + angle C + angle B = 180              (180 degrees in a triangle)

angle A + 57           +  61        = 180 =>         (substitution)

angle A + 118 = 180 =>

angle A = 180 -118 = 62


By the congruence statement, angle A = angle D = 2x so

62 = 2x =>

x = 31



Thank you,

MrB

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0.4 lbs each.

<h3>Further explanation</h3>

<u>Given: </u>

  • The total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib.
  • The weight of the bag of sugar is 1.4 Ib

<u>Question: </u>

What is the weight of each piece of butter?

<u>The Process: </u>

The two steps for obtaining the weight of each piece of butter are as follows:

<u>Step-1:</u> the total amount of butter is the total bag of butter and sugar subtracted by the weight of the bag of sugar.

\boxed{ \ 3.8 \ lbs - 1.4 \ lbs = 2.4 \ lbs \ }

<u>Step-2:</u> the total amount of butter divided by the number of pieces of butter is the the weight of each piece of butter.

\boxed{ \ 2.4 \ lbs \div 6 \ pieces = \boxed{ \ 0.4 \ lbs/piece \ } \ }

Let's also consider the following quick steps.

<u>Quick steps: </u>

\boxed{ \ \frac{(3.8 - 1.4) \ lbs}{6 \ pieces} = \boxed{ \ 0.4 \ lbs/piece \ } \ }

Therefore, the weight of each piece of butter is 0.4 lbs.

<h3>Learn more </h3>
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Keyword: the total weight, 6 pieces of butter, a bag of sugar is 3.8 Ib, if the weight of the bag of sugar is 1.4 Ib, each piece, subtracted, divide

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