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IgorC [24]
3 years ago
6

Chris Christina collects stamps she is 47 stamps and all she has 20 from Europe the number of African stamps is 2 times the numb

er of Asian stamps how many Stamps from each of these three colors does she have using reasoning to write this numerical expression show work​
Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Let x represent the number of stamps from Europe.

Let y represent the number of stamps from Africa.

Let z represent the number of stamps from Asia.

She has 47 stamps in all. This means that

x + y + z = 47 - - - - - - - - - - - 1

The number of African stamps is 2 times the number of Asian stamps. This means that

y = 2z

She has 20 stamps from Europe. Therefore, substituting x = 20 and y = 2z into equation 1, it becomes

20 + 2z + z = 47

3z = 47 - 20 = 27

z = 27/3 = 9

y = 2z = 2 × 9

y = 18

She has 20 stamps from Europe, 18 stamps from Africa and 9 stamps Asia.

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Answer:

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Step-by-step explanation:

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These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.

Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:

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The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:

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frosja888 [35]

Answer:

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Step-by-step explanation:

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