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dsp73
3 years ago
15

The figures below are similar. What is the missing side length?

Mathematics
1 answer:
Ivahew [28]3 years ago
4 0
I think that would be 2.5
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Answer:

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Step-by-step explanation:

We can work out some equations based on the given information:

We can call the boys A, B and C

so,

  • when all three boys are standing on the scale, it reads 170 pounds.

A + B + C = 170 - Eq(1)

  • when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.

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  • when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.

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So we already knew the weight of boy C. (it was in the question all along)

C = 60 pounds

<u>Now to find the individual weights of the remaining boys, we can work our way backwards</u><u> </u>

we can put this value back in Eq(2), to find the weight of boy B.

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B + 60 = 100

B = 100 - 60

B = 40

the

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A + B + C = 170

A + 40 + 60 = 170

A + 100 = 170

A = 170 - 100

A = 70

the weight of boy A (Adam) is A = 70 pounds

The Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

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