3 years ago

If the price showing on the pump is 3.799,what is the price per gallon to the nearest cent?

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Answer:

3.80

Step-by-step explanation:

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The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a par

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Step-by-step explanation:

Given

See attachment for the required figure

Solving (a): The similar triangles

The similar triangles are $\triangle BPE$ and $\triangle BCG$

Solving (b): Why they are similar

Both triangles are similar because $\triangle BCG$ is dilated (i.e. enlarged) and then reflected to give $\triangle BPE$ .

Solving (c): Calculate BE and PE

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$BP: BC = BE : BG$

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$BP: BC = BE : BG$

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$\frac{250}{350} = \frac{BE}{450}$

Multiply both sides by 450

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$BP: BC = PE : CG$

Substitute known values

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$\frac{250}{350} = \frac{PE}{400}$

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