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In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.



Which proportion would give you the distance between the penguins and the fish tanks?

(1 point)
Responses

3054=45x
30 over 54 is equal to 45 over x

3054=x45
30 over 54 is equal to x over 45

3045=x54
30 over 45 is equal to x over 54

5430=45x

1 answer

To find the correct proportion that relates the distances based on the paths mentioned, we will set up a proportion using the concept of similar triangles, where the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.

Given the similarity and the distance values:

  • Let \(d_1\) be the distance from the penguins to the fish tanks (unknown, represented as \(x\)).
  • Let \(d_2\) be the distance from the whales to the sharks (given as 30).
  • Assume the corresponding distance to be a reference length (given as 54).

Now we can set up the proportion:

\[ \frac{30}{54} = \frac{x}{45} \]

This proportion states that the ratio of the distances is equal.

Therefore, the correct response you are looking for is:

30 over 54 is equal to x over 45.

This corresponds to:

30/54 = x/45