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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 3045=x54 30 over 45 is equal to x over 54 3054=x45 30 over 54 is equal to x over 45 5430=45x 54 over 30 is equal to 45 over x Skip to navigation

1 answer

To find the correct proportion that gives the distance between the penguins and the fish tanks, we need to set up a proportion based on the information provided about parallel paths.

From your description, we know that:

  • Let \( d_1 \) be the distance from whales to sharks, and let \( d_2 \) be the distance from penguins to fish tanks.
  • We also have two corresponding segments that are related to these paths.

Given the proportions, we want to match the distances and their proportions accordingly.

From your responses, we can analyze them:

  1. 3054 = 45x
  2. 30 / 54 = 45 / x
  3. 3045 = x54
  4. 30 / 45 = x / 54
  5. 3054 = x45
  6. 30 / 54 = x / 45
  7. 5430 = 45x
  8. 54 / 30 = 45 / x

The fraction that most directly mirrors possible distances based on similar triangles due to parallel lines should follow the format of matching lengths.

The proportion that matches the idea that the ratios of corresponding distances are equal would typically be in the form \( a/b = c/d \).

  • The option 30 / 54 = 45 / x corresponds the distance (30) from penguins to fish tanks with (54) and the proportional distance (45).

Thus, the correct proportion that provides the distance between the penguins and the fish tanks is:

30 / 54 = 45 / x

This can be solved to find the distance \( x \).