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Use the table to answer the question.

Block Length Width
A 23 115
B 46 230
C 460 52
Which blocks have proportional length-to-width ratios?

(1 point)
Responses

Block B and Block C
Block B and Block C

Block A and Block C
Block A and Block C

Block A and Block B
Block A and Block B

None of the blocks have proportional dimensions.

1 answer

To determine which blocks have proportional length-to-width ratios, we need to calculate the length-to-width ratio for each block.

For Block A:

  • Length = 23
  • Width = 115
  • Ratio = 23 / 115 = 0.2

For Block B:

  • Length = 46
  • Width = 230
  • Ratio = 46 / 230 = 0.2

For Block C:

  • Length = 460
  • Width = 52
  • Ratio = 460 / 52 = 8.846153846 (approximately)

Now that we have the ratios:

  • Block A ratio: 0.2
  • Block B ratio: 0.2
  • Block C ratio: 8.846 (approximately)

Blocks A and B have the same ratio (0.2), while Block C has a different ratio.

Thus, the correct response is: Block A and Block B.