Questions: Get ready for congruence, similarity, and triangle trigonometry Which of the following points most closely represents √75 ? Choose 1 answer: (A) d (B) e (C) f

Get ready for congruence, similarity, and triangle trigonometry Which of the following points most closely represents √75 ? Choose 1 answer: (A) d (B) e (C) f
Transcript text: Get ready for congruence, similarity, and triangle trigonometry Which of the following points most closely represents $\sqrt{75}$ ? Choose 1 answer: (A) $d$ (B) $e$ (c) $f$
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Solution

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Solution Steps

Step 1: Calculate the Square Root

First, calculate the square root of 75. \[ \sqrt{75} \approx 8.66 \]

Step 2: Identify the Closest Point

Next, identify which point on the number line is closest to 8.66. The points given are:

  • \( d \approx 8.6 \)
  • \( e \approx 8.7 \)
  • \( f \approx 8.8 \)
Step 3: Compare Values

Compare the calculated value (8.66) with the given points:

  • \( d \approx 8.6 \)
  • \( e \approx 8.7 \)
  • \( f \approx 8.8 \)

The value 8.66 is closest to point \( e \).

Final Answer

The point that most closely represents \( \sqrt{75} \) is: \[ \boxed{e} \]

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