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which of the numbers below is closest to the value of $x$?$x$1420$\bigc…

Question

which of the numbers below is closest to the value of $x$?$x$1420$\bigcirc$ 6$\bigcirc$ 204$\bigcirc$ 24.4$\bigcirc$ 14.3

Explanation:

Step1: Apply Pythagorean theorem

$$x^2 + 14^2 = 20^2$$

Step2: Calculate squared values

$$x^2 + 196 = 400$$

Step3: Isolate $x^2$

$$x^2 = 400 - 196 = 204$$

Step4: Solve for $x$

$$x = \sqrt{204} \approx 14.28$$

Answer:

14.3