Find the value of x

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What is the root ?!

9514 1404 393

  x = √70

Step-by-step explanation:

The right triangles are all similar, so we can write the ratio of long side to hypotenuse as ...

  x/(7+3) = 7/x

  x^2 = 7(10) = 70

  x = √70

Additional comments

This is called a "geometric mean", where x is the square root of the product of two numbers, 7 and 10. Those happen to be the lengths of the adjacent segment of the hypotenuse and the whole hypotenuse.

The same relation holds for BC:

  BC = √(CD·CA)

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A slightly different geometric mean relation holds for the altitude BD:

  BD = √(DC·DA)

step-by-step explanation: a reaction is first order. if the initial reactant concentration is 0.0200 m, and 25.0 days later the concentration is 6.25 x 10-4 m, then its half-life is: