In The figure below ABCD is a square points are chosen on each pair of the adjacent sides of ABCD to form four congruent and right angles as shown below each of these has one leg that is twice as long as the other leg what fraction of the area of square ABCD is shaded?

9514 1404 393

  5/9

Step-by-step explanation:

The area of one triangle is ...

  A = 1/2(x)(2x) = x²

Then the area of the four triangles is ...

  unshaded area = 4(x²)

The length of DC is 2x+x = 3x, so the area of ABCD is ...

  total area = (3x)² = 9x²

Then the fraction that is shaded is ...

  (9x² -4x²)/(9x²) = 5/9

5/9 of the area of ABCD is shaded.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

dont trust me im no expert these losers made me fail a test bro this sucks

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