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Step-by-step explanation:

1. The inverse function is a reflection of the function across the line y=x. Since the function is already symmetric about that line, the inverse function is the same as the function.

The domain is the horizontal extent of the graph. The function is defined everywhere except at x=0.5, so that value is excluded from the domain. Since the function is its own inverse, that value is also excluded from the range.

  Domain and Range (of the function and its inverse): all real numbers except 0.5

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2. The domain and range of any linear function is all real numbers. The inverse function of a linear function is also a linear function.

  Domain and range (of the function and its inverse): all real numbers.

The inverse function is the reflection of the line across the line y=x. That is, its graph will go through (-5, -5) and (5, 0). The corresponding equation is ...

  y = 1/2x -2.5

This graphs as a line from the lower left corner to the middle of the right side of the graph shown. In the attachment, the inverse function is the blue line.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

"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: