Find the measure of the angle indicated

? = 65°

Step-by-step explanation:

180 - 115 = 65°   (115° and 65° are supplementary angles)

180 - 65 - 50 = 65°     (all triangle interior angles total 180°)

The angle at U is 65 degrees

Step-by-step explanation:

1. We know that a straight line is always 180 degrees..

2. We know that the total interior angle of a triangle is always 180 degrees...

With that in mind, we calculate:

First, we find the missing angle at T, (which is found to be 65 degrees), ( solveing for angle at T)

working out:

180= 115+ T

180- 115= 115-115+T

65. = 0 + T

65= T

Now knowing two angles in our triangle, we are now able to calculate the unknown angle ( angle U) using the two angles.

using our knowledge about interior angles of a triangle, we calculate:

180= angle T + anlge U + angle V

180= 65 + U + 50

180= 65+ 50 + U

180= 115 + U

180-115= 115-115 +U

65= 0 + U

65= U

Therefore, angle at U is 65 degrees...

"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:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!