Which ray is a bisector of angle A B C? Select one:
A. stack B C with rightwards arrow on top
B. stack B D with rightwards arrow on top
C. stack B A with rightwards arrow on top
D. stack B F with rightwards arrow on top

What is GH?

Select one:
A. 5
B. 10
C. 15
D. 25

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Explanations:

Use a marker/pen of a different color to highlight angle ABC so its easier to see. Check out the diagram below. The only ray in the interior of this angle is ray BD.  The bisector must always be in the interior. The angle markers for angle ABD and DBC are the same indicating they are the same measure; therefore, ray BD bisects angle ABC.

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Segments IG and GH are the same length because they share the same single tickmark. Their lengths are shown as 3x and 5x-10. Set the algebraic expressions equal to one another. Solve for x. Then use this x value to find GH

IG = GH

3x = 5x-10

3x-5x = -10

-2x = -10

x = -10/(-2)

x = 5

GH = 5x-10

GH = 5*5-10

GH = 25-10

GH = 15

note that IG = 3x = 3*5 = 15 as well

step-by-step explanation:

which of the following statements correctly describes the expression below based on its degree and number of terms?

314 - 7x2 + 11

"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: