Mathematics, 15.11.2020 06:00 mrsdeanwinchester18

Question 3: Quadrilateral A'B'C'E' is the image of quadrilateral ABCE after a dilation centered at point F. What is the scale factor of this dilation? Explain your work in at least 2 sentences.
C
6
B
C'
B 3
3
1.5
2.5 5
A
E
А
E

Question 3: Quadrilateral A'B'C'E' is the image of quadrilateral ABCE after a dilation centered

a

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Answer from: kyla322

Scale factor = 1/2 = 0.5

Explanation:

We have AB = 3 and A'B' = 1.5; the ratio between the two segment lengths is (A'B')/(AB) = (1.5)/(3) = 1/2 = 0.5

Similarly,

(B'C')/(BC) = (3)/(6) = 1/2 = 0.5(C'E')/(CE) = (2.5)/(5) = 1/2 = 0.5

You only need to pick one of these statements to be able to find the scale factor. The scale factor of 1/2 or 0.5 indicates that the image is half as small compared to the preimage. More specifically, each segment of the image is half as small compared to the corresponding segment on the preimage.

A'B' is half as small as ABB'C' is half as small as BCC'E' is half as small as CEA'E' is half as small as AE

We don't have numbers for AE and A'E', but the last statement above must be true because the dilation applies to all segment lengths.

Answer from: Quest

"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:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

Answer from: Quest

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

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