Answer:
In your question where Ben uses a compass and straight edge to construct angle DEF equals to angle ABC as shown in the diagram. In my calculation the possible answer to the following questions is angle DEF is equals to angle ABC when JK is constructed equals to HI.
Step-by-step explanation:
Hope I <u><em>Helped!</em></u> :D
Answer:
Step-by-step explanation:
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They already give you the number of boys {14}, so all you need to do is subtract 30 - 14 which will give you the ratio of girls.
It does this because 14 takes up 
of the seventh grade class.
So your answer is going to be 14:16 un-simplified.
However, since they ask you to put it in the simplest terms, we are going to simplify 
You can do this by dividing both numbers by 2.
= 
or 
Answer:
A) f'(t) is negative
B) degc/min
c ) At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
Step-by-step explanation:
A ) f'(t) is Negative because as the cup of coffee is placed on the counter there is loss of heat from the cup of coffee to the surrounding as t increases hence f'(t) is negative
B ) The units of f'(20) = degc/min
C) At ║f'(20)║ = 1.5 and f'(20) = 56
║f'(20)║ = 1.5 represents the rate of change of temp every 20 minutes = 1.5
therefore after 45 seconds = 3/4 mins. change in temp = (3/4 * 1.5) = 1.125
At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
