Answer:
first answer
Step-by-step explanation:
the first symbols mean : congruent.
the second symbols mean : parallel.
therefore answer option 1 is the direct translation of "if opposite sides of a quadrilateral are congruent, then it is a parallelogram" (= each of the 2 pairs of opposite sides consists of parallel sides).
To convert degrees to radians multiply degrees by pi/180.
So 90 degrees = 90pi/180 = pi/2 radians or 1.57 radians to the nearest hundredth.
Answer:
197.2 million
Step-by-step explanation:
The appropriate exponential equation for the population is ...
p(t) = 172.0e^(0.019t)
Then we can compute for t=7.2:
p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2
7.2 minutes from now, the population will be about 197.2 million.
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For continuous growth (or continuous compounding), the exponential formula is ...
f(t) = (value at t=0)×e^(rt)
where r is the growth rate in one unit of time, and t is the number of time periods.
Answer:
B) A dilation followed by a reflection
3 of our transformations are called isometries. These are transformations that preserve the size and shape of the original figure; they just change the position or orientation of it. Translations, reflections and rotations are all isometries. We know that isometries preserve congruence, since they maintain the size and shape of the original figure.
dilation changes the size of a figure. Since the new figure will not be the same size as the original, they will not be congruent.
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