Answer: The number is 192
Step-by-step explanation:
9514 1404 393
Answer:
x = 2 m
y = 30°
Step-by-step explanation:
The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.
x = DF = 1/3(AB) = (1/3)(6 m)
x = 2 m
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Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.
y = ∠B = ∠E = 30°
y = 30°
(a) Fermat's little theorem states that for any prime 
, we have
for any integer 
. Then
so 7 does indeed divide 999,999.
(b) Generalizing, we have
for positive integer 
. Now, since 1 = 1001 - 1000 and 
, it follows that 
is its own inverse modulo 1001, i.e.
This means
which is what we wanted to show.
