Answer:
105.25 g
Step-by-step explanation:
The average weight is the sum of the weights divided by the number of pies.
(105 + 105 + 106 + 108 + 108 + 103.5 +102 +104.5) / 8
= 105.25
9+7=16 and 5+8=13
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2(x+3)= 3x-1
2x+6=3x-1
X=7
Therefore
YM = 7+3= 10
And by definition of midpoint YM=MZ so MZ=10
We know that
applying the law of cosines
a² = b²+ c²<span> – 2*b*c*cos(A)
cos (A)=[b</span>²+c²-a²]/[2*b*c]
in this problem
a=10
b=17
c=18
so
cos (A)=[17²+18²-10²]/[2*17*18]-----> cos (A)=0.8382
A=arc cos (0.8382)-----> A=33.05°-----> A=33°
the answer is
33 degrees
He drinks 0.75 liters of juice each day
or
6/8 liters of juice each day