Answer:
m∠C = 122°
Step-by-step explanation:
Opposite angles of a quadrilateral inscribed in a circle are supplementary. This means
m∠A + m∠C = 180°
m∠B + m∠D = 180°
To find angle C we need to find x, then subtract m∠A from 180°
x+20=3x
20=2x
x=10
Now we substitute 10 in for x
m∠A=2(10)+38
m∠A=20+38
m∠A=58°
Now we subtract this value from 180.
m∠C=180-58
m∠C=122°
Let x represent the number of pounds of $10.75/lb coffee used in the mix.
.. 10.75x +3.25(100 -x) = 5.65*100 . . . . . . total cost of coffee blend
.. x(10.75 -3.25) = 100*(5.65 -3.25) . . . . . .separate x-terms from non-x terms
.. x = 240/7.5 = 32
32 pounds of $10.75/lb coffee should be used
68 pounds of $3.25/lb coffee should be used
It is 1000 because you multiple
if they run 46.93 in 1 second multiply that by 1.8
46.93 x 1.8 = 84.474 feet
round the answer as needed
The variance for this activity is mathematically given as
Var=0.026
<h3>What is the variance for this activity?</h3>
A data set's variance may be seen as a measurement of the spread that exists between the individual integers. When evaluating the asset allocation of a portfolio, investors employ an expression known as the variance equation.
After careful consideration of the table given in the question, we have that
Pessimistic time tp=2
optimistic time to=1
most likely time tm=1.5
Generally, the equation for variance is mathematically given as

Therefore

Var=0.026
In conclusion, the variance for this activity
Var=0.026
Read more about variance
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