Answer:
8
Step-by-step explanation:
Answer:
y = 140, x = 159
Step-by-step explanation:
Angle y:
we can find this angle by subtracting 40 from 180, 180-40 = 140 = y
Angle x:
Some measure of an angle plus angle b is equal to 180 degrees: 180-61 = 119
We can now find the measure of the third angle of the triangle: 180-(119+40) = 21
The third angle plus angle x is equal to 180: 180-21 = 159 = x
So Maurice would have 2N nickels
Total number of coins is N + 2N + 9 = 3N + 9
Each nickel is 5 pennies
3N of nickels = 15N pennies
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Their worth is 84 cents
15N + 9 = 84
15N = 75
N = 75/15 = 5
N = 5
This means Nina has 5 nickels.
Let b and s be the velocity of the boat and stream respectively....
3(b-s)=27
b-s=9
b=9+s we will use this in the second equation....
2(b+s)=30
b+s=15, now use b found above in this to get:
9+s+s=15
2s+9=15
2s=6
s=3, and since from earlier b-s=9, b=9+s so
b=12
So the speed of the boat is 12mph and the stream is 3 mph
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