Positive! I hope this helps!
Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)
Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8
Therefore, Peter hit 8 home runs and Alice hit 10 home runs.
We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to
.
Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.
Now we will plug given values in our formula,

Therefore, the measure of d is 121 degrees.
Each person would receive 1.5625 pounds of berries.
Answer:
32.5%
Step-by-step explanation:
His debt payments total $300 +350 = $650.
As a fraction of his income, that is ...
$650/$2000 = 325/1000 = 32.5/100 = 32.5%
Nicholas's debt to income ratio is 32.5%.