Answer:
Step-by-step explanation:
Suppose we have a general triangle like the one shown in the figure.
We know the angle A, the angle B and the length b.

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.
So

We solve the equation and thus we find the angle C.

We already know the three triangle angles.
Now we use the sine theorem to calculate the sides c and a.
The sine theorem says that:

Then



Also



Finally, we use the Heron formula to calculate the triangle area

Where s is:

Therefore



The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)
Pounds of ice = 20
Number of cups = 30
The relation for the distributive property :
a × (b + c)
Expand ;
a × (b + c) = (a × b) + (a × c) = ab + ac
Finding the greatest common factor of 20 and 30 ;
(2 × 10) + (3 × 10)
According to the distributive property
(2 × 10) + (3 × 10) = 10(2 + 3)
Therefore, the expression for the greatest common factor is 10(2 + 3)
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