The answer to the problem is B.
Answer:
The area of parallelogram ABCD is
Explanation:
Given:
AD = 12 in


To Find:
The area of parallelogram ABCD=?
Solution:
When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.
The area of the parallelogram can be calculated by 
Substituting the value of a=12 we have

<u>To find the value of b,
</u>
We know that area of a triangle can be expressed as,

So,

Cancelling BD and 2 on both sides we get,


Therefore,

Substituting the value of b,

=78.42
So the area of the parallelogram is
Vertical angles are equal
4x = 45 + 15
4x = 60
x = 60/4
x = 15
<h3>
Answer: 82</h3>
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Explanation:
Let A be the tens digit and B be the units digit
We can write the number as AB. So if A = 9 and B = 2 for instance, then the number is AB = 92. Keep in mind I'm not multiplying A and B here.
"The unit digit is a prime" means B could be any of these values {2,3,5,7}. We only list the single digit primes. The value 1 is not prime.
Now multiply each of those items by 4
4*2 = 8
4*3 = 12
4*5 = 20
4*7 = 28
Of those results, only 4*2 = 8 leads to a single digit answer.
This must mean that A = 8 and B = 2
Therefore the number is AB = 82.