Answer:
The expression (3n-2)(4n+1) can be factored with the Distributive Property. It cannot be factored with a Least Common Multiple (LCM), for instance, because the terms within each set of parentheses are completely simplified.
Step-by-step explanation:
Part I
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Good luck to you!
Triangles JFE and JLK are similar provided that line segments FE and LK are parallel. This means that corresponding parts of these triangles occur proportionally to one another. In particular,
From this relation we get
Now we can solve for 
:
Answer: The area of the hexagonal base is 96 square roots of 3.
The hexagon is divided into 6 congruent triangles. All we have to do is find the area of one of these shapes and multiply by 6.
The base of each triangle is 8 because the triangles are equilateral and one side is already given. The height is 4 square roots of 3 because it is a 30/6090 triangle.
To find the area, we multiply 8 x 4 square roots of 3 and divide by 2 to get 16 square roots of 3.
Multiply 16 by 6 and you get 96 square roots of 3.
