M is the centroid of △DEF. There is a triangle DEF in which J, K, and L are the points on the side DE, side EF, and side DF respectively. Segment DK, segment EL, and segment FJ intersect each other at point M. The length of DM is 8, the length of MJ is 2y, the length of EM is 6, and the length of FM is 2x. What is an expression for FJ? Select all that apply. A. 2x + 2y B. 3x C. 6y D. 3y

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Answer:

B

Step-by-step explanation:

The centroid of a triangle is the intersection point of the median of the triangle.

The expression for FJ is (a) 2x + 2y

From the triangle (see attachment), we have:

[tex]\mathbf{FJ = FM + MJ}[/tex]

Where:

FM = 2x

MJ = 2y

So, we have:

[tex]\mathbf{FJ = 2x + 2y}[/tex]

Hence, the expression for FJ is (a) 2x + 2y

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