Answer:
ZM = 8
WM = 12
XZ = 7
XN = 21
LZ = 20
Step-by-step explanation:
The centroid of a triangle is the point of intersection of the midpoint of the each of the three sides of a triangle. The centroid of a triangle is located inside the triangle and it is known as the center of gravity.
The centroid theorem for a triangle states that the centroid of a triangle is located at 2/3 of the distance from the vertex of the triangle of the middle of the opposite side.
ZM = (2/3)WM (centroid theorem)
Therefore: WZ = (1/3)WM
WM = 3WZ = 3 * 4 = 12
ZM = (2/3) * WM = 2/3 * 12 = 8
ZN = (2/3)XN (centroid theorem)
XN = (3/2)ZN = 3/2 * 14 = 21
XN = 21
XZ + ZN = XN
XZ + 14 = 21
XZ = 7
LZ = (2/3)LY (centroid theorem)
Therefore: ZY = (1/3)LY
LY = 3ZY = 3 * 10 = 30
LZ = (2/3) * LY = 2/3 * 30 = 20
Answer: -14, -17, and -20
Step-by-step explanation: Study the sequence.
Notice that each number is 3 less than the number before it.
In other words, -2 - 3 is -5, -5 - 3 is -8, and -8 - 3 is -11.
Now, if we continue with this same sequence,
-11 - 3 is -14, -14 - 3 is -17, and -17 - 3 is -20.
So the next three numbers are -14, -17, and -20.
2: terms/4w, -5, 6, 2x, 7, -19 coefficients/4w, 2x
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