What is the value of -6+3-3(-18) ? (Need ASAP with steps!)

1 answer:

6 0

-6+3-3(-18)

Okay.

Work from left to right.
-6 plus 3 equals -3.
(Think of it as in a number line, from the spot of -6, move right three units. This will give you -3. Anyways..)

Now you have -3-3
The result is -6.

-6(-18)
Negative six times negative eighteen equals positive 108.

The answer is 108.
(Sorry for the long reply)

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If Z is the centroid of ∆LMN,WZ=4,ZN=14, and ZY = 10, find each missing measure

jeyben [28]

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