In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm. Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.

What is NS?

5 cm
10 cm
20 cm
30 cm

NS= 20

Step-by-step explanation:

4x / 3x-5 (2/1)

4x / 6x-10

-6x -6x

-2x / -10

X / 5

X=5

NS= 4x

NS= 4(5)

NS= 20

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)