In triangle ACE, G is the centroid and BE = 18. Find BG and GE. a BG=12, GE=6
b BG=4 1/2, GE=13 1/2
c BG=6, GE=12
d BG=9 GE=9

Choice C)  BG = 6, GE = 12

Explanation:

The centroid G cuts the median segment BE such that BG is 1/3 of BE, and GE is 2/3 of BE.

So,

BG = (1/3)*BE = (1/3)*18 = 6

GE = (2/3)*BE = (2/3)*18 = 12

Put another way: GE is twice as long as BG

Let x = BG. This means 2x = GE

Leading to

BG+GE = BE

x+2x = 18

3x = 18

x = 18/3

x = 6 = BG

2x = 2*6 = 12 = GE

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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