Dis the centroid of △abc . what is the value of x when bd=2x+30 and bf=6x ?

The calculated value of x, using the information given is 15 units.

From the diagram given :

BD = BF

Equate the expressions thus:

2x + 30 = 2/3(6x)

2x + 30 = 4x

Collect like terms

2x - 4x = - 30

-2x = - 30

Divide both sides by - 2

x = 15

Hence, x = 15 units

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The value of x is

Step-by-step explanation:

we know that

The centroid is the point where all 3 medians intersect. The centroid divides each median in a ratio of 2:1

so

In this problem

see the attached figure to better understand the problem

we have

substitute the values

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation:

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)