A scale drawing of a rectangular object has a scale of 1 in. : 3 ft. The scale drawing has a length of 5 inches. What is the act
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Given:
Point G is the centroid of triangle ABC.
FG = x + 8 and AG = 6x - 4
To find:
The value of the variable x.
Solution:
Using rule of centroid:
Multiply by 3 on both sides, we get
⇒ 3(6x - 4) = 2(7x + 4)
⇒ 18x - 12 = 14x + 8
Subtract 14x from both sides.
⇒ 4x - 12 = 8
Add 12 on both sides.
⇒ 4x = 20
Divide by 4 on both sides.
⇒ x = 5
The value of x is 5.