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.
Answer:
74
Step-by-step explanation:
Average is the sum of all the numbers divided by the number of numbers.
We will take average of Quizzes, Homeworks, and Tests. And multiply that by respective weights and find the weighted average of the 90%.
Quiz Avg:
(84+90+72)/3 = 82
Homework Avg:
(80 + 100 + 90)/3 = 90
Test Avg:
(64+72)/2 = 68
Now, weighted avg =
Rounding it off, we get "74", the correct answer.