Answer:
Part a) 
Part b) 
Part c) 
Part d) 
Part e) 
Step-by-step explanation:
we know that
The centroid of a triangle is the point where the three median.s coincide.
The centroid is located two thirds of the distance from any vertex of the triangle.
step 1
<em>Find the value of A.F.</em>
we know that

we have

substitute

Solve for A.F.


step 2
<em>Find the value of G.F.</em>

substitute the value of A.F

step 3
<em>Find the value of F.C. </em>
Remember that a median of a triangle is a line segment from one vertex to the mid-point on the opposite side of the triangle
so

we have

substitute


step 4
<em>Find the value of D.B.</em>

we have

substitute


step 5
<em>Find the value of G.B</em>

substitute the value of D.B.


Answer:
- 10) 57.6
- 11) 27.3
- 12) 12.75
- 13) 10
- 14) 14
- 15) 5
Step-by-step explanation:
- <em>If three or more parallel lines are cut by two transversals, then they divide the transversals proportionally.</em>
<u>Using the above we find the value of x</u>
10.
- x/48 = 30/25
- x/48 = 6/5
- x = 48*1.2
- x = 57.6
11.
- x/ (49 - 28) = 36.4/28
- x/21 = 9.1/7
- x = 21*9.1/7
- x = 27.3
12.
- (2x + 6)/36 = 52.5/60
- (x + 3)/18 = 7/8
- x + 3 = 18*7/8
- x + 3 = 15.75
- x = 12.75
13.
- (x - 3)/21 = (x - 1)/27
- 9(x - 3) = 7(x - 1)
- 9x - 27 = 7x - 7
- 9x - 7x = 27 - 7
- 2x = 20
- x = 10
14.
- (2x + 5)/22 = (x + 10)/16
- 8(2x + 5) = 11(x + 10)
- 16x + 40 = 11x + 110
- 16x - 11x = 110 - 40
- 5x = 70
- x = 14
15.
- (7x - 11)/(4x - 2) = 20/(35 - 20)
- (7x - 11)/(4x - 2) = 4/3
- 3(7x - 11) = 4(4x - 2)
- 21x - 33 = 16x - 8
- 21x - 16x = 33 - 8
- 5x = 25
- x = 5
Answer:
She can get one 1/2 jug of orange juice
Step-by-step explanation:
1/2 = 4/8
7/8 - 4/8 = 3/8
3/8 is less than 1/2 so she can only get one 1/2.