Answer:
- 10) 57.6
- 11) 27.3
- 12) 12.75
- 13) 10
- 14) 14
- 15) 5
Explanation:
- If three or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
Using the above we find the value of x
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