Question

Gina Wilson unit 6 homework 4

Answer 1

Answer:

• 10) 57.6
• 11) 27.3
• 12) 12.75
• 13) 10
• 14) 14
• 15) 5

Step-by-step 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