Question

Point V lies between points U and W on Line segment U W. A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10. If UW = 9x – 9, what is UW in units?

Answer 1

Explanation:

Given : UW is a line segment and V lies on it . UV = 2x-4 , VW = 4x + 10 , UW = 9x-9

ATQ

UV + VW = UW

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

Divide the equation by 3

2x + 2 = 3x - 3

3+2 = 3x - 2x

5 = x

UW = 9x - 9

= 9(5) - 9

= 45 - 9

= 36 units