Search 82,994 tutors
FIND TUTORS
Ask a question
0 0

Midpoint of u

Tutors, please sign in to answer this question.

2 Answers

 
TV = 3x+9 - (14+2x)
TV = 3x + 9 -14 - 2x
TV =  x - 5 
 
U = ((3x + 9) + (14 + 2x)) / 2 
U = (5x + 23) / 2
 
TU = (2(3x + 9) / 2) - (5x+23)/2 
 
TU = (6x + 18 - 5x -23) /2 
 
TU = (x - 5) / 2
 
 
Since U is the midpt, UV = TU, so UV = (x-5) / 2
 
TU + UV = TV 
 
(x-5) / 2 + (x-5) /2 = 2 (x-5) /2 = x-5 = TV
 
 
 
Use a number for x.  Let's use 10.
 
T is 39, V = 34
U = (39 + 34)/2 = 73/2 = 36.5
 
TV = 39-34 = 5
TV from our equation is x-5.  10 - 5 = 5.   Good.
 
 
TU and UV = (x-5) / 2.   (10-5) /2 = 5/2.
(39-34)/2 = 5/2   Good.