Question

T is the midpoint of MV. If MT = 6x and TV = 3x + 3, find the value of x, MT, TV, and MV.

Answer 1

Answer:

x=1

MT = 6

TV= 6

MV = 12

Step-by-step explanation:

M------T------V

6x 3x+3

6 6

Answer 2

Answer:

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.  

 

 

TU and UV = (x-5) / 2.   (10-5) /2 = 5/2.

(39-34)/2 = 5/2