Answer:
The value of uw is 67
Step-by-step explanation:
Given that,
If uw= 6x-35...(I)
Line segment consists of points u,v,w
u to v is 19
v to w is 4x-20
We need to calculate the value of x
Using given data
[tex]uw=6x-35[/tex]
[tex]uv+vw=6x-35[/tex]
Put the value of u and w
[tex]19+4x-20=6x-35[/tex]
[tex]19+35-20=6x-4x[/tex]
[tex]34=2x[/tex]
[tex]x=\dfrac{34}{2}[/tex]
[tex]x=17[/tex]
We need to calculate the value of uw
Put the value of x in equation (I)
[tex]uw=6\times17-35[/tex]
[tex]uw=67[/tex]
Hence, The value of uw is 67
