Number lines are used to represent points at regular interval.
The coordinate of point T on the number line is: 46.5
Given that:
[tex]A =5[/tex]
[tex]B = 50[/tex]
The coordinate of X at the midpoint is:
[tex]X = \frac{B + A}{2}[/tex]
So, we have:
[tex]X = \frac{50+5}{2}[/tex]
[tex]X = \frac{55}{2}[/tex]
[tex]X = 27.5[/tex]
Point T is at 2/3 from X to B.
The coordinate of T is calculated using:
[tex]T = X + \frac 23 (B - X + 1)[/tex]
So, we have:
[tex]T = 27.5 + \frac 23 (55 - 27.5 + 1)[/tex]
[tex]T = 27.5 + \frac 23 (28.5)[/tex]
[tex]T = 27.5 + 19[/tex]
[tex]T = 46.5[/tex]
Hence, T is located at 46.5
Read more about number lines at:
https://brainly.com/question/18611090
