Answer:
[tex]s = 76[/tex]
Step-by-step explanation:
Given
[tex]TU=s[/tex]
[tex]VX = s -38[/tex]
See attachment for triangle
Required
Solve for s
From the triangle, we have:
[tex]\triangle UTW[/tex] similar to [tex]\triangle XVW[/tex]
Such that
[tex]TW = 2 XW[/tex]
[tex]UW = 2 VW[/tex]
This implies that:
[tex]TU = 2 VX[/tex]
Substitute: [tex]TU=s[/tex] and [tex]VX = s -38[/tex]
[tex]s = 2 * [s - 38][/tex]
[tex]s = 2 s - 76[/tex]
Collect like terms
[tex]s - 2 s =- 76[/tex]
[tex]-s =- 76[/tex]
Divide by -1
[tex]s = 76[/tex]
