Answer:
[tex]t = 5[/tex]
Step-by-step explanation:
By the mid-segment theorem of triangles,
[tex]VX= \frac{1}{2} YZ[/tex]
We substitute the expressions in terms of t.
[tex]10t = \frac{1}{2} (t + 95)[/tex]
We multiply through by 2 to get:
[tex]20t = t + 95[/tex]
Subtract t from both sides:
[tex]20t - t = 95[/tex]
[tex]19t = 95[/tex]
Divide both sides by 19:
[tex]t = \frac{95}{19} [/tex]
[tex]t = 5[/tex]
