Question

urgent please be my saint VX is a midsegment of △WYZ. If YZ=t+95 and VX=10t, what is the value of t?

Answer 1

`t = 5`

Explanation:

By the mid-segment theorem of triangles,

`VX= (1)/(2) YZ`

We substitute the expressions in terms of t.

`10t = (1)/(2) (t + 95)`

We multiply through by 2 to get:

`20t = t + 95`

Subtract t from both sides:

`20t - t = 95`

`19t = 95`

Divide both sides by 19:

`t = (95)/(19)`

`t = 5`