I had a look at the code, and you have not declared the RegExg object.
You need an import statement, and also a RegEx object; see the code below;
Imports System.Text.RegularExpressions
Public Class Form1
Private Sub ButtonGo_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles ButtonGo.Click
WebBrowser1.Navigate(TextBoxAddress.Text)
End Sub
Private Sub ButtonKillImages_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles ButtonKillImages.Click
Dim origHTML As String
origHTML = WebBrowser1.DocumentText
Dim newHTML As String
Dim regx As New Regex("<img.*/>")
newHTML = regx.Replace(origHTML, "")
WebBrowser1.DocumentText = newHTML
End Sub
End Class