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How to combine basemaps with projected shapefiles?

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I am building a program in appdesigner and I need to process and visualise vector and raster data. As both of the data is projected I use the mapshow function. In the map I also need to show a basemap that will help the user to decide what action to take.
When looking into help I only saw the basemap being ploted using the geo coordinas.
My question is:
  1. How can I combine a basemap with a layer in projected cordinates.

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