  Recent discoveries of charge order and electronic nematic order in the
iron-based superconductors and cuprates have pointed towards the possibility of
nematic and charge fluctuations playing a role in the enhancement of
superconductivity. The Ba1-xSrxNi2As2 system, closely related in structure to
the BaFe2As2 system, has recently been shown to exhibit both types of ordering
without the presence of any magnetic order. We report single crystal X-ray
diffraction, resistance transport measurements, and magnetization of \BaSrLate,
providing evidence that the previously reported incommensurate charge order
with wavevector $(0,0.28,0)_{tet}$ in the tetragonal state of \BaNi~vanishes by
this concentration of Sr substitution together with nematic order. Our
measurements suggest that the nematic and incommensurate charge orders are
closely tied in the tetragonal state, and show that the $(0,0.33,0)_{tri}$
charge ordering in the triclinic phase of BaNi2As2 evolves to become
$(0,0.5,0)_{tri}$ charge ordering at $x$=0.65 before vanishing at $x$=0.71.
