Exercise 75 Page 530

Let's add the given side lengths to the diagram.

In any parallelogram, the diagonals bisect each other. Since a rhombus is a parallelogram, we know that DM≅ MG. Let's add this information to the diagram.

Therefore, we can set the expressions of DM and MG equal to each other. 4x-3= x+6 Let's solve this equation by calculating x.

To determine DG, we can use the Segment Addition Postulate.

By setting DG, equal to the sum of DM and MG and then substituting x=3 into the simplified expression, we can calculate DG.