Answer:
[tex]x=9\ units[/tex]
Step-by-step explanation:
we know that
Triangles BDR and QDC are similar by SAS Similarity Theorem
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
[tex]\frac{BD}{QD}=\frac{RD}{CD}[/tex]
substitute the given values
[tex]\frac{64}{24}=\frac{15+x}{x}\\ \\ 64x=24(15+x)\\ \\ 64x=360+24x\\ \\ 64x-24x=360\\ \\ 40x=360\\ \\ x=9\ units[/tex]
