ΔDCQ and ΔDRB are similar triangles thus the corresponding sides of the triangles have the same proportion.
Make a comparison of the corresponding sides [tex] \frac{DC}{DR}= \frac{DQ}{DB} [/tex]
plug in the numbers to the comparison above [tex] \frac{DC}{DR}= \frac{DQ}{DB} [/tex] [tex]\frac{x}{x+18}= \frac{39}{39 + 26}[/tex]
simplify the equation [tex]\frac{x}{x+18}= \frac{39}{39 + 26}[/tex] [tex] \frac{x}{x+18}= \frac{39}{65} [/tex] simplify 39 and 65 by dividing them by 13 [tex] \frac{x}{x+18}= \frac{3}{5} [/tex]
Do cross multiplication [tex] \frac{x}{x+18}= \frac{3}{5} [/tex] [tex]5x=3(x+18)[/tex]
Solve the equation 5x = 3(x + 18) 5x = 3x + 54 5x - 3x = 54 2x = 54 x = 54/2 x = 27
