what is the value of x, given that PQ || BC? A. 10B. 5C. 7D. 8

Answer:Option B [tex]x=5\ units[/tex] Step-by-step explanation:we know thatIf PQ || BC, then triangles APQ and ABC are similarRemember thatIf two figures are similar, then the ratio of its corresponding sides is equal[tex]\frac{AP}{AB}=\frac{AQ}{AC}[/tex]substitute the values[tex]\frac{9}{18+9}=\frac{x}{10+x}[/tex]solve for x[tex]\frac{9}{27}=\frac{x}{10+x}\\ \\90+9x=27x\\ \\27x-9x=90\\ \\18x=90\\ \\x=5\ units[/tex]