Answer:
x = 6
Step-by-step explanation:
The scale factor of the image is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{Q'R'}{QR}[/tex] = [tex]\frac{15}{9}[/tex] = [tex]\frac{5}{3}[/tex]
Then
[tex]\frac{P'R'}{PR}[/tex] = [tex]\frac{5}{3}[/tex] ( substitute values )
[tex]\frac{10}{x}[/tex] = [tex]\frac{5}{3}[/tex] ( cross multiply )
5x = 3 × 10 = 30 ( divide both sides by 5 )
x = [tex]\frac{30}{5}[/tex]
x = 6
