Answer:
x = 7
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{LM}{QR}[/tex] = [tex]\frac{KN}{PS}[/tex] , substitute values
[tex]\frac{4x+4}{48}[/tex] = [tex]\frac{7x-9}{60}[/tex] ( cross- multiply )
48(7x - 9) = 60(4x + 4) ← divide both sides by 48
7x - 9 = 1.25(4x + 4) ← distribute parenthesis
7x - 9 = 5x + 5 ( subtract 5x from both sides )
2x - 9 = 5 ( add 9 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
