Question

Help I can't solve it right.

Answer 1

Answer:

x = 7

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion , that is

$\frac{LM}{QR}$ = $\frac{KN}{PS}$ , substitute values

$\frac{4x+4}{48}$ = $\frac{7x-9}{60}$ ( 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