Question

Help I can't solve it right.

Answer 1

x = 7

Explanation:

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

`(LM)/(QR)` =
`(KN)/(PS)` , substitute values

`(4x+4)/(48)` =
`(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