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Help I can't solve it right.

Help I Cant Solve It Right class=

Sagot :

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