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harina [27]
2 years ago
8

IF Triangle DEF JKL, find KL.

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
3 0

Answer:

b

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{KL}{EF} = \frac{JK}{DE} , substitute values

\frac{6x+3}{x+11} = \frac{25}{10} ( cross- multiply )

10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides

60x + 30 = 25x + 275 ( subtract 25x from both sides )

35x + 30 = 275 ( subtract 30 from both sides )

35x = 245 ( divide both sides by 35 )

x = 7

Then

KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b

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