Question

If JKL ~ MKN, find the value of x.

Answer 1

Answer:

x = 14

Step-by-step explanation:

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer 2

The value of x given that JKL ~ MKN is; x= 14.

According to the question;

• JKL ~ MKN; In essence, both triangles are congruent.

Based on ratios; We can conclude that;

$\frac{12}{x + 1} = \frac{32}{3x - 2}$

By cross product, we have;

• 36x - 24 = 32x + 32.

• 4x = 56

x = 14.

Ultimately, the value of x given that JKL ~ MKN is; 14.

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