Question

Which value of x would make NO IKI
?
K
(x + 2) in
o 1
N
(x - 3) in
06
o 8
x-4) in 0
x in
o 10
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Answer 1

Answer:

$\boxed{x = 8}$

Step-by-step explanation:

For NO ║ KJ, The two triangles must be similar and their sides must be proportional.

So, the proportion of their sides is:

=> $\frac{x-4}{x} = \frac{x-3}{x+2}$

Cross Multiplying

$\sf x (x-3)= (x-4)(x+2)\\Multiplying\\x^2-3x = x^2+2x-4x-8\\x^2-3x = x^2-2x-8\\Subtracting\ x^2\ to \ both \ sides\\ -3x = -2x -8\\Adding \ 2x\ to\ both\ sides\\-3x+2x = -8\\-x = -8$

x = 8

So, For x = 8, NO will be parallel to KJ.