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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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Which value of x would make NO IKI K x 2 in o 1 N x 3 in 06 o 8 x4 in 0 x in o 10 Save and Exit Next Submit class=

Respuesta :

ujalakhan18

Answer:

[tex]\boxed{x = 8}[/tex]

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:

=> [tex]\frac{x-4}{x} = \frac{x-3}{x+2}[/tex]

Cross Multiplying

[tex]\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\\[/tex]

x = 8

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