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Aleks [24]
3 years ago
13

Please please help I don’t know where I’m wrong!!!

Mathematics
1 answer:
Artemon [7]3 years ago
5 0

1/8*5 is 5/40 and you applied it on 1/10 it is going to be 5/50 the denominator has to be the same

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Can someone give me the right answer for this please? I'm so confused
photoshop1234 [79]

Answer:

JK = 18

Step-by-step explanation:

LK = x - 1

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-> LJ = 2x + 10

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By tangent secant segment theorem:

LK \times LJ = JM^2 \\  \\  \implies \: (x - 1)(2x + 10) =  {(12)}^{2} \\  \\  \implies \: x (2x + 10) - 1(2x + 10) =  144\\  \\  \implies \: 2x^{2}  + 10x - 2x  - 10 -  144 = 0\\  \\  \implies \: 2x^{2}  + 8x  -  154 = 0\\  \\  \implies \: 2(x^{2}  + 4x  -  77) = 0\\  \\  \implies \: x^{2}  + 4x  -  77 = 0\\  \\  \implies \: x^{2}  + 11x   - 7x-  77 = 0\\  \\  \implies \: x(x  + 11)   - 7(x + 11) = 0\\  \\  \implies \: (x  + 11)  (x - 7) = 0 \\  \\ \implies \: (x  + 11) = 0 \:  \: or \:  \:   (x - 7) = 0 \\  \\ \implies \: x   =  -  11 \:  \: or \:  \:   x  = 7 \\  \\ x \: can \: not \: be \: negative \\  \implies \: x \neq \:  - 11 \\  \\  \implies \: x = 7 \\  \\  \implies \: JK = x + 11 = 7 + 11 \\  \\ \implies \:  \huge \: { \orange{JK =18}}

Hope it helps you in your learning process.

Have a great day ahead.

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