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lina2011 [118]
3 years ago
14

Can you help me on this geometry question?

Mathematics
2 answers:
adell [148]3 years ago
4 0
??? What is it (the question)
Lubov Fominskaja [6]3 years ago
3 0
What is the question?
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What is the value of x?<br><br> 2<br> 3<br> 6<br> 7
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Answer:

x = 2

Step-by-step explanation:

By the property of intersecting chords outside of the circle.

EC  \times ED = EB \times  EA \\ (x + 4)(x + 4 + 1) = (x + 1)(x + 1 + 11) \\ (x + 4)(x + 5) = (x + 1)(x + 12) \\  {x}^{2}  + (4 + 5)x + 20 =  {x}^{2}  + (1 + 12)x + 12 \\ 9x + 20 = 13x + 12 \\ 9x - 13x = 12 - 20 \\  - 4x =  - 8 \\ x =  \frac{ - 8}{ - 4}  \\  \huge \red{ \boxed{x = 2}}

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