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babunello [35]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
satela [25.4K]3 years ago
5 0

Answer:

x = 4

Step-by-step explanation:

By property of intersecting secants outside of circle.

PC \times PA = PB \times PD \\ 10(2x + 10)  = 9(2x + 3 + 9) \\ 20x + 100 = 18x + 108 \\ 20x - 18x = 108 - 100 \\ 2x = 8 \\ x =  \frac{8}{2}  \\ \huge \red{ \boxed{ x = 4}}

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