xayy1085 xayy1085
  • 17-04-2021
  • Mathematics
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Hrishii
Hrishii Hrishii
  • 17-04-2021

Answer:

CA = 32

Step-by-step explanation:

By intersecting chords theorem:

[tex]12(4x + 1) = 14(3 + 3x) \\ \\ 48x + 12 = 42 + 42x \\ \\ 48x - 42x = 42 - 12 \\ \\ 6x = 30 \\ \\ x = \frac{30}{6} \\ \\ x = 5[/tex]

CA = 14 + ( 3 + 3x)

CA = 14 + ( 3 + 3*5)

CA = 14 + ( 3 + 15)

CA = 14 + 18

CA = 32

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