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Answer:
x = 2, BD = 13
Step-by-step explanation:
Given 2 intersecting chords , then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
4(5x - 1) = 6 × 6 = 36 ( divide both sides by 4 )
5x - 1 = 9 ( add 1 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Then
BD = 5x - 1 + 4 = 5(2) + 3 = 10 + 3 = 13