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marysya [2.9K]
4 years ago
15

Geometry honors segment length

Mathematics
1 answer:
Alex787 [66]4 years ago
8 0

Answer:

x = 13

Step-by-step explanation:

Given 2 intersecting chords inside a circle.

The the product of the parts of one chord is equal to the product of the parts of the other chord, that is

18(2x - 5) = 14(2x + 1) ← distribute both sides

36x - 90 = 28x + 14 ( subtract 28x from both sides )

8x - 90 = 14 ( add 90 to both sides )

8x = 104 ( divide both sides by 8 )

x = 13

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