Question

Geometry honors segment length

Answer 1

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