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32 votes
32 votes
NEED HELP ASAP, find the value of X

NEED HELP ASAP, find the value of X-example-1
User Firkamon
by
3.1k points

1 Answer

10 votes
10 votes

Answer:

C

Explanation:

Given 2 intersecting chords in a circle, then

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

DK × KB = AK × KC , substitute values

12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides )

48x + 12 = 42 + 42x ( subtract 42x from both sides )

6x + 12 = 42 ( subtract 12 from both sides )

6x = 30 ( divide both sides by 6 )

x = 5 → C