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JK = 8

Step-by-step explanation:

Given 2 intersecting chords, then

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

x(x + 4) = (x + 1)(x + 2) ← expand parenthesis

x² + 4x = x² + 3x + 2 ( subtract x² + 3x from both sides )

x = 2

Then

JK = x + 4 + x = 2x + 4 = 2(2) + 4 = 4 + 4 = 8

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11