Question

Two chords intersect with the measures shown in the drawing What is the value of x?

Answer 1

X = 10.

The intersecting chords theorem states that the product of the segments formed by two intersecting chords are equal.  This gives us

6*x = 12*5
6x = 60

Divide both sides by 6:
6x/6 = 60/6
x = 10