Answer:
[tex]x\approx5.68\\\\CB\approx24.68[/tex]
Step-by-step explanation:
-The product of the segments of two chords intersecting each other in a circle is always equal:
[tex]A.B=C.D[/tex]
-Given the chords AD and CB, we substitute to solve for x:
[tex]CE\times EB=AE \times ED\\\\\therefore x\times 19=6\times(24-6)\\\\19x=108\\\\x=5.6842\approx5.68[/tex]
#Length CB is the sum of segment x and segment EB:
[tex]CB=x+EB\\\\=19+5.68\\\\=24.68[/tex]
Hence, x is approximately 5.68 and CB is 24.68
