What is the length of the longer of the two chords shown?

19

Step-by-step explanation:

When 2 chords intersect then the product of the parts of one chord equal the product of the parts of the other chord, that is

12(x - 7) = 4(x + 3) ← distribute parenthesis on both sides

12x - 84 = 4x + 12 ( subtract 4x from both sides )_

8x - 84 = 12 ( add 84 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Thus

12 + x - 7 = 12 + 12 - 7 = 17

4 + x + 3 = 4 + 12 + 3 = 19 ← longer chord

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x