Question

Help I don’t know what to do. Please show me steps.

Answer 1

31 cm

Explanation:

Theorem: If two chords are equidistant from the center of a circle, then they and their arcs are congruent, and conversely.

Using this theorem,

JK = LM.

So,

3x+19 = 6x+7

Solve this equation:

3x-6x = 7-19

-3x = -12

3x = 12

x = 4

If x = 4 cm, then

JK = 3·4+19 = 12+19 = 31 cm