Question

Find the value of x in the following diagram.

Answer 1

Answer:

x = 3.5

Step-by-step explanation:

By definition, congruent chords are equidistant from the center of a circle. We are given two congruent chords and their distances(the lines perpendicular), meaning those distances must be equal. We set set up an equation to model the situation:

x + 8 = 3x + 1

8 = 2x + 1

2x = 7

x = 3.5