Question

Directions: Find each value or measure. Assume that segments that appear to be tangent are tangent ​

Answer 1

x = 7, x = 5

Explanation:

Given 2 intersecting chords, then

The product of the parts of one chord is equal to the product of the parts of the other chord.

(1)

27x = 9 × 21 = 189 ( divide both sides by 27 )

x = 7

(2)

12(3x - 5) = 120 ( divide both sides by 12 )

3x - 5 = 10 ( add 5 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5