Question

Find the value of x. A. 3 B. 2 C. 5 D. 6

Answer 1

C

Explanation:

Given 2 chords intersecting inside a circle, then

the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord, that is

12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides

48x + 12 = 42 + 42x ( subtract 42x from both sides )

6x + 12 = 42 ( subtract12 from both sides )

6x = 30 ( divide both sides by 6 )

x = 5

Answer 2

`\Huge \boxed{x=5}`

Explanation:

Apply the intersecting chord theorem.

DK × BK = AK × CK

12(4x+1) = 14(3 + 3x)

Expand brackets.

48x + 12 = 42 + 42x

Subtract 42x and 12 from both sides.

6x = 30

Divide both sides by 6.

x = 5