Question

Find the value of x a. 13 b. 14/5 c. 5 d. 8

Answer 1

Answer:

  C.  5

Step-by-step explanation:

The product of chord segment lengths is the same for the two crossing chords.

Application

One chord has segment lengths 4 and 10; the other has segment lengths x and 8.

  (4)(10) = (x)(8)

  40/8 = x = 5 . . . . . . . divide by the coefficient of x

Answer 2

The value of x is 5, making option C the right choice, using the chord theorem.

The chord theorem, also known as the intersecting chords theorem, is a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal.

In the question, we are asked to find the value of x.

Using the chord property, we know that:

8*x = 4*10,

or, 8x = 40,

or, x = 40/8,

or, x = 5.

Thus, the value of x is 5, making option C the right choice, using the chord theorem.

Learn more about chord theorem at

brainly.com/question/13950364

#SPJ1