Question

Find the value of x.

Answer 1

Answer: x=20

Explanation:

`ab=cd`

`x(x - 11) = (x - 5)(x - 8)`

`x^2 - 11x = x^2 - 13x + 40`

`x^2 - 11x = x^2 - 8x - 5x + 40`

`-11x = -13x + 40\\2x = 40\\x = 20`

Answer 2

x = 20

Explanation:

Intersecting Chords Theorem: ab = cd

Step 1: Label our variables

a = x

b = x - 11

c = x - 8

d = x - 5

Step 2: Plug into theorem

x(x - 11) = (x - 5)(x - 8)

Step 3: Solve for x

x² - 11x = x² - 8x - 5x + 40

x² - 11x = x² - 13x + 40

-11x = -13x + 40

2x = 40

x = 20