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malfutka [58]
3 years ago
11

Find the value of x.

Mathematics
2 answers:
UNO [17]3 years ago
5 0

Answer:

x = 20

Step-by-step explanation:

Intersecting Chords Theorem: ab = cd

Step 1: Label our variables

<em>a</em> = x

<em>b</em> = x - 11

<em>c</em> = x - 8

<em>d</em> = x - 5

Step 2: Plug into theorem

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

Step 3: Solve for <em>x</em>

x² - 11x = x² - 8x - 5x + 40

x² - 11x = x² - 13x + 40

-11x = -13x + 40

2x = 40

x = 20

svet-max [94.6K]3 years ago
3 0

Answer: x=20

Step-by-step 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

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