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What is the value of x?​

What is the value of x?​-example-1
User Kshama
by
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1 Answer

3 votes

Answer:

2

Explanation:

The rule for secants from an external point is that the product of the near and far distance to the intersection with the circle is a constant.

EA·EB = EC·ED

(x+12)·(x+1) = (x+4)·(x+5)

x^2 +13x +12 = x^2 +9x +20 . . . . . . eliminate parentheses

4x = 8 . . . . . . . . . . . . subtract x^2+9x+12 from both sides

x = 2 . . . . . . . . . . . . . divide by 4

The value of x is 2.

User Leonneo
by
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