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Murljashka [212]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:  x=2

Step-by-step explanation:

To solve this exercise you must apply the Intersecting secan theorem.

Then, according to this theorem, you can know that:

EC*ED=EB*EA

Therefore, you must substitute the values shown in the figure attached, as following:

(x+4)(x+4+1)=(x+1)(x+1+11)

Now you can solve for x, as you can see below:

(x+4)(x+4+1)=(x+1)(x+1+11)\\\\(x+4)(x+5)=(x+1)(x+12)\\\\\\x^2+5x+4x+20=x^2+12x+x+12\\\\x^2+9x+20=x^2+13x+12\\x^2-x^2+9x-13x=12-20\\-4x=-8\\x=2

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