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Yuliya22 [10]
3 years ago
10

What is the value of x?2367​

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

Using the property of two secants segments to a circle, we have that:

EB * EA = EC * ED

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

(x + 1)(x + 12) = (x + 4)(x + 5)

x^2 + 13x + 12 = x^2 + 9x + 20

13x + 12 =9x + 20

13x - 9x = 20 - 12

4x  = 8

x = 2

So the value of x is 2

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</span></span></span>Combine Like Terms:<span>=<span><span><span><span>8.9x</span>+<span>−5</span></span>+<span>−<span>6.8x</span></span></span>+8</span></span><span>=<span><span>(<span><span>8.9x</span>+<span>−<span>6.8x</span></span></span>)</span>+<span>(<span><span>−5</span>+8</span>)</span></span></span><span>=<span><span>2.1x</span>+<span>3

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