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Solnce55 [7]
3 years ago
9

What is the value of x? 2 3 6 7

Mathematics
2 answers:
VMariaS [17]3 years ago
7 0
This is correct it would. Be 2 and. The explanation was spot on
Arisa [49]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

AE is equal to the sum of AB and BE because of segment addition postulate, we can substitute to get AE = 11 + x + 1 = x + 12

DE is equal to the sum of DC and CE because of segment addition postulate, we can substitute to get DE = 1 + x + 4 = x + 5

To solve the problem, we can use power of a point, more specifically exterior secants products scenario. In this case, we can get the equation:

AE * BE = DE * CE

Now, we can substitute and solve:

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

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

13x + 12 = 9x + 20

4x + 12 = 20

4x = 8

x = 2

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