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Brums [2.3K]
3 years ago
5

When the sum of a number plus 3 is squared it is 11 more than the sum of the number plus 2 when squared.

Mathematics
1 answer:
forsale [732]3 years ago
5 0
x-number\\\\
(x+3)^2-11=(x+2)^2\\\\
x^2+2*3*x+3^2-11=x^2+2*2*x+4\\\\
x^2+6x+9-11=x^2+4x+4\ \ |-x^2\\\\6x-2=4x+4\\\\6x-4x=4+2\\\\2x=6\ \ |:2\\\\ x=3

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Answer:

Δ MNO ≅ ΔXYZ by AAS postulate.

Step-by-step explanation:

Given:

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Consider triangles Δ MNO and ΔXYZ.

   Statement                                                 Reason

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2. \angle N=\angle Y                                           Given

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