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Nookie1986 [14]
2 years ago
5

5. Solve for x. I keep getting different answers ranging from 35 to 56

Mathematics
1 answer:
Anna35 [415]2 years ago
3 0

Answer: 21

<u>Step-by-step explanation:</u>

x is a tangent line, 56-7 is a secant line.  The length is equal to the outside segment times the entire segment. <em>Notice that the length of the outside of the segment is equal to the entire segment for the tangent line.</em>

x^2=7(56+7)\\\\x^2=7(63)\\\\x=\sqrt{7(63)}\\\\x=\sqrt{7(7\cdot 9)}\\\\x=7\cdot 3\\\\\large\boxed{x=21}

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