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What is GM?

I need the answer pleaseee help me

What is GM? I need the answer pleaseee help me-example-1

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Answer: 18

Explanation:


\triangle HJK \cong \triangle HLK by HL. Therefore,
JK=2 by CPCTC.

Using the segment addition postulate,
GK=9.

Furthermore,
\triangle HGK \cong \triangle HMK by HL. This means that
MK=9 by CPCTC.

Using the segment addition postulate again,
GM=9+9=18.

User Dennis Meng
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