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Marcel Hernandez · Answer 1 · 2020-10-17T01:59:02+0000

Answer:

1. y=7.2

2. x=18

Explanation:

1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

$(CM)/(CB)=(CN)/(CA)\\ \\(12)/(12+y)=(10)/(10+6)\\ \\12\cdot 16=10\cdot (12+y)\\ \\192=120+10y\\ \\10y=72\\ \\y=7.2$

2. GK is angle G bisector. Use angle bisector's property:

$(GH)/(GI)=(KH)/(KI)\\ \\(40)/(24)=(30)/(x)\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18$