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Kay [80]
3 years ago
13

Need help on 9 don’t know if I did it right or not but I need help :p

Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

9b) -8 = y

9a) 72° = <em>m</em>∠<em>ABC</em>

Step-by-step explanation:

Since you have an angle trisector, in this case, <em>m</em>∠<em>CBE</em><em> </em>≅ <em>m</em>∠<em>DBA,</em><em> </em>therefore you <em>set</em><em> </em><em>x</em><em> </em>equal to 8, plus, according to Morley's Trisector Theorem, all three angles form an equilateral triangle, so <em>m</em>∠<em>BOC</em><em> </em>also has to equal 24°:

{8}^{2}  - 5(8) = 64 - 40 = 24 \\  \\ 6(8) - 24 = 48 - 24 = 24 \\  \\ 2(8) - y = 24 >> 16 - y = 24 >>  -8 = y

Then, <em>m</em>∠<em>ABC</em><em> </em>comes from multiplying 3 by 24 [three <em>twenty-</em><em>four</em>'s], which results in 72°.

I am joyous to assist you anytime.

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

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Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.

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