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Scrat [10]
3 years ago
8

Will give brainiest if correct A. 69.1 B. 20.9 C. 22.4 D. 67.6

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
8 0
Using sin law;

sin A/ a = sinB/ b

where A = C or 90 degrees; a = 21
B = ? , b = 8

solving for b;
sin(90) / 21 = sin(B) / 8 ; B = 22.39 degrees

Total angle of triangle = 180

180 - 90 - 22.39 = x
x = 67.607 degrees
Anna35 [415]3 years ago
4 0
I think it's D. But I'm not sure if my math was correct
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Answer:

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kirza4 [7]
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==============================================

Work Shown:

\sqrt{x-2}+8=x\\\sqrt{x-2}=x-8\\\left(\sqrt{x-2}\right)^2=(x-8)^2 \text{ square both sides}\\x-2=x^2-16x+64\\0=x^2-16x+64-x+2\\0=x^2-17x+66\\x^2-17x+66 = 0\\(x-11)(x-6) = 0\\x-11 = 0 \text{ or } x-6 = 0\\x = 11 \text{ or } x = 6\\

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\sqrt{x-2}+8=x\\\sqrt{11-2}+8=11\\\sqrt{9}+8=11\\3+8=11\\11=11\\

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Repeat for x = 6 as well

\sqrt{x-2}+8=x\\\sqrt{6-2}+8=6\\\sqrt{4}+8=6\\2+8=6\\10=6\\

We do not get the same thing on both sides, so x = 6 is not a solution. We consider this extraneous.

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Hope I helped











3 0
3 years ago
Read 2 more answers
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