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makvit [3.9K]
2 years ago
10

(250 Points If your right!) Triangle ABC is similar to triangle DEF. Find the measure of side FD. (Round your answer to the near

est tenth PLEASE.)

Mathematics
1 answer:
ryzh [129]2 years ago
3 0

Answer:

x=88.09

Step-by-step explanation:

19/11 = x/51

11x=969

x=969/11 or x=88.09

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Answer: x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

Step by step:

1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

(Used a table of common angles)

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3 years ago
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Answer:

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