chrissylee1
chrissylee1 chrissylee1
  • 11-12-2021
  • Mathematics
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What is the answer to the question. Solve for x

What is the answer to the question Solve for x class=

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Paounn
Paounn Paounn
  • 11-12-2021

Answer:

Answer:

[tex]x=\frac{75}2[/tex]

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]

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