Question

What is the answer to the question. Solve for x

Answer 1

Answer:

`x=\frac{75}2`

Explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular
`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`