Question

Please help!!! Solve for x.

Answer 1

`Answer: \\ BE\parallel CD\Rightarrow (AB)/(BC) = (AE)/(ED) \\ \Leftrightarrow AE = (AB * ED )/(BC) \\ \Leftrightarrow 7x - 40 = (25 * 18)/(15) \\ \Leftrightarrow 7x - 40 = 30 \\\Leftrightarrow 7x = 70 \Leftrightarrow x = 10`

Answer 2

Answer: x=10

Explanation:

By definition, if a line is parallel to one side of the triangle and intersects the other two sides in the samae ratio, then you can write the following ratio:

`AB/BC=AE/ED`

Now you must substitute values as followiing:

`25/15=(7x-40)/18\\(25/15)*18=7x-40\\30+40=7x\\x=10`

Therefore, the answer is:

x=10