Question

Please Help I Don't Understand

Answer 1

Let's see

Use Thales theorem

`\\ \rm\Rrightarrow (AE)/(AD)=(AB)/(AC)`

`\\ \rm\Rrightarrow (10)/(10+8)=(x)/(10)`

`\\ \rm\Rrightarrow (10)/(18)=(x)/(10)`

`\\ \rm\Rrightarrow 18x=100`

`\\ \rm\Rrightarrow x=5.56`

NOTA

Answer 2

The arrows on the line segments mean that the lines are parallel.

⇒ EB ║ DC

Therefore, according to Triangle Proportionality Theorem, EB divides the two sides AD and AC proportionally.

Therefore:

`\begin{aligned}\sf (AE)/(AD) & = \sf(AB)/(AC)\\\\ \implies \sf (10)/(10+8) & = \sf (x)/(10)\\\\ \sf (10)/(18) & = \sf (x)/(10)\\\\ \sf 10 \cdot 10 & = \sf 18x\\\\\sf 100 & = \sf 18x\\\\ \sf x & = \sf (100)/(18)\\\\ \sf x & = \sf 5.5555...\end{aligned}`

As x = 5.55555... round to 5.6 to the nearest tenth,
none of the choices are correct.