Question

Please Help I Don't Understand

Answer 1

Let's see

Use Thales theorem

$\\ \rm\Rrightarrow \dfrac{AE}{AD}=\dfrac{AB}{AC}$

$\\ \rm\Rrightarrow \dfrac{10}{10+8}=\dfrac{x}{10}$

$\\ \rm\Rrightarrow \dfrac{10}{18}=\dfrac{x}{10}$

$\\ \rm\Rrightarrow 18x=100$

$\\ \rm\Rrightarrow x=5.56$

NOTA

Answer 2

Answer:

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:

$\begin{aligned}\sf \dfrac{AE}{AD} & = \sf\dfrac{AB}{AC}\\\\ \implies \sf \dfrac{10}{10+8} & = \sf \dfrac{x}{10}\\\\ \sf \dfrac{10}{18} & = \sf \dfrac{x}{10}\\\\ \sf 10 \cdot 10 & = \sf 18x\\\\\sf 100 & = \sf 18x\\\\ \sf x & = \sf \dfrac{100}{18}\\\\ \sf x & = \sf 5.5555...\end{aligned}$

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