Question

How do I solve for x

Answer 1

Answer:

x = 40/7

Step-by-step explanation:

Look at the picture.

If ABC is any triangle and AD bisects (cuts in half) the angle BAC, then

$\dfrac{AB}{BD}=\dfrac{AC}{DC}$

In our triangle we have the proportion:

$\dfrac{x}{8}=\dfrac{10-x}{6}$            cross multiply

$6x=8(10-x)$               use distributive property

$6x=(8)(10)+(8)(-x)$

$6x=80-8x$                   add 8x to both sides

$14x=80$            divide both sides by 14

$x=\dfrac{80}{14}$

$\boxed{x=\dfrac{40}{7}}$