Question

Question 5 What is the value of x?

Answer 1

Answer:

x = 27

Step-by-step explanation:

An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

Therefore we have the equation:

$\dfrac{x+8}{10}=\dfrac{2x-5}{14}$              cross multiply

$14(x+8)=10(2x-5)$             use the distributive property

$(14)(x)+(14)(8)=(10)(2x)+(10)(-5)$

$14x+112=20x-50$           subtract 112 from both sides

$14x=20x-162$           subtract 20x from both sides

$-6x=-162$         divide both sides by (-6)

$x=27$