Question

What is the value of x?

Answer 1

x = 20

Explanation:

Basic proportionality theorem:

If a line drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

`\sf (11)/(121)=(10)/(5x+10)\\\\\\\bf simplify,\\\\\sf (1)/(11)=(10)/(5x + 10)`

• Cross multiply,

1*(5x + 10) = 10*11

5x + 10 = 110

• Subtract 10 from both sides,

5x = 110 -10

5x = 100

• Divide both sides by 5,

x = 100 ÷ 5

`\boxed{\bf x = 20}`

Answer: x = 20