Which value of x would make ?

1
3
6
9

Option 4th is correct

x = 9

Step-by-step explanation:

Using Basic Proportionality theorem:

If a line is drawn parallel to one side of a triangle to intersects the other two side in a distinct point, then the other two sides are divided in the ratio.

As per the statement:

In the given triangle ABC.

Then,

by Basic Proportionality theorem:

Substitute the given values, we have;

By cross multiply we have;

⇒

⇒

Combine like terms;

Subtract from both sides we have;

Subtract 5x from both sides we have;

Subtract 3 from both sides we have;

-x = -9

Divide both sides by -1 we have;

x = 9

Therefore, the value of x is, 9

take it another