Question

What is the value of x, given that PQ||BC?

Answer 1

Answer:

Option D is correct.

Value of x is, 10 units.

Step-by-step explanation:

Triangle Proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides of a triangle, then the line divide these two sides proportionality.

Given that: $\overline{PQ} || \overline{BC}$

From the given figure, we have;

AP = 3 units , PB = 6 units , QC = 20 units and AQ = x units.

then, by triangle proportionality theorem;

$\frac{AP}{PB} =\frac{AQ}{QC}$

Substitute the given values, to find the value of x;

$\frac{3}{6} =\frac{x}{20}$

By cross multiply we have;

$60 = 6x$

Divide both sides by 6 we get;

10 = x

Therefore, the value of x is, 10 units