ABCD is a quadrilateral, P Q R and S divide AB, CB, CD and AD in ratio 1:3 respectively. Prove that a//m. (Please hurry up, I will mark you as Brainliest) ​

Two lines are parallel if they are equidistant from one another. The following proves

means that:

To prove that is to prove that side length SR and side length PQ are parallel because:

--------- See attachment for quadrilateral

Considering , we have:

Divide both sides by PA

Similarly:

Divide both sides by QC

So, we have:

Express as ratios

means point P divided side length BA into 3:1

means point Q divided side length BC into 3:1

Thales Theorem states that: A line that divides any two sides of a triangle in the same ratio is parallel to the third side.

The third side of is .

This means that: is parallel to

Since is parallel to , then is parallel to

i.e.

Recall that:

Hence:

has been proved.

Read more about proof of parallel sides at:

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!

idk

step-by-step explanation: