Point B is AC between A and C. If AB is doubled and BC is also doubled, predict the effect on AC.

Question

asked Jan 16, 2017 50.9k views

2 Answers

Ritesh Ranjan · Answer 1 · 2017-01-22T07:34:24+0000

Answer: AC will also be doubled.

Step-by-step explanation: Given that point B lie between A and C on AC. AB is doubled and BC is also doubled.

We are to find the effect on AC.

Let us consider that

AB = x and BC = y ⇒ AC = AB + BC = x + y.

Then, being doubled, we get

AB = 2x and BC = 2y.

Therefore, we get

AC=AB+BC=2x+2y=2(x+y).

Thus, AC will also get doubled.