# geometry question

posted by .

Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point B is the midpoint

No. I answered the same question last week.

The total length of 10 would have to be equal to 7x + 5. That means
7x = 5
x = 5/7
You have an additional requirement that
2x + 5 = 5x, since B is the midpoint.
This requires
3x = 5; x = 5/3

These two requirements cannot both be satisfied.

## Similar Questions

1. ### math

The Brains answered a 50 point question correctly, a 150-point question incorrectly, and a 200-point question incorrectly. What is their final score?
2. ### Geometry

Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point B is the midpoint?
3. ### Algebra

Can you help me with this one? Each auditorium has both floor seats, and balcony seats. Auditoruim A has 200 floor seats and 500 balcony seats. Auditorium B has 100 floor seats and 200 balcony seats. Let f represent the cost of a floor
4. ### Statistics

Sarah took a Statistics midterm which consisted of 13 multiple choice questions. Each question had 6 possible response options. Sarah answered 8 of the 13 questions correctly. Assume that Sarah had the same probability of getting each …
5. ### geometry

Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point B is the midpoint?
6. ### geometry

in a trivia question ;your team answered 32 out of 40 question correctly. the opposing team answered 16 out of 20 questions correctly. was the ratio of correctly answered quesstions to incorrectly questions the same or different for …
7. ### Geometry

Is it possible for AB =10 BC =2x+5 AC =5x given that point B is midpoint why or why not
8. ### geometry

Henry -- on 1-24-14 you answered the question of the trangle ABC with midpoint of P. She didn't ask for P. What would it be?
9. ### geometry

question is: find the coordinates of midpoint P of line BC. Calculate lengths of AP, BP, CP. P is ?
10. ### Math

Is (2,12) a solution to the given system?

More Similar Questions