Posted by **Anonymous** on Sunday, September 18, 2011 at 10:47pm.

points a b and c are collinear if the distance from point a to point b is 8 more than twice the distance from point b to point c and the length of segment ac is 5 times the length of segment of bc, how long is segment ac

- geometry -
**Reiny**, Monday, September 19, 2011 at 8:16am
Make a sketch.

From "length of segment ac is 5 times the length of segment of bc" it is clear that AC is the longer part.

So call the endpoints of your line A and C and place B between them (doesn't really have to be to scale)

label BC = x

then AC = 5x

and AB = 4x

then it said , " the distance from point a to point b is 8 more than twice the distance from point b to point c " or

AB = 2(BC) + 8

4x = 2x + 8

2x = 8

x = 4

then AC = 5x = 20

check:

By my definitions,

BC = 4

AC =20

AB = 16

is 16 equal to 8 more than 2x4 ? YES!

- geometry -
**Anonymous**, Wednesday, September 2, 2015 at 8:27pm
AB= 3x+3 AB=-1+2x and BC=11 find x

- geometry -
**Anonymous**, Tuesday, February 2, 2016 at 7:42pm
AC=21,AB=18+x,BC=x+15. Find X

## Answer This Question

## Related Questions

- Geometry - Point P is located on the segment between point A (1,4) and point D (...
- Geometry - Point P is located on the segment between point A(1,4) and point D(7,...
- Math - A line 'l' intersects line 'm' at point A at 45 degree angle. B and C are...
- geometry - To find the distance from the house at point D to the house at point ...
- Geometry - Okay heres the pic. There is a plane with points B,D, and E.those [...
- Geometry - Point A (-2,3) and point B (4,6) are the endpoints of segment AB. ...
- physics - The figure shows two points in an E-field: Point 1 is at (X1,Y1) = (3,...
- GEOMETRY - How to solve for x in geometry ? for example - there is a line ...
- Math - Okay heres the pic. There is a plane with points B,D, and E.those [oints...
- Geo Hons - Okay heres the pic. There is a plane with points B,D, and E.those [...

More Related Questions