Question

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

Answer 1

if B is the midpoint, then the expression for AC's length must be equal to the one for BC's length.

Set these two expressions equal and see if you can solve for an x value.

If so, then yes, it's possible. If not, then it is not possible.

Answer 2

Which of the following is NOT an undefined term of Geometry? (3 points)
point
line
segment
plane

Answer 3

it s not possible.. AB s 10 and on solving u get BC 15.. so b cannot be the midpoint

Answer 4

I messed up the way I wrote that post a minute ago. AC is the whole length. So set the expression for BC equal to the expression for AB (and AB just = 10)

10 = 2x + 5

Then if that x also satisfies the expression for AC, making AC = twice AB = twice BC, then yes, it is possible

Answer 5

I labeled my points incorrectly... sorry!

Answer 6

10+2x+5 = 5x
15 = 3x
x = 5