M is the midpoint of segment AB, AM=4x and AB=7x+9. What is the value of MB? Show your work please
2007-07-01 07:22:21 · 3 answers · asked by keys 1 in Science & Mathematics ➔ Mathematics
M is the midpoint of segment AB, AM=4x and AB=7x+9. What is the value of MB?
If M is the midpoint of AB, AM = MB, and twice the length of AM equals the length of AB
2(4x) = 7x + 9
8x = 7x + 9
x = 9
AM = 4x = (4)(9) = 36
MB = AM = 36
2007-07-01 11:59:07 · answer #1 · answered by MamaMia © 7 · 0⤊ 0⤋
AB = 2AM
7x + 9 = 8x
x = 9
AM = MB = 4x = 36
2007-07-05 05:33:21 · answer #2 · answered by Como 7 · 0⤊ 0⤋
.--------------------- . -------------------.
A M B
AM + MB = AB
Therefore MB = AB - AM
(7X + 9) - (4X)
=7X + 9 - 4X
= 5X + 9
2007-07-01 14:52:37 · answer #3 · answered by Grampedo 7 · 0⤊ 1⤋