Question

Line CD bisects line segment AB at the midpoint M. If AM = 15x - 22 and MB 1 point= 6x + 5, what is the length of line segment AB?*сAM MB

Answer 1

We have to calculate the measure of the segment AB.

We know that M is the midpoint, so AM = MB:

$\begin{gathered} AM=MB \\ 15x-22=6x+5 \\ 15x-6x=5+22 \\ 9x=27 \\ x=\frac{27}{9} \\ x=3 \end{gathered}$

Then, as AB=2*AM, we can calculate it as:

$AB=2\cdot AM=2(15\cdot3-22)=2\cdot(45-22)=2\cdot23=46$

The segment AB length is 46 units.