Mis the midpoint of ad. what value of x will make triangles abm and dcm congruent? 3 5 7 9

x=7

Step-by-step explanation: In the given figure M is a midpoint .By definition of midpoint AM=MD.It is given AB=CD in figure. Two of the sides are equal .to prove the triangles to be congruent by SSS the third side must be equal

That is BM=CM,

Or  4x-1=3x+6

Subtracting 3x both sides

4x-3x-1=3x-3x+6

x-1=6.

Adding 1 both sides

x=7.

x=7 will make the third side equal and hence the triangles will be congruent by SSS.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: