Question

m is the midpoint of ad. what value of x will make triangles abm and dcm congruent? the sss congruence theorem triangle congruence: sss and hl

Explanation:

Step1: Set equal sides

For triangles ABM and DCM to be congruent (SSS), BM = CM. So \(3x + 6 = 4x - 1\).

Step2: Solve for x

Subtract \(3x\) from both sides: \(6 = x - 1\). Add 1 to both sides: \(x = 7\).

Answer:

\(x = 7\)