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m is the mid - point of ad. what value of x will make triangles abm and…

Question

m is the mid - point of ad. what value of x will make triangles abm and dcm congruent? 3 5 9 7

Explanation:

Step1: M is midpoint, so AM=DM

Given M is midpoint of AD, thus AM=DM.

Step2: Congruent triangles need BM=CM

For △ABM≅△DCM, corresponding sides BM=CM. BM=3x+6, CM=4x-1.

Step3: Solve 3x+6=4x-1

3x+6=4x-1 → x=7.

Answer:

7