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ArbitrLikvidat [17]
2 years ago
11

Help Pls! I need this fast!

Mathematics
1 answer:
lesya [120]2 years ago
3 0

Answer: 36

Step-by-step explanation:

\overline{AB} \cong \overline{BC} (Triangle ABC is isosceles)

m\angle CAB=m\angle CBA=30^{\circ} (base angles of an isosceles triangle are congruent)

\angle MCB=90^{\circ} (In triangle CMB, angles in a triangle add to 180 degrees)

\angle ACM=30^{\circ} (triangle sum theorem)

MB=24 (30-60-90 triangle CMB)

AB=12 (sides opposite congruent angles in a triangle are congruent)

AB=36 (segment addition postulate)

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Step-by-step explanation:

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