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vesna_86 [32]
3 years ago
6

Evaluate the expression : 3m + 2n3m+2n for : m = 12m=12 and : n = 5

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0
The answer will be 406
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Answer:

\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ, \\\text{3a. Reflexive Property}, \\\text{3b. ASA (Angle-Side-Angle)}

Step-by-step explanation:

ASA (Angle-Side-Angle) is a proof of congruence that states if two triangles share two angles and the side between those two angles, the triangles are congruent. In problems 1 and 2, the following demonstrate this:

\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ

In problem 3, \overline{IJ}\cong \overline{IJ} is known in geometry as the Reflexive Property. Because of this, the two triangles in the diagram for problem 3 now share two angles and the side between them, thus they are congruent from ASA (Angle-Side-Angle).

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