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09.07.2019 •
Mathematics
An investment is currently worth 1.2×107 dollars . twenty years ago, the investment was worth 9.6×105 dollars. how many times greater is the value of the investment today than the value of the investment twenty years ago? a. 0.125 b. 12.5 c. 125 d. 12,500
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Ответ:
Ответ:
ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
AAS congruence theorem: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Consider two triangles ΔABC and ΔA'B'C' . If AB=A'B', m∠A=m∠A' and m∠B=m∠B', then two triangles ΔABC and ΔA'B'C' are congruent by ASA theorem.
Now find ∠C and ∠C':
You have AB=A'B', m∠A=m∠A' , m∠C=m∠C' and that is the condition of AAS congruence theorem. These thoughts show you that AAS theorem is straight extension of ASA theorem.