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B. Number the sentences in an order to complete an indirect proof. Given: In A EFG, EF = FG Prove: mzE 90° O Therefore the temporary assumption that mLE = 90° must be false. O But this contradicts the fact that the sum of the measures of the angles of a triangle is 180. O Assume temporarily that mzE = 90° Then mLG = 90°, and mzE + mzF + m2G = 90 + m²F + 90 > 180

B. Number the sentences in an order to complete an indirect proof. Given: In A EFG, EF = FG Prove: mzE 90° O Therefore the temporary assumption that mLE = 90° must be false. O But this contradicts the fact that the sum of the measures of the angles of a triangle is 180. O Assume temporarily that mzE = 90° Then mLG = 90°, and mzE + mzF + m2G = 90 + m²F + 90 > 180

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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b.Number the sentences in an order to complete an indirect proof.
B. Number the sentences in an order to complete an indirect proof. Given: In A EFG, EF = FG Prove: mLE # 900 O Therefore the temporary assumption that mLE = 90° must be false. O But this contradicts the fact that the sum of the measures of the angles of a triangle is 180. Assume temporarily that mzE = 90º Then m2G = 90°, and mLE + mzF ++ mzG = 90 +m²F + 90 > 180 It follows that m¿E # 90°
Transcribed Image Text:B. Number the sentences in an order to complete an indirect proof. Given: In A EFG, EF = FG Prove: mLE # 900 O Therefore the temporary assumption that mLE = 90° must be false. O But this contradicts the fact that the sum of the measures of the angles of a triangle is 180. Assume temporarily that mzE = 90º Then m2G = 90°, and mLE + mzF ++ mzG = 90 +m²F + 90 > 180 It follows that m¿E # 90°
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