Mathematics, 22.07.2020 22:01 potatocow
In ΔABC shown below, BD over BA equals BE over BC: Triangle ABC with segment DE intersecting sides AB and BC respectively. The following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side: Top path, by Given the ratio of line segments BD to BA is equal to the ratio of line segments BE to BC. By Side Angle Side Similarity Postulate, triangle ABC is similar to triangle DBE. By Corresponding Parts of Similar Triangles, angle BDE is congruent to angle BAC. By Converse of the Corresponding Angles Postulate, line segment DE is parallel to line segment AC. Bottom path, by space labeled as 2, space labeled by 1 occurs. By Side Angle Side Similarity Postulate, triangle ABC is similar to triangle DBE. By Corresponding Parts of Similar Triangles, angle BDE is congruent to angle BAC. By Converse of the Corresponding Angles Postulate, line segment DE is parallel to line segment AC. Which reason can be used to fill in the numbered blank space? 1. ∠A ≅ ∠A 2. Reflexive Property of Equality 1. ∠A ≅ ∠B 2. Corresponding Parts of Similar Triangles 1. ∠A ≅ ∠B 2. Corresponding Angles Postulate 1. ∠B ≅ ∠B 2. Reflexive Property of Equality
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In the field of thermodynamics, rankine is the unit used to measure temperature. one can convert temperature from celsius into rankine using the formula , what is the temperature in celsius corresponding to r degrees rankine? a. 9/5(c - 273) b. 9/5(c + 273) c. 5/9( c - 273) d. 5/9( c + 273)
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In which direction does the left side of the graph of this function point? a(x) = 3x - x2 + 4x - 2
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In ΔABC shown below, BD over BA equals BE over BC: Triangle ABC with segment DE intersecting sides A...
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