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14.07.2020 •
Mathematics
Every proof needs Given and Prove statements. Use the endpoints on the diagram to write a Given statement indicating the down tube is longer than the top tube. Prove the relationship between the opposite angles of the given sides.
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Ответ:
Down tube AC > top tube AB, In A triangle, side opposite greater angle is greater.
Step-by-step explanation:
1. Top tube AB, down tube, AC, and seat tube, BC form a triangle, 1 Given
3. Segment AB = Segment AX, 3. Definition of isosceles triangle
4. m∠1 = m∠2, 4. Base angles of an isosceles triangle
5. m∠2 = m∠3 + m∠C, 5. External angle of a triangle is equal to the sum of the two interior opposite angles
6. m∠1 = m∠3 + m∠C, 6. Substitution
7. m∠B = m∠1 + m∠3, 7. Angle addition postulate
8. m∠B = m∠3 + m∠3 + m∠C, 8. Substitution
9. m∠B > m∠C, 9. Definition of greater than
Down tube AC > top tube AB, In A triangle, side opposite greater angle is greater.
Ответ:
the answer to this question is second