Answer:
x = -3/2, 1
Step-by-step explanation:
1. Use Rule of One
2. Take out the constants
3. Simplify 6/3 to 2
4. Use the product rule
5. Simplify
6. Move all terms to one side
7. Simplify
8. Split the second term
9. Factor out the common terms
10. Factor out the common term (again)
11. Solve for x
Step-by-step explanation:
Complete the proof of the Pythagorean theorem is given below.
Statement Reason
1. ΔABC is a right triangle, with a 1. Given
right angle at ∠C
2. Draw an altitude from point C 2. From a point not on a line, exactly
to AB one perpendicular can be drawn through the point to the line
3. ∠CDB and ∠CDA are right 3. Definition of altitude
angles
4. ∠BCA ≅ ∠BDC 4. All right angles are congruent
5. ∠B ≅ ∠B 5. 
6. ΔCBA ~ ΔDBC 6. AA Similarity Postulate
7.
7. 
8.
8. 
9. ∠CDA ≅ ∠BCA 9. 
10. ∠A ≅ ∠A 10. 
11. ΔCBA ~ ΔDBA 11. AA Similarity Postulate
12.
12. 
13.
13. 
14.
14. 
15.
15. Distributive Property
16.
16.
17.
18. 
Answer:
x = 14
2x = 28
6x = 84
Step-by-step explanation:
6x = 180 - 124 + 2x
4x = 56
x = 14
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