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:
523.333 cubic yards
Step-by-step explanation:
The formula for the volume of a sphere is
where
is the radius.
The radius of the given sphere is
yards and
.
Therefore, we can substitute in the radius and solve:
cubic yards
Answer:
57
Step-by-step explanation:
variables
substitution
Okayuyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
With a scientific calculator