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. 
Subtraction
multiplication
yayyyyyyyyyyy
Answer:
No solution.
Step-by-step explanation:
Step 1: Write equation
-3(-x + 4) = 5 + 3(x + 1)
Step 2: Solve for <em>x</em>
- Distribute: 3x - 12 = 5 + 3x + 3
- Combine like terms: 3x - 12 = 3x + 8
- Subtract 3x on both sides: -12 ≠ 8
Here, we see that <em>x</em> has to equal no solution. No value of <em>x</em> would make the equation true.
The total number of possible combinations from flipping a coin 10 times is 2^10 = 1024.
45²
This says "forty five squared"
Try saying it aloud, it may help to hear it :)
This basically just means to multiply 45 by itself twice.
So, what's 45 times 45?
Its 2025!
Hope I helped! :)