30 complete the proof of the pythagorean theorem
given: abc is a right triangle , with a right angle at prove: a^2+ b^2=c^2

1. ΔABC is a right triangle, with a right angle at ∠C.  ~  Given

2. Draw an altitude from point C to (line segment) AB  ~  From a point not on a line, exactly one perpendicular can be draw through the point to the line.

3. ∠CDB and ∠CDA are right angles  ~  Definition of altitude

4. ∠BCA  ≅ ∠BDC  ~  All right angles are congruent

5. ∠B  ≅ ∠B  ~  Reflexive Property

6. ΔCBA ~ ΔDBC  ~  AA Similarity Postulate

7. a/x = c/a  ~  Polygon Similarity Postulate

8. a^2 = cx  ~  Cross Multiply and Simplify

9. ∠CDA  ≅ ∠BCA  ~  All Right Angles are Congruent

10. ∠A  ≅ ∠A  ~  Reflexive Property

11. ΔCBA ~ ΔDBA  ~  AA Similarity Postulate

Step-by-step explanation:

plz me :)

the answer is b.)

< 1=< 2

correct choice is a

step-by-step explanation:

the equation of the line passing through the points and is

thus, the equation of the line that passes through the points (0, -6) and (-3, 0) is