50 ! 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

12. b/y = c/b =  ~  Polygon Similarity Postulate

13. b^2 = cy  ~  Cross Multiply and Simplify

14. a^2 + b^2 = cx +cy  ~  Addition Property of Equality

15. (CB)^2 + (CA)^2 = (AB)(DB + BA)  ~  Distributive Property

16. x + y = c  ~  Segment Addition Postulate

17. a^2 + b^2 = c^2  ~  Substitution Property

Step-by-step explanation:

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step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.