What is the goal of a proof by contradiction? A. The truth of the statement cannot be determined, so the proof is
invalid.
B. The contradiction of the statement is proven false, so the original
statement is therefore proven true.
C. The contradiction of the statement cannot be determined, so the
proof is invalid.
D. The contradiction of the statement is proven true, so the original
statement is therefore proven false.
SUBMIT

B. The contradiction of the statement is proven false, so the original

statement is therefore proven true.

Step-by-step explanation:

We assume the opposite and then get to a point where we get a false statement.   That proves that the the opposite of the opposite ( what we originally wanted to prove) is true.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

c

step-by-step explanation: