Use a proof by cases to show that every perfect square is either a multiple of four or one more than a multiple of four. hint you only need two cases! 2. use a proof by cases to show that if two integers are both odd or both even, then their sum is always even 3. use a proof by contraposition to show that if the sum of two numbers is odd then exactly one of the two numbers must be odd.

What would be the reasons for lines 3 and 4? a. addition property; subtraction property b. addition property; solve c. substitution property; subtraction property d. substitution property; prove

What is the value of x? assume that the line is tangent to the circle.

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?