Converse (switch p and q)
If an angle is obtuse, then it measures 128°
This is false (a 127° angle is obtuse, but it does not measure 128°)
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Inverse (negations of p and q)
If an angle does not measure 128°, then it is not obtuse
This is false (a 127° angle does not measure 128°, but it is obtuse)
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Contrapositive (negations of p and q, then switch their places)
If an angle is not obtuse, it does not measure 128°
This is true (any 128° is obtuse; no exceptions)
Answer:
(x, y) → (x - 3, y + 5 )
Step-by-step explanation:
A shift of 3 units to the left means subtract 3 from the original x- coordinate.
A shift of 5 units up means add 5 to the original y- coordinate.
Thus the rule representing the translation is
(x, y ) → (x - 3, y + 5 )
Answer:
x = -1 or 2
Step-by-step explanation:
Taking the antilog, you have the quadratic ...
x^2 -x -1 = 1
x^2 -x -2 = 0 . . . . subtract 1
(x -2)(x +1) = 0 . . . factor
The values of x that make these factors zero are the solutions to the equation.
x = 2 or x = -1
Answer:
rounding to the nearest tenth
Step-by-step explanation:
