When functions are defined by more then one equation, they are called piecewise defined functions
Answer:
Korea = 15
Italy = 16
France = 17
Step-by-step explanation:
Let :
Korea = x
Italy = x + 1
France = x + 2
(since the values are consecutive)
x + x + 1 + x + 2 = 48
3x + 3 = 48
3x = 48 - 3
3x = 45
x = 45 / 3
x = 15
Korea = x = 15
Italy = x + 1 = 16
France = x + 2 = 17
Answer:
(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41
(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30
Step-by-step explanation:
All angle are either equal to each other or supplementary. I use corresponding angles and vertical angles to prove each of the above.
For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:
8x +70 + (4x - 10) = 180
12x + 60 = 180
12x = 120
x = 10
So if x = 10, then 8x + 70 = 8(10) + 70 = 150
That means all angles are either 150 or 30 for number 3.
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Rotation by -90° about the origin is the transformation ...
(x, y) ⇒ (y, -x)
So, your pre-image points are ...
A'(6, 3) ⇒ A(3, -6)
B'(-2, 1) ⇒ B(1, 2)
C'(1, 7) ⇒ C(7, -1)