Answer:
11. your choices are correct
12. 132°
Step-by-step explanation:
11. The given equations can be (re)written to slope-intercept form. Only those lines with a slope of 2 will be parallel to the given line.
A: y = 2x -8 . . . . . slope = 2, an answer
B: y = -2x +1 . . . . . slope = -2, not an answer
C: y = -2x +7 . . . . .slope = -2, not an answer
D: y = 2x +2 . . . . . slope = 2, an answer
E: y = -2x -9 . . . . . slope = -2, not an answer
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12. The marked angles are supplementary, so ...
(3x -6)° +(x +2)° = 180°
4x -4 = 180 . . . . . . . . . . . divide by °, collect terms
x -1 = 45 . . . . . . . divide by 4
x = 46 . . . . . . . . . add 1
Now, we can find the angle of interest.
∠PQR = (3x -6)° = (3·46 -6)°
∠PQR = 132°
3
pound of strawberry
Step-by-step explanation:
Given parameters:
Pounds of strawberry picked by Lexi =2 
Pounds of strawberry eaten by Lexi sister = 
Unknown:
Pound of strawberry Lexi's sister ate = ?
Solution:
This is a fraction word problem.
Let pound of strawberry eaten by Lexi's sister = K
We can establish that:
Pound of strawberry eaten by Lexi sister x K = Pound of strawberry picked by Lexi
Mathematically we have:
x K = 2 
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K =
= 
K = 3
pound of strawberry
Exercise is important because of its positive on all the body systems in addition regular exercise reduces the risk factor of contracting many diseases various components of wellness often influence one another summarize how the components of health are related to wellness
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
Define your two QUESTIONS
Write your system of EQUATIONS
SOLVE the system of equations.
Find the SOLUTION to the question being asked.