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Answer:
If every line parallel to two lines intersects both regions in line segments of equal length, then the two regions have equal areas. In the case of your problem, every line parallel to the bases of the two parallelograms will intersect them in lines segments, each with a width of ℓ.
Answer:
y = 10
x = 64
Step-by-step explanation:
the equations containing y are adjacent angles in a parallelogram, meaning that they are supplementary, so we can create an equation:
5y + 2 + 12y + 8 = 180
solve this to get y = 10
the equation for x would be 2x + 5y + 8 = 180 because these angles are also supplementary
solve this to get x = 64
Answer:
otterbox costs $95; beats costs $210
Step-by-step explanation:
x = otterbox y = beats
4x + 2y = 800 y = 2x + 20
4x + 2(2x + 20) = 800
4x + 4x +40 = 800
8x + 40 = 800
8x = 800 - 40
8x = 760
x = 760 / 8
x = 95 Otterbox costs $95 each
4x + 2y = 800
4(95) + 2y = 800
380 + 2y = 800
2y = 800 - 380
2y = 420
y = 420 / 2
y = 210 Beats costs $210
4(95) + 2(210) = 800
380 + 420 = 800
