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alysiareyes
23.02.2021 •
Mathematics
A fish tank is a rectangular prism that is 30 inches long, 24 inches deep, and 18 inches high. How much water
will it hold:
a. In cubic inches? (2 marks)
b. In cubic feet?
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Ответ:
1080 ft^3
Multiply 30,24,and 18 to get 12960 then divide by 12 to get the feet 1080.
Ответ:
Let angle 4 denote the angle adjacent to angle 3 on the right side (so between lines a and b, to the right of line c). Angles 3 and 4 are then supplementary.
Lines a and b are parallel, so angles 1 and 4 are congruent because they are alternating interior angles.
By the transitive property, angles 2 and 4 are also congruent.
Again, transitively, angles 2 and 3 are supplementary.
Let angle 5 denote the angle to the left of angle 2 (between a and b, to the left of d). Angles 5 and 2 are supplementary.
Transitively, angles 5 and 3 are congruent.
These two angles correspond to one another, so lines c and d are parallel.