What angles must be congruent to QPS?
2 answers:
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Answer:
86 m²
Step-by-step explanation:
It can be convenient to think of the figure as an 8×12 rectangle with a 4×5 triangle cut off the corner.
The rectangle area is the product of its length and width:
(12 m)×(8 m) = 96 m²
The triangle area is half the product of its base and height:
(1/2)(4 m)(5 m) = 10 m²
Then the area of the figure is the difference of these:
96 m² -10 m² = 86 m²
The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.
Step-by-step explanation:
Let,
x be the shortest piece.
Therefore,
Middle piece = x+5
As shortest piece is 9 in shorter than longer piece;
Shortest piece = longest piece - 9
x = longest piece - 9
longest piece = x+9
Length of sandwich = 56 in
According to given statement;
Shortest piece + middle piece + longest piece = 56
Dividing both sides by 3;
Shortest piece = 14 in
Middle piece = 14+5 = 19 in
Longest piece = 14+9 = 23 in
The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.
Keywords: Addition, linear equation
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