A single-serving bag of trail mix has 10 raisins, 12 cashews, 8 peanuts, 2 Brazil nuts, 10 pumpkin seeds, and 8 dried cranberrie
2 answers:
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Answer:
- (8, -8)
- 100 square units
Step-by-step explanation:
The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...
(A+C)/2 = (B+D)/2
D = A + C - B
D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)
D = (8, -8)
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The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.
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<em>Comment on side lengths</em>
When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.
Answer:
Part A :
The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' is divided by 3.
Part B :
P"(-1,2), Q"(0,3), R"(1,0)
Part C :
Triangle PQR and P"Q"R" are not congruent because congruent means equal and similar but triangle PQR and P"Q"R" are proportional because they are rational to each other but do not have the same measures of sides but the angles are congruent.
This is the graphing of the triangle.
