Explanation:
a. The line joining the midpoints of the parallel bases is perpendicular to both of them. It is the line of symmetry for the trapezoid. This means the angles and sides on one side of that line of symmetry are congruent to the corresponding angles and sides on the other side of the line. The diagonals are the same length.
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b. We observe that adjacent pairs of points have the same x-coordinate, so are on vertical lines, which have undefined slope. KN is a segment of the line x=1; LM is a segment of the line x=3. If the trapezoid is isosceles, the midpoints of these segments will be on a horizontal line. The midpoint of KN is at y=(3-2)/2 = 1/2. The midpoint of LM is at y=(1+0)/2 = 1/2. These points are on the same horizontal line, so the trapezoid <em>is isosceles</em>.
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c. We observed in part (b) that the parallel sides are KN and LM. The coordinate difference between K and L is (1, 3) -(3, 1) = (-2, 2). That is, segment KL is the hypotenuse of an isosceles right triangle with side lengths 2, so the lengths of KL and MN are both 2√2.
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For part (c), we used the shortcut that the hypotenuse of an isosceles right triangle is √2 times the leg length.
Answer:
0.5 seconds
Step-by-step explanation:
On the ground, height is 0
-16t² + 4 = 0
16t² = 4
t² = 4/16
t² = ¼
t = ½
This is the formula you would use to calculate how many tiles you would need.
# of tiles you need = Total square footage ÷ square footage of each tile
Total square footage: 69x69 = 4761 square feet
Square footage of each tile = 2x2 = 4 square feet
# of tiles you need = 4761 ÷ 4 = 1190.25
You will need 1190.25 tiles.
C, or the last photo, shows a reflection.
Answer:
6
Step-by-step explanation:
The absolute value of a non-negative number is the same number.
Example: The absolute value of 4 is 4.
If a number is negative, its absolute value is the same number, without the negative sign.
Example: The absolute value of -3 is 3.