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:
1 hour and 25 minutes
Step-by-step explanation:
There is a 2 1/2 grid unit separation. If each grid unit represents 20 miles, there is a 50 mile separation. 50/40=1.25. It will take a truck driving at 40 miles per hour 1 hour and 25 minutes to drive from warehouse N to this store.
Answer:j
Step-by-step explanation:
If it’s closed it would be greater than -2 but since it’s open it’s equal or greater than
You got the first part right but you need the end so 4*3*1= 12 feet to turn feet into inch you times by 12 so 12*12=144 inc+99=243 cubic inc i think
Answer:
Aplha=105
Step-by-step explanation:
The perpendicular looks like double the base hence that angle is 30 and the other triangle have equal perpendicular and base, that angle is 45. So alpha+30+45=180, alpha=105