I NEED HELP PLEASE!
1 answer:
The given sequence is x-1, -2x+2, 4x-4, -8x+8 .
Notice that this is a geometric sequence because here we have equal common ratio.
So, common ratio : r =
=
= Take out -2 as common factor
= -2 Cancel out x - 1.
The formula for general term of a geometric sequence is,
Where, first term:
We need to find the 10th term of this sequence. So, n = 10.
Next step is to plug in these values in the above formula to get the 10th term. Hence,
So, A is the correct choice.
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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:
x = 2
Step-by-step explanation:
If ΔABC~ΔAED then: