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ohaa [14]
3 years ago
14

Find the value of each variable in the parallelogrampls help:)​

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

Step-by-step explanation:

In a parallelogram, the opposite sides are equal and parallel.

Also, consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.

Angle 2m and angle n are supplementary angles. Therefore,

2m + n = 180 - - - - - - - - - - - -1

Also, the opposite angle in a parallelogram are equal. This means that

2m = 70

m = 70/2

m = 35 degrees

Substituting m = 35 into equation 1, it becomes

2 × 35 + n = 180

70 + n = 180

n = 180 - 70

n = 110 degrees

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In an arithmetic sequence, a17 = -40 and
Viktor [21]

Answer:

Tn = 2Tn-1 - Tn-2

Step-by-step explanation:

Before we can generate the recursive sequence, we need to find the nth term of the given sequence.

nth term of an AP is given as:

Tn = a+(n-1)d

If a17 = -40

T17 = a+(17-1)d = -40

a+16d = -40 ...(1)

If a28 = -73

T28 = a+(28-1)d = -73

a+27d = -73 ...(2)

Solving both equations simultaneously using elimination method.

Subtracting 1 from 2 we have:

27d - 16d = -73-(-40)

11d = -73+40

11d = -33

d = -3

Substituting d = -3 into 1

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a - 48 = -40

a = -40+48

a = 8

Given a = 8, d = -3, the nth term of the sequence will be

Tn = 8+(n-1) (-3)

Tn = 8+(-3n+3)

Tn = 8-3n+3

Tn = 11-3n

Given Tn = 11-3n and d = -3

Tn-1 = Tn - d... (3)

Tn-1 = 11-3n +3

Tn-1 = 14-3n

Tn-2 = Tn-2d...(4)

Tn-2 = 11-3n-2(-3)

Tn-2 = 11-3n+6

Tn-2 = 17-3n

From 3, d = Tn - Tn-1

From 4, d = (Tn - Tn-2)/2

Equating both common difference

(Tn - Tn-2)/2 = Tn - Tn-1

Tn - Tn-2 = 2(Tn - Tn-1)

Tn - Tn-2 = 2Tn-2Tn-1

2Tn-Tn = 2Tn-1 - Tn-2

Tn = 2Tn-1 - Tn-2

The recursive formula will be

Tn = 2Tn-1 - Tn-2

5 0
3 years ago
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Step-by-step explanation:

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How did you get that as an answer ?
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If a, b, c, and d are four different digits from 1 to 9, inclusive, then what's the largest possible value for the decimal a.b +
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I think the answer would be 10-18.
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60% of Herbert's movies are adventure movies. He has 18 adventure movies. How many movies does Herbert have in all?
Vera_Pavlovna [14]
Data:
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Answer:
<span>Herbert have in all ?
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