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11Alexandr11 [23.1K]
3 years ago
10

Find x in the parallelogram ?

Mathematics
1 answer:
disa [49]3 years ago
7 0

Answer:

x=14

Step-by-step explanation:

The diagonals of all parallelograms bisect each other. Therefore, we have the following equation:

2x+10=5x-32

Solving for x:

2x+10=5x-32,\\42=3x,\\x=\boxed{14}

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xxTIMURxx [149]

Answer:

(A)-494

Step-by-step explanation:

Given the arithmetic series

S_{19}=\sum_{k=1}^{19}4-3k

The terms in the sequence are:

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  • When k=2, 4-3k=4-3(2)=-2
  • When k=3, 4-3k=4-3(3)=-5

Therefore, the terms in the sequence are: 1, -2, -5, ...

First term, a =1

Common difference, d=-2-1=-3

The sum of an arithmetic series, S_n=\dfrac{n}{2}[2a+(n-1)d]

Therefore:

S_{19}=\dfrac{19}{2}[2(1)+(19-1)(-3)]\\=9.5[2+18*-3]\\=9.5[2-54]\\=9.5*-52\\=-494

The correct option is A.

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Step-by-step explanation:

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Brrunno [24]
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Answer:

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Step-by-step explanation:

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