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lyudmila [28]
4 years ago
13

Given the median qr and trapezoid mnop what is the value of x 3x-8

Mathematics
2 answers:
Paha777 [63]4 years ago
8 0

<u>Answer-</u>

The value of x was found to be 7.

<u>Solution-</u>

In the given trapezium, the parallel sides are NO, MP and QR is the median.

From the geometric properties of trapezium, we know that,

The median line is always parallel to the bases and its length is the average length of the bases.

\Rightarrow \frac{NO+MP}{2}=QR

\Rightarrow \frac{(3x-8)+(7x+4)}{2}=33

\Rightarrow 3x-8+7x+4=66

\Rightarrow 10x-4=66

\Rightarrow 10x=70

\Rightarrow x=7

Therefore, the value of x is 7.

Anton [14]4 years ago
5 0

Answer:7

Step-by-step explanation:a p e x

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We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

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a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20

Then the sum of the first 8 terms is given by:

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