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Burka [1]
3 years ago
6

X = a.) 82 b.) 98 c.) 262

Mathematics
1 answer:
Katarina [22]3 years ago
5 0

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that

There is a cyclic quadrilateral .

As we know that Sum of opposite angles of a cyclic quadrilateral is supplementary.

So, it becomes,

98^\circ+x=180^\circ\\\\x=180^\circ-98^\circ\\\\x=82^\circ

Hence, the value of x is 82°.

Therefore, Option 'a' is correct.

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Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

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  Fourth consecutive number will be (x+6)

Now, as given seven times the first exceeds their sum by 18.

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solving the equation to find the number.

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Opening parenthesis

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subtracting both side by 4x

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∴ x= 10.

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  Fourth consecutive number will be (10+6) = 16

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