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Helen [10]
3 years ago
13

What is the value of y? A. 83 B. 89 C. 96 D. 97

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

<u>A. 83</u> is the correct option.

Step-by-step explanation:

all angles of a triangle are always equal to 180.

46 + 51 + y = 180

97 + y = 180

180 - 97 = <u>83</u>

Have a nice day! :-)

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What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?
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Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

\frac{n(n-3)}{2}

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals = \frac{6(6-3)}{2}

                                   = \frac{18}{2}

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The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals = \frac{7(7-3)}{2}

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The number of diagonals in a heptagon is 14.

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number of diagonals = \frac{30(30-3)}{2}

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The number of diagonals in a 30-gon is 405.

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number of diagonals = \frac{n(n-3)}{2}

The number of diagonals in a n-gon is \frac{n(n-3)}{2}

7 0
3 years ago
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