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3 years ago

If the polygon shown below is a regular nonagon what is the value of x?

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

The sum of the measures of the angles of a polygon is given by (n - 2)(180), where n is the number of sides. In this case we would have (9-2)(180)=7(180)=1260. This is the sum of the angles. Since it is a regular nonagon, that means that all sides are congruent and all angles are congruent. Therefore we find the measure of each individual angle by dividing the sum, 1260, by the number of sides, 9. 1260/9=140. x forms a linear pair with one of the interior angles; that means that the interior angle, 140, added to x would give us 180. Therefore we find x by subtracting 180-140. x = 40.

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Vlad1618 [11]

Here is your answer

$\bold{x=12}$

REASON:

$Concept used$ : The opposite sides of a parallelogram are equal.

So, in above given figure

$3x+7=5x-17$ (measures of opposite sides)

$5x-3x= 17+7$

$2x= 24$

$x= 24/2$

$x= 12$

HOPE IT IS USEFUL

6 0

3 years ago

Read 2 more answers

Write 140 as the product of its prime factors.

Romashka-Z-Leto [24]

$140:\bold{2}=70\\\\70:\bold{2}=35\\\\35:\bold{5}=7\\\\7:\bold{7}=\underline{1}$

so:

$140=2\cdot2\cdot5\cdot7=\boxed{2^2\cdot5\cdot7}$

6 0

3 years ago

Read 2 more answers

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Kay [80]

Answer:

13 and 5

Step-by-step explanation:

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6 0

3 years ago

A city planner designs a park that is a quadrilateral with vertices at J(-1, 1), K (3, 3), L (5, -1), and

Liono4ka [1.6K]

9514 1404 393

Answer:

83 m

Step-by-step explanation:

The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...

8.26(10 m) = 82.6 m ≈ 83 m

_____

The distance formula will tell you the distances are ...

AC = √(3² +1²) = √10

BD = √(5² +1²) = √26

The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.

3 0

3 years ago

PLEASE HELP IM STUCK ON A PROBLEM....

sleet_krkn [62]

Answer:

Number line A.

Step-by-step explanation:

|-5x| - 11 = -1

Add 11 to both sides.

|-5x| = 10

-5x = 10 or -5x = -10

x = -2 or x = 2

Answer: Number line A.

5 0

3 years ago