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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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2. Find the product of each of the following:

Kruka [31]

Step-by-step explanation:

$i) \: \frac{3}{5} \times ( \frac{ - 7}{8} ) = - \frac{21}{40} \\ \\ ii) \: \frac{ - 9}{2} \times \frac{5}{4} = - \frac{45}{8} \\ \\ iii) \: \frac{ - 6}{11} \times \frac{5}{3} = - \frac{10}{11} \\ \\ iv) \: \frac{ - 2}{3} \times \frac{6}{7} = - \frac{4}{7} \\$

6 0

3 years ago

Two number cubes are tossed together; one is blue and the other is orange. What is the probability of getting an odd number on t

scoray [572]

5⇒(1,4),(3,2) where (orange,blue)

P= 2/36=1/18

5 0

3 years ago

Read 2 more answers

PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!!

dsp73

Answer:

the required answer is 64

Step-by-step explanation:

b/4 =16

b = 16 × 4

= 64

7 0

2 years ago

Read 2 more answers

A group of friends went fishing. They each caught 20 fish but not all of them were keepers. Which person was able to keep 3/5 of

Romashka-Z-Leto [24]

Answer:

Those who were able to keep 12 fishes

Step-by-step explanation:

Given

Total = 20 (each)

Required

Which was able to keep 3/5

First, we need to calculate 3/5 of the total number of fishes

Fish = 3/5 * 20

Fish = (3 * 20)/5

Fish = 60/5

Fish = 12

From the calculation above, only those who keep 12 of the 20 fishes were able to keep 3/5 of their fishes

8 0

3 years ago

The ___ of a parabola is the line, along with a point not on the line, which is used to generate a parabola.

enot [183]

Answer:

Directrix

Step-by-step explanation:

The directrix of a parabola is the line, along with a point not on the line (which is the focus), which is used to generate a parabola. The directrix is parallel either to the x- or y-axis, and is perpedicular to the parabola's axis of symmetry (at x = h).

Therefore, the correct answer is "directrix."

3 0

2 years ago