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4 years ago

WITH PICTURE!!3. What is the value of x in the regular polygon below? (3 points)

Mathematics

1 answer:

monitta4 years ago

8 0

Answer: FIRST OPTION.

Step-by-step explanation:

Regular polygons are those polygons whose sides are equal in length and whose angles are all equal.

By definition each interior angle of a Regular polygon,is:

$\frac{180 ( n -2 )}{n}$ (In degrees)

Where "n" is the number of sides of the polygon.

Observe the Regular polygon given in the exercise.

Since it has 6 sides, you can conclude that it is an Hexagon. Then:

$n=6$

Substituting into $\frac{180 ( n -2 )}{n}$ and evaluating, you get:

$\frac{180 ( 6 -2 )}{6}=120\°$

Knowing this, you can write the following equation:

$3x=120$

Finally, you must solve for "x" in order to find its value. This is:

$x=\frac{120}{3}\\\\x=40$

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Can someone please help me with this???

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The point would be (-5, 6). I hope I helped.

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3 years ago

This is for the last post

Mazyrski [523]

Answer:

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3 years ago

The sum of a students three scores is 217. If the first is 30 points more than the the second, and the sum of the first two is 1

nekit [7.7K]

Answer:

First score is 90

Step-by-step explanation:

Let A represent the first score

Let B represent the second score

Let C represent the third score

A+B+C=217 equation 1

If the first score A is 30 points more than the second,B

A=B-30 equation 2

Lastly,sum of A&B is 16 more than 2C

A+B=2C+16 equation 3

From equation 1

A+B=217-C equation 4

substitute for A+B in equation 3

217-C=2C+16

217-16=2C+C

201=3C

C=67

substituting C in equation 4

A+B=217-67

A+B=150

if the first score more than the first,then the first 90 while second 60 since A+B=150

3 0

3 years ago

Read 2 more answers

Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not simila

Ierofanga [76]

Answer: $\triangle XYZ \sim \triangle GFH$ by AA.

Step-by-step explanation:

Finding the third angle in triangle XYZ,

$m\angle YXZ=180^{\circ}-77^{\circ}-48^{\circ}=55^{\circ}$ ,

Thus, $\triangle XYZ \sim \triangle GFH$ by AA.

3 0

2 years ago

Five students, adriana, ben, chandra, diana, and ernesto, would each like one of the four spots at the regional science fair. Th

krok68 [10]

The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

<h3>What is theoretical probability?</h3>

Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.

Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.

The total number of names are 5.
The total number of names chosen are 4.

The total number of ways 4 names can be taken out from 5 names is,

$^5C_4$ .

Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.

Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is

$^4C_3$ .

The theoretical probability that Chandra will be chosen as one of the science fair participants is,

$P=\dfrac{^4C3}{^5C4}\\P=\dfrac{4}{5}\\P=0.8\\P=80\%$

Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

Learn more about the theoretical probability here;

brainly.com/question/8652467

#SPJ1

5 0

2 years ago