Ask question

Ask question

All categories

2 years ago

5

The measure of each interior angle of a regular polygon is eleven times that of an exterior angle how many sides does the polygo

n have

2 answers:

Nuetrik [128]2 years ago

8 0

Let there be x sides.
180(x-2)/x=11*360/x
180(x-2)=11*360
x-2=11*2
x-2=22
x=24

the polygon has 24 sides.

steposvetlana [31]2 years ago

8 0

The polygon would have 24 sides.

$\frac{180n - 360}{n}$ ≈ $\frac{360}{n}$ ( $\frac{11}{1}$ )

$\frac{180n - 360}{n}$ = $\frac{3960}{n}$

180n - 360 = 3,960

180n = 4,320

n = 24

You might be interested in

The princess examines one plant and can’t seem to locate its roots. The plant is labeled as p(x)=x^2+x+3 Which values should the

AleksAgata [21]

Let's actually find the roots, using the quadratic formula:

<span>p(x)=x^2+x+3 gives us a=1, b=1 and c=3.

-1 plus or minus sqrt(1^2-4(1)(3))
Then x = -----------------------------------------------
2

The discriminant here is negative, so the roots x will be complex:

-1 plus or minus sqrt(-11) -1 plus or minus i*sqrt(11)
x = ---------------------------------- = -------------------------------------
2 2

These are irrational roots; they cannot be expressed as the ratios of integers.</span>

8 0

3 years ago

The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>

Let the coordinate of A be $(x_1,y_1)$ is (2,7) respectively
Let the coordinate of B be $(x_2,y_2)$
And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
The mid-point formula is

<h3> $M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ </h3>

Now substitute the coordinates int he above formula we get
$(4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})$
Now equating we get

$4=\frac{2+x_2}{2}$ $2=\frac{7+y_2}{2}$

Multiply by 2 we get Multiply by 2 we get

$4(2)=2+x_2$ $2(2)=7+y_2$

$8=2+x_2$ $4=7+y_2$

Subtracting 2 on both

the sides Subtracting 7 on both the sides

$8-2=2+x_2-2$ $4-7=7+y_2-7$

$6=x_2$ $-3=y_2$

Rewritting the above equation Rewritting the equation

$x_2=6$ $y_2=-3$

<h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0

3 years ago

you won 1 million dollars in prize money, however they are not giving it to you all at once. so is your money trult the value of

Mandarinka [93]

I guess it’s going to be 1million + 2miilion )

8 0

1 year ago

ickets to the high school reunion cost $35 with a meal and $25 without a meal. The reunion committee sells 70 tickets for $2,250

Crank

Answer:

50 tickets with a meal and 20 tickets without a meal

Step-by-step explanation:

Create two equations. Group the information based on labels. All the amounts that have $ in it go with one equation and the number of tickets will be in the second equation.

I will let x represent with a meal and y will represent without a meal

35x + 25y = 2250

x + y = 70

I will solve using substitution, so I will solve for y in the second equation. To do this, I will subtract x from both sides.

x - x + y = 70 - x

y = 70 - x

Now I will substitute in for y in the first equation and solve for x.

35x + 25(70 - x) = 2250

35x + 1750 - 25x = 2250

10x + 1750 = 2250

10x + 1750 - 1750 = 2250 - 1750

10x = 500

10x/10 = 500/10

x = 50

Now I will solve for y. I will use the original second equation and substitute 50 in for x.

x + y = 70

50 + y = 70

50 - 50 + y = 70 -50

y = 20

50 tickets with a meal and 20 tickets without a meal

6 0

2 years ago

A copy machine makes 171 coies in 4 minutes and 45 seconds. How many copies does it make per minute?

Jobisdone [24]

Answer:

36

Step-by-step explanation:

171/(4+0.75) =36

you want it to be in minutes, so calculate the 45 seconds over 60 seconds, which is 0.75. Add that to the 4 minutes, and divide the total number of copies over the time used, and you have speed/minute.

3 0

2 years ago