The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.

Answer:

38.5 years old

Step-by-step explanation:

Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.

(Mrs.Kelly's age) + (Brother) = (62)

Substitute,

(k) + (k - 15) = 62

Simplify,

k + k - 15 = 62

2k - 15 = 62

Inverse operations,

2k - 15 = 62

2k = 77

k = 38.5

The choose (d)

1/2(x+1)

x²–25/x²+6x+5 / 2x-10

(x+5)(x-5)/ (x+1)(x+5) / 2(x-5)

Remove (x+5) from the first fraction

(x-5)/(x+1) / 2(x-5)

(x-5) / 2(x-5)(x+1)

Remove (x-5)

1/2(x+1)

I hope I helped you

Good luck ^_^

Answer:

920

So, 0.45=920 as a proper fraction in simplest form.

Answer:

10

please mark brainiest

Answer: (I am not a maths moderator)

x=4

Step-by-step explanation:

Multiply the exponents

(2x-4)^12=(4^2)^6 (exponents multiply so)

(2x-4)^12=4^12

4^12 = 16777216

(2x-4)^12= 16777216

Take the 1/12 exponent for both sides

that will remove the ^12 exponent from the left side and will take the 12th root for the right.

2x-4=4

add 4 to both sides

2x=8

divide both sides by 2

x=4

Answer:

x=4

Step-by-step explanation:

[tex](2x-4)^{12}[/tex]  =[tex]16^{6}[/tex]

2x-4=[tex]\sqrt[12]{16^{6} }[/tex]  =4

x=4

Answer:

x = 38

Step-by-step explanation:

The chord- chord angle HWO is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )

2x + 4 = 80 ( subtract 4 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

Answer:

1

Step-by-step explanation:

hope this helps <3

The value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle shown in the picture.

From the tangent-chord angle theorem:

Angle CBA = (1/2)[360 - (272x+2)]

Angle CBA = (1/2)[360 - 272x - 2]

Angle CBA = (1/2)[358 - 272x ]

43x = 179 - 136x

179x = 179

x = 1

Thus, the value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.

Learn more about circle here:

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Answer:

[tex]y=3x-7[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Points (3,2) and (6,11)

[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=3(3)+b\\2=9+b[/tex]

Subtract 9 from both sides

[tex]2-9=9+b-9\\-7=b[/tex]

Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-7[/tex]

I hope this helps!

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

Answer:

1. C) 8•9

2. D) 4•2

Step-by-step explanation:

1. multiplication come first before division

2. You have to resolve parenthesis first (3+4•2)

3•24÷12-(3+8)

Answer:

i think c and d

Step-by-step explanation:

math

Answer:

Step-by-step explanation:

Start by looking at the face that is closest to the bottom left. It is a hexagon and it makes 1 face.

It is connected to a similar hexagon on the upper right by 6 tiles. So that adds 7 more faces.

The total is 2 hexagons + 6 rectangles = 8 faces.

Answer: D

Step-by-step explanation:

I think it’s D I’m not sure

Answer:8

Step-by-step explanation:

We can expect 8 of the next 16 people to have black hair, based on the given information.

It is a branch of mathematics that deals with the occurrence of a random event.

Since 2 out of the total number of people who have already taken their seats at the seminar have black hair

we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.

The probability of a person having black hair can be expressed as:

P(black hair) = 2/(2+2) = 1/2

This means that out of the total number of people who have already taken their seats, half of them have black hair.

If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,

we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:

Expected value = total number of people x probability of having black hair

Expected value = 16 x (1/2)

Expected value = 8

Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.

To learn more on probability click:

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Answer:

40 m and 34 m

Step-by-step explanation:

vas muy bien seguro asi q hazlo tu JAJJA

Answer:

B. Parallelogram

Step-by-step explanation:

1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)

2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.

3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.

4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.

5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.

6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that  B. Parallelogram is the type of polygon that this figure is.

Answer:

15

Step-by-step explanation:

Since range is the difference between the highest valued character and the smallest

20-5=15

Answer:

It is a value that is an abnormal distance from the other values in a data set.

Step-by-step explanation:

An outlier is something that stands out from another thing. Such as color in a black and white film.

Answer:

Step-by-step explanation:

comparing corresponding elements

x + y = 13

2x - y = 2

Now use substitution method.

x + y = 13

x = 13 - y                 equation(i)

substitute the value of x

2x - y = 2

2(13 - y) - y = 2

26 - 2y - y = 2

-3y = 2 - 26

y = -24/-3

y = 8

substitute the value of y in eqaution(i)

x = 13 - y

x = 13 - 8

x = 5

therefore , x = 5 and y = 8

To check :

x + y = 13

when we add x and y then must come 13

5 + 8 = 13

13 = 13

2x - y = 13

substitute the value of x and y . REsult must come 2

2*5 - 8 = 2

10 - 8 = 2

2 = 2

10 - 8 = 2

Answer:

x = 5, y = 8

Step-by-step explanation:

Another way to write  (x+y, 2x-y)= (13, 2) is

x + y = 13 -- (1)

2x - y = 2 -- (2)

using the elimilation method,

Rewriting (1), y = 13 - x --(1)'

Replacing (1)' into (2),

2x - ( 13 - x) = 2

2x - 13 + x = 2

3x = 15

x = 5 -- (3)

Replacing (3) into (1),

5 + y = 13

y = 8 -- (4)

Accorindg to (3) and (4),

x = 5, y = 8

If this helps you, please give brainliest!

Answer:

-8/3

Step-by-step explanation:

(5+1)2 - (12+32) /3

(6)(2) - (44)/3

12 - 44/3

-8/3

Answer:

missing side =19 ft

Step-by-step explanation:

area of a triangle =base *height/2

57=base*6/2

57*2=base*6

114=base*6

114/6=base

19 ft=base

Answer:

130°

Step-by-step explanation:

Angle 3 and 7 are the same so angle 7 is 50°

180° is the angle of a straight line so we take 50 away from 180 giving us 130°.

Hope this helps! :)

Answer:

x1= -13,x2=3

Step-by-step explanation:

we have

(x+5)^2 -64=0

<=>x^ 2 + 10x+ 25-64=0

<=>x^ 2+10x-39=0

<=>( x-3).(x+13)=0

Answer:

-13, 3

Step-by-step explanation:

khan

Answer:

Decay rate of 2%

Step-by-step explanation:

Since there is no information about the units for time, merely stating that the decay rate is 2% will suffice. The decay rate for when r < 1 is found by finding 1-r, so the rate of decay is .02, or 2%.

Answer:

15. a because b is being squared by a variable meaning it is exponential and goes forever, but the answer choice B is set only to 3 squared, so a is the answer.

16. D because square root of 96 MINUS square root of 54 on calculator is 2.44948974278, BUT the square root of 6 is ALSO 2.44948974278, so the answer is D or square root of 6

Step-by-step explanation:

my explanation is all on the top

Answer:

x =-8424

Step-by-step explanation:

x÷36= -234

Multiply each side by 36

x÷36  *36 = -234 *26

x =-8424

Answer:

x = -8424

Step-by-step explanation:

[tex]x \div 36 = -234\\\\\frac{x}{36} = -234\\\\x = -234 \times 36 = -8424[/tex]

Answer:

I=use PTR/100

ii =p+i

Step-by-step explanation:

hope you like it