May I please receive help?


Please?

The exterior angle of each polygon and the adjacent interior angle are

supplementary.

(a) 72°    (b) [tex]\displaystyle 51 \frac{3}{7} ^{\circ}[/tex]    (c) 36°    (d) 20°    (e) 18°

Reasons:

The formula for the exterior angle of a regular polygon is, [tex]\displaystyle \theta = \mathbf{ \frac{360 ^{\circ}}{n}}[/tex]

Where;

θ = The exterior angle of the polygon

n = The number of sides of the regular polygon

(a) The number of sides in a pentagon, n = 5 sides

Therefore, for a regular pentagon, we have;

[tex]Exterior \ angle , \displaystyle \theta = \frac{360 ^{\circ}}{5} = \mathbf{{72^{\circ}}}[/tex]

The measure of the exterior angle of a pentagon, is 72°

(b) An heptagon has n = 7 sides

The measure of the exterior angle, θ, of a regular heptagon is therefore;

[tex]Exterior \ angle \ of \ a \ heptagon , \,\displaystyle \theta = \frac{360 ^{\circ}}{7} = \underline{51 \frac{3}{7} ^{\circ}}[/tex]

(c) A decagon has n = 10 sides, which gives;

[tex]The \ exterior \ angle \ of \ a \regular \ decagon, \,\displaystyle \theta = \frac{360 ^{\circ}}{10} = \underline{36^{\circ}}[/tex]

(d) The exterior angle of an 18-gon with n = 18 sides is given as follows;

[tex]The \ exterior \ angle \ of \ a \ regular \ 18-gon, \,\displaystyle \theta = \frac{360 ^{\circ}}{18} = \underline{20^{\circ}}[/tex]

(e) A regular 20-gon has n = 20 sides

The exterior angle of a regular 20-gon is [tex]\displaystyle \frac{360 ^{\circ}}{20} = \underline{ 18^{\circ}}[/tex]

Learn more about the angles of a polygon here:

https://brainly.com/question/12871621

Answer:

31/35x^7

Step-by-step explanation:

3/5x^4 +2/7x^3

you find the lcm of the denominators

21/35x^7 + ,10/35x^7 =31/35x^7

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The Correct choice is A :

Answer:

A, because ∆ QRS isn't a right angled triangle unlike the other choices and its height is in the middle,the rest of the choices are right angled and the line segments in the choice are all their hypotenuse,and the hypotenuse of a triangle isn't it's height

Answer:

The area is 1,015,968

Step-by-step explanation:

Answer:

1,015,968 (otherwise known as a ridiculously large bedroom lol)

Step-by-step explanation:

912 x 1114 = 1,015,968

Do it on any calculator and it will give you the same thing

I don't know if this was a typo because again that is a ridiculously large bedroom so if it is lemme know and I'll edit my answer

Answer:

64

Step-by-step explanation:

40x1.6

Answer:

13

Step-by-step explanation:

❤️❤️❤️❤️❤️

Answer:

w= -4

Step-by-step explanation:

Distribute to get 4w+12-7w=24

then combine like terms

-3w+12=24

isolate the variable (minus 12)

-3w=12

w= -4

Answer:

50

Step-by-step explanation:

find a number that is 16 less than twice a number is decrease is 84

so if i get this right it is:

84 = 2x-16?

if so we do the following:

84+16 = 2x (Move the variables to one side and the numbers to the other)

100 = 2x (simplify)

50 = x (divide each side)

Answer:

4xy+10y²=2y(2x+5y)

Hope it helps!!!

inequality form: x>3

interval form: (3,infinity)

Step-by-step explanation:

Answer:

x>3

Step-by-step explanation:

Answer:

Hold on, our servers are swamped. Wait for your answer to fully load.

Step-by-step explanation:

Hold on, our servers are swamped. Wait for your answer to fully load.

9514 1404 393

Answer:

  -13 < x ≤ 4

Step-by-step explanation:

The round bracket means the lower limit is not included in the interval. The square bracket means the upper limit is included.

  -13 < x ≤ 4

Answer:

[tex]a_{n}[/tex] = 0.5n - 2.5

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = a₂ - a₁ = - 1.5 - (- 2) = - 1.5 + 2 = 0.5 , then

[tex]a_{n}[/tex] = - 2 + 0.5(n - 1) = - 2 + 0.5n - 0.5 = 0.5n - 2.5 ← explicit equation

Answer:

The six pack of water is the best deal.

Step-by-step explanation:

Divide the number of water bottles per pack by the cost of the pack.

$1.58 per bottle for the six pack.

$2 per bottle for the nine pack.

$1.72 per bottle for the 12 pack.

Answer:

[tex]x = 56.02 \degree[/tex]

Step-by-step explanation:

To find the angle you have to use sin rule

[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

Let the unknown angle be x

[tex] \sin(x) = \frac{o}{h} \\ \sin(x) = \frac{34}{41} \\ \sin(x) = 0.8292 \\ x = \sin ^{ - 1} 0.8292 \\ x = 56.02 \degree[/tex]

Hope this helps you

Let me know if you have any other questions :-):-)

Answer:

i think its A i may be wrong

The answers are :

a) The derivative of this function at the point (3,256) is -96.

b) The speed at which the supply bundle is falling is negative.

What is derivative ?

Derivative is the slope of the graph of function or the slope of the tangent line at a point.

A function is given which is h(t) = 400 - 16t².

Here , h(t) gives the height of the supply bundle in feet , t seconds after it is dropped from a height of 400 feet.

a)

We have to find out the derivative of the given function at a point (3,256).

h'(t) = [tex]\frac{d}{dt}[/tex] (400 - 16t²)

h'(t) = 0 - 2 × 16 × t

h'(t) = -32 t

This function at (3,256) so , value of t is 3.

h'(t) = -32 × 3

h'(t) = -96

b)

Speed = -32 t

So , the speed at which the supply bundle is falling is negative. With increase in value of t it will keep decreasing.

Therefore , the answers are :

a) The derivative of this function at the point (3,256) is -96.

b) The speed at which the supply bundle is falling is negative.

Learn more about derivative here :

https://brainly.com/question/28527987

#SPJ2

Answer:

Answer is 10% of 30 = 3

Answer:

no, you're just simplifying the fraction.

Step-by-step explanation:

4/6=2/3

i used polynomial division.. i hope this helps :)

Answer:

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Since it is only being reflected, the letters would match up with their primes and still equal the same amount for the sides. Since B'C' is 41, it would mean that BC is 41 too

The first five terms of a geometric sequence are 5, 10, 20, 40, 80.

A geometric sequence is also known as Geometric Progression (GP) is a non-zero numerical series whereby each term succeeding the very first is determined by multiplying the preceding one by a fixed, non-zero value designated as the common ratio.  

It can be expressed by using the formula:

[tex]\mathbf{a_n = ar^{n-1}}[/tex]

where;

Given that;

∴

The second term of the sequence is:

[tex]\mathbf{a_2 = 5 \times 2^{2-1}}[/tex]

[tex]\mathbf{a_2 = 5 \times 2^{1}}[/tex]

[tex]\mathbf{a_2 = 10}[/tex]

The third term of the sequence is:

[tex]\mathbf{a_3 = 5 \times 2^{3-1}}[/tex]

[tex]\mathbf{a_3 = 5 \times 2^{2}}[/tex]

[tex]\mathbf{a_2 = 20}[/tex]

The fourth term of the sequence is:

[tex]\mathbf{a_4 = 5 \times 2^{4-1}}[/tex]

[tex]\mathbf{a_3 = 5 \times 2^{3}}[/tex]

[tex]\mathbf{a_4 = 40}[/tex]

The fifth term of the sequence is:

[tex]\mathbf{a_5 = 5 \times 2^{5-1}}[/tex]

[tex]\mathbf{a_3 = 5 \times 2^{4}}[/tex]

[tex]\mathbf{a_4 = 80}[/tex]

Learn more about the Geometric sequence here:

https://brainly.com/question/1509142

Answer:

SA = 29.75 cm^2

Answer:

Abrazos

Step-by-step explanation:

segundo = x

primero = (3*)segundo

tercero = (2*)primero

tercero = 2 * 3 = (6*)segundo

6x + 3x + x = 3000

10x = 3000

x = 300

segundo = 300

primero = 300 * 3 = 900

tercero = 300 * 6 = 1800

checando: 1800 + 900 + 300 = 3000

Step-by-step explanation:

11)

d=√[(-2-(-3))^2+(3-10)^2]=√(-2+3)^2+(-7)^2

=√1+49=√50=7.07 approximately

12)

M (((-1)+(-7))/2 , (2+(-4))/2)=(-8/2 , -2/2)=(-4 ,-1)

Answer:

e Are you need me?you write l donot know.

Answer:

1.5 if you Evaluate and in fraction form [tex]\frac{15}{10}[/tex]

Answer:

45degres

Step-by-step explanation:

Answer:

55+45+X=180

X=180-100

X=80

Step-by-step explanation:

Add

Inverse the sum of 55 and 45

Then subtract

Q: (2a-b) * (a-2b)

[tex](2−)(−2)[/tex]

[tex]2(−2)+(−2)(−)[/tex]

[tex]22−4+(−2)(−)[/tex]

[tex]22−4−(−2)⋅[/tex]

[tex]22−4+22−⋅[/tex]

Q: (4x - 2) * (x -4)

[tex](4−2)(−4)[/tex]

[tex]4(−4)−2(−4)[/tex]

[tex]42−16−2(−4)[/tex]

[tex]42−16−2+8[/tex]

[tex]42−16−2+8[/tex]

[tex]42−18+8[/tex]

[tex]42−18+8[/tex]

Hope its help you !!