Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE.

Answer:

Opción C, 30 días.

Step-by-step explanation:

Sabemos que:

Felipe asiste al cine cada 3 días

Miguel asiste cada 5 días.

Pedro asiste cada 6 días.

Los tres van juntos un día,  ¿dentro de cuántos días irán otra vez juntos?

Los 3 volverán a ir juntos luego de N días, tal que N es el menor múltiplo común de 3, 5 y 6.

Como 6 es múltiplo de 3, podemos ignorar al 3, y solo considerar al menor múltiplo en común de 5 y 6.

Además, como podemos reescribir estos números como un producto de números primos, así obtenemos:

6 = 2*3

5 = 5*1

Estos números no comparten factores entre ellos, por lo que el menor múltiplo entre 5 y 6 es simplemente 5*6 = 30

Entonces podemos concluir que N = 30

Felipe, Pedro y Miguel irán juntos al cine nuevamente dentro de 30 días.

La opción correcta es C.

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Explanation:

Let's say that a = 25, b = 37 and c = 32 are the side lengths.

The uppercase letters A,B,C are opposite their lowercase counterparts.

That means angle A is opposite side a = 25

Apply the law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

25^2 = 37^2 + 32^2 - 2*37*32*cos(A)

625 = 1369 + 1024 - 2368*cos(A)

625 = 2393 - 2368*cos(A)

625 - 2393  = -2368*cos(A)

-1768  = -2368*cos(A)

-2368*cos(A) = -1768

cos(A)= (-1768)/(-2368)

cos(A) = 0.746621621621622

A = arccos(0.746621621621622)

A = 41.7014263373247

A = 41.7

Answer:

(n + 13n)

Step-by-step explanation:

13n (n) = 13n²

add 13n

so 13n (n + 13n) = 13n² +13n

The volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.

To find the volume of a cylinder, you can use the formula:

Volume = π * r^2 * h

Where π (pi) is approximately 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.

In this case, the height of the cylinder is given as 12 inches, and the diameter is given as 10 inches. To find the radius, we divide the diameter by 2:

Radius = Diameter / 2 = 10 inches / 2 = 5 inches

Now we can substitute the values into the formula to calculate the volume:

Volume = π * (5 inches)^2 * 12 inches

Using the value of π as approximately 3.14159, we get:

Volume ≈ 3.14159 * (5 inches)^2 * 12 inches

Volume ≈ 3.14159 * 25 square inches * 12 inches

Volume ≈ 942.4788 cubic inches

Therefore, the volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ8

Answer:

234.98

Step-by-step explanation:

in class notes

Answer:

D

Step-by-step explanation:

All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.

Answer:

this answer is for functional value only

Answer:

option B

Step-by-step explanation:

[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]

[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]              

[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex]                               [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]

[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]

Answer:

O B.  [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]

Step-by-step explanation:

Use the Quadratic Formula for the Quadratic Equation!

Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]

Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

**********************************************************************

Now set up the values like this!

[tex]ax^{2} +bx+c[/tex]

**********************************************************************

[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]

[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]

x = 1 - 4i

x = 1 + 4i

Answer:

The first one

Step-by-step explanation:

Make 3x+6 into 3(x+2)

Separate x²+5x+6 into (x+2)(x+3)

Cross out both x+3

6x÷3

Put x+2 together to make (x+2)²

[tex]\frac{2x}{(x+2)^2}[/tex]

Answer:

1 / (x+5)

Step-by-step explanation:

Factor the denominator

(x+1)/ (x+5)(x+1)

Cancel both (x+1)

=1/(x+5)

Answer:

y = -8/3x + 33

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 1 / 9 -12

8 / -3

= -8/3

y = -8/3x + b

1 = -8/3(12) + b

1 = -32 + b

33 = b

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Answer:

C. 8 in

Step-by-step explanation:

(5)(6)(x)=240

solve for x

30x=240

x=240/30

x=8

I hope this is help full to you

Answer:

tan(θ) = 12/5

Step-by-step explanation:

According to Pythagoras,

sin(θ) = Opposite / Hypotenuse

tan(θ) = Opposite / Adjacent

(Hypotenuse)^2 = (Opposite)^2 + (Adjacent)^2

or, (Adjacent)^2 = (Hypotenuse)^2 - (Opposite)^2

or, (Adjacent)^2 = 13^2 - 12^2

or, (Adjacent)^2 = 169 - 144

or, (Adjacent)^2 = 25

or, Adjacent = 5

So, tan(θ) = 12/5

Hope this will help. Please mark me brainliest.

Answer:

$45

Step-by-step explanation:

[tex]180 \times 25\%[/tex]

[tex]180 \times \frac{25}{100} [/tex]

[tex] \frac{18 \times 25}{10} [/tex]

[tex] \frac{450}{10} [/tex]

[tex]45[/tex]

Answer:

The cost of the car is $ RS 308,000.

Step-by-step explanation:

Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:

100 - 12 = 88

88/100 = 0.88

350,000 x 0.88 = X

308,000 = X

Therefore, the cost of the car is $ RS 308,000.

Answer:If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional

Step-by-step explanation:

umm...... No because 1 haven't give any semester

Answer:

x = 11

Step-by-step explanation:

(7x + 5)° = (3x + 19)° + (2x + 8)°

7x + 5 = 5x + 27

2x = 22

x = 11

Answer:

here wo go with the answerrrrrrrrrrr

Answer:

(a) [tex]10\frac{13}{35}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2\frac{4}{7} }+ \frac{1}{8\frac{4}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{1}{\frac{18}{7} }+ \frac{1}{\frac{44}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{18}{7} + \frac{44}{5} + {\frac{3}{7}[/tex]

[tex]\frac{40+308+15}{35}[/tex]

[tex]\frac{363}{35}=10\frac{13}{35}[/tex]

Step-by-step explanation:

The volume of a cube is the edge³, so to find the edge, you need to calculate the cubic root of it:

[tex] \sqrt[3]{ \frac{1}{8} } = \frac{1}{2 } [/tex]

Answer:

1) y = 3/2 x +½

Step-by-step explanation:

y-2 = 3/2(x-1)

y = 3/2x -3/2 +2

y = 3/2x +½

Answer:

Each game cost $ 7.

Step-by-step explanation:

Given that the value $ 42 included rental of shoes at $ 3.50 per pair, knowing that Patrick bowled 2 games, and Cameron bowled 3 games, to determine how much did each game cost the following calculation must be performed:

(42 - (2 x 3.50)) / (2 + 3) = X

(42 - 7) / 5 = X

35/5 = X

7 = X

Therefore, each game cost $ 7.

Answer:

Charlie would be 11

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Create proportional relationship to solve for Kevin's age

Let k = Kevin's age

2/3 = 8/k

Now solve for k

Cross multiply

24 = 2k

Divide both sides by 2

12 = k

If charlie is 8 then Kevin is 12

Answer:

10

Step-by-step explanation:

3x + 5y

Let x= -5 and y =5

3(-5) + 5(5)

Multiply first

-15 +25

Then add

10

Answer:

B because when at B angels are the same qnd A and c are also same

Answer:

x = 5.5

Step-by-step explanation:

From rectangle KLMN, KM = 6x + 16, LN = 49

Find x

It can be seen that KM and LN are both equal diagonals in the rectangle.

Therefore,

KM = LN

6x + 16 = 49

6x = 49 - 16

6x = 33

Divide both sides by 6

x = 33/6

x = 5.5

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is :  8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation:

Answer:

5 feet

Step-by-step explanation: