Octagon Towers is an octagon-shaped condominium building in Miami, Florida. Assuming the base of Octagon Towers is a regular octagon, find the measure of each interior angle of the base of Octagon Towers.

Each interior angle measures ?

Answer:

24

Step-by-step explanation:

To find how old Mrs. Roberts was when her son was born, we first need to know both of their ages. I'm going to give Mrs. Roberts the variable m and her son the variable s.

Let's turn the two sentences about their ages into equations:

m=Mrs. Roberts and 3s= three times as old as her son

m=3s

m+s is the sum of their ages

m+s=48

Now substitute the first equation into the second one:

m+s=48

(3s)+s=48

4s=48

s=12

The son is 12 years old. Now substitute s into one of the equations to solve for the mother's age:

m=3s

m=3(12)

m=36

Mrs. Roberts is 36. Since they are asking how old she was when her son was born, we will subtract her son's age from her age, since she would be 12 years younger:

36−12=24

Mrs. Roberts was 24 when her son was born.

credit to CountryGirl on Socratic Q&A

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Answer:

  (b)  30

Step-by-step explanation:

The standard form of a quadratic is ...

  y = ax^2 +bx +c

For such a function, the axis of symmetry is ...

  x = -b/(2a)

Your quadratic function has a=-5, b=+300, so the axis of symmetry is ...

  x = -300/(2(-5) = 30

The peak of the curve is on the axis of symmetry. So, profit is maximized when 30 items are produced.

_____

Of course, a graphing calculator can display the maximum of the function easily.

Answer:

1., 3., and 4.

Step-by-step explanation:

It's C.  

Or how other people say it,

3 or –2.5 < –2

Answer:

$6

Step-by-step explanation:

$75 - $40 = $30

With $30, the maximum number of scarves you can get is 2.

$30 - $24 = $6

Hope that helps!

Step-by-step explanation:

$6

the max number of scarves she can get is 2

hope this helps

Answer:

7.76 × 10^8

Step-by-step explanation:

Answer:

i think i would be 1.94x10^8

Step-by-step explanation:

Perpendicular lines has negative reciprocal slopes.

"Negative reciprocal" is just a fancy way of

saying flip the fraction and change the sign.

So flipping the fraction gives us -3/2 and change the sign to get +3/2.

Answer:

I think it is 5 if I did it right

S

Answer:

B. Equilateral

It is an equilateral triangle

As we can see all sides are equal.

Equilateral Triangle

Step-by-step explanation:

Answer:

x and p equal 92 and y equals 88

First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.

RT=24

Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

The geometric mean of 32 and TS is 24, so set up equation.

2nd root or square root of 32*TS=24

32*TS=576

TS=18

QS=18+32=50

I hope this answer helped if you have any questions feel free  to ask me in the comments.

Answer:

x + 9.50 = 35

Step-by-step explanation:

The missing variable in this case is the number of dollars they spent on tickets. In total, combined the tickets and popcorn is equal to 35$,

We already know the amount they spent on popcorn.

X, the amount they spent on tickets + 9.50=35

Answer:

x = 18

Step-by-step explanation:

diagonals bisect each other so 12x = 216

x = 216/12

x = 18

Answer:

y=7x+6

Step-by-step explanation:

hope i helped

Answer:

You can't solve since there is no variables

The inequality from the question is true

Answer:

The complete square of the given quadratic equation

( x - 10)² = 67

The solution of the quadratic equation

  x = 18.2     and x = 1.8

Step-by-step explanation:

Step(i):-

Given that the quadratic equation

         x² - 20 x +33 =0

         x² - 2(10) x +(10)²-(10)²+ 33 =0

By using (a-b)² = a² -2ab + b²

       ( x - 10)² -100 +33 =0

         ( x - 10)² - 67 =0

        ( x - 10)² = 67

Step(ii):-

The complete square   (x - 10)² = 67

                                     x -10  = ±√67

                                    x -10 = ± 8.1853

                      x -10 = 8.2   and x -10 = -8.2

                      x = 10+8.2   and x = 10 -8.2

                      x = 18.2     and x = 1.8

Answer:

64 ft^2

Step-by-step explanation:

(x+7)(x-2)=90

x^2-2x+7x-14=90

x^2+5x-104=0

factor

(x+13)(x-8)=0

x=-13

x=8 ft original square side

area=8x8=64

Answer:

64 ft^2

Step-by-step explanation:

Answer:64 people

Step-by-step explanation: total no. of members=80

%decrease=20

20/100 x 80=16(people that left)

people rem.=80-16

Answer:

Step-by-step explanation:

coffee=c

cakes=d

c+2d=8

2c+3d=14

c=8-2d

2(8-2d)+3d=14

16-4d+3d=14

-d=-2

d=2

c+4=8

c=4

coffee=4 dollars each

cakes=2 dollars each

The price of coffee is $4 and price of slice of cake is $2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

One coffee and two slices of cake cost 8 dollars in total.

Two coffees and 3 slices of cake cost 14 dollars in total.

let the price of coffees sold be x

let the price of slices of cake sold be y

Then, the system of equations are

x+ 2y = 8

2x+ 3y = 14

On solving

2(8- 2y)+ 3y= 14

16 - 4y + 3y= 14

-y= -2

y= 2

and, x = 8- 2(2)= 8- 4= 4

Hence,  price of coffee is $4 and price of slice of cake is $2.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

[tex](f\circ g)(x)=6x+14[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]

And we want to find:

[tex](f\circ g)(x)[/tex]

This is equivalent to:

[tex]=f(g(x))[/tex]

Then by substitution:

[tex]=f(2x+6)=3(2x+6)-4[/tex]

Evaluate:

[tex]=f(g(x))=6x+18-4=6x+14[/tex]

Therefore:

[tex](f\circ g)(x)=6x+14[/tex]

Step-by-step explanation:

2/5 x 1/3 = 2/15 inches squared

Answer:

whegvrjrbel)hbrbeueuejneje

Answer:

Step-by-step explanation:

(-2 + 3)/(2 + 1) = 1/3 is the slope

Answer:

1.  (q² + 8) - (4q² + 1)

Simplify each term.

q²+8−4q²−1

Simplify by adding terms.

−3q²+7

2. (3x + 7x² - 6) - (5x² + x + 9)​

Simplify each term.

3x+7x²−6−5x²−x−9

Simplify by adding terms.

Tap for more steps...

2x²+2x−15

Step-by-step explanation:

Answer:

answer 1. 12. 2nd is 2. and 3rd is 14pq

hope it helps

Answer:

367meters

Step-by-step explanation:

220.2 = 0.6 * h

220.2/0.6 = 0.6 * h / 0.6

367 = h

367 meters

Answer:

We know that lines AB and CD are parallel because if you expand them, we know they will never touch.

Step-by-step explanation: