Find the sum of the interior
angles of a regular nonagon
(9-sided figure).

Answer:

The missing length is 12

Step-by-step explanation:

Required

Determine the missing length (LS)

If RS = 28 and KS = 14

Then

[tex]KR = RS - KS[/tex]

[tex]KR = 28 - 14[/tex]

[tex]KR = 14[/tex]

The sides of the given shape are directly proportional.

This implies that:

[tex]KS : LS = RS : QS[/tex]

[tex]KS = 14[/tex]

[tex]RS = 28[/tex]

[tex]QS = 12 + LS[/tex]

[tex]LS = ??[/tex]

So, the expression becomes:

[tex]14 : LS = 28 : 12 + LS[/tex]

Represent as a fraction

[tex]\frac{14}{LS} = \frac{28}{12 + LS}[/tex]

Cross Multiply:

[tex]14(12 + LS) = 28 * LS[/tex]

Divide through by 12

[tex]12 + LS = 2 * LS[/tex]

[tex]12 + LS = 2 LS[/tex]

Collect Like Terms

[tex]2LS - LS = 12[/tex]

[tex]LS = 12[/tex]

The length of the missing side is 12

Answer:

y=3x-7

Step-by-step explanation

Subtracted 3x, then divided by -1, made the 7 negative and the 3x positive

Answer:

The answer is d

Step-by-step explanation:

I used a calculator and i just took away 5.00 from 24.80(which is 19.8) then added all the other numbers to 19.8

Answer:

I think there might be more to this question, but the answer I have is

3x + 50 > 80

Step-by-step explanation:

If he has 50 points, needs higher than 80 points to advance to the intermediate level and receives 3 points for every puzzle he solves correctly, he must multiply the 3 by something to add to 50 to get a total amount higher than 80. Thus, 3x + 50 > 80 is the appropriate answer. Have a good day!

Answer:

the answer is 50x + 3 >80

Step-by-step explanation:

Answer:

Option A: The subjects are numbered 1–50 and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the current model.

Step-by-step explanation:

We are told that Twenty - five runners will receive a pair of the new model and the remaining 25 will receive a pair of the current model.

Now, a completely randomized design is defined as one where the treatments will be assigned completely at random in such a manner that each experimental unit will posses the same chance of receiving any of the treatments given.

To this effect, the most likely answer will be picking people at random to assign either the new model or current model.

This is usually done by making a list of the treatment combinations and then assigning a random number to each subject.

Looking at the options, the most appropriate will be option A.

If Adam and Simon start on bicycle trips from the same point at the same time and Adam travels east at 8mph and Simon travels south at 6mph then after 4.28 hours the distance between them is 60 miles.

Speed is the distance an object covers in a particular time period. It can be calculated as under:

Speed=Distance/ Time.

We have been given the speed of Adam and Simon as 8 mph and 6 mph and we are required to find the time taken by both to be 60 miles apart.

Time=Distance/speed

We cannot find individually but we can find the average time.

Time=60/(6+8)

=60/14

=2.28 hours

Hence if If Adam and Simon start on bicycle trips from the same point at the same time and Adam travels east at 8mph and Simon travels south at 6mph then after 4.28 hours the distance between them is 60 miles.

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Answer:

70 degrees

Step-by-step explanation:

Answer:

if I'm supposed to solve for P, the answer is 50

Step-by-step explanation:

1/2p-10=15

1/2p=25, subtraction property of equality

p=50, multiplication property of equality

therefore, P is equal to 50

Summing complex numbers is easy: you just sum the real parts together and the imaginary parts together:

[tex](a+bi)+(c+di)=(a+c)+(b+d)i[/tex]

So, you have

[tex](4 - 2i) + (12 + 7i) = (4+12)+(-2+7)i = 16+5i[/tex]

Answer:

12502 cards

Step-by-step explanation:

Given:

» total of 70707070 cards of the deck

» 15151515 cards were taken and put in a pile

Solve:

1. So, you can subtract 15151515 from 70707070 to find how many cards are left:

70707070 - 15151515 = 55555555

2. Now, there are 55555555 cards remaining in the deck since 15151515 cards were taken to put in a pile. Since the dealer deals the remaining cards to 4444 people, you can just do 55555555 divided by 4444 to find how many cards each person gets:

55555555 ÷ 4444 = 12501.25

3. 12501.25 is the exact number of cards each person gets, but you can’t have a fraction/part of a card. You have to find a specific remaining number:

0.25 is the same as [tex]\frac{1}{4}[/tex], and so convert [tex]\frac{1}{4}[/tex] into a fraction with a denominator of 4444, but is still equivalent to [tex]\frac{1}{4}[/tex]: You’ll get [tex]\frac{1111}{4444}[/tex], which is correct because it’s still equivalent to [tex]\frac{1}{4}[/tex]

4. So, the remaining 55555555 cards divided by 4444 people is 12501 cards and a remainder of 1111 cards. The 1111 cards can be distributed upon the players, but not everyone can get it. Since 12501 were to given to the players and after the remaining 1111 were also distributed, this means that some will have 12501 cards and others will have 12502 cards.

Answer: So, the greatest number of cards any player will have after all the cards are dealt is 12502 cards.

Answer:

[tex]80 - 4x^2[/tex]

Step-by-step explanation:

Area of a rectangle

A rectangle of width W and length L has an area of:

A = W.L

The given rectangle has a length of L=10 inches and a width of W=8 inches, thus its area is:

A = 8*10 = 80

[tex]A = 80\ in^2[/tex]

If each corner is cut by a square of x*x, then the total area will be:

[tex]A' = 80 - 4x^2[/tex]

The new area is [tex]\mathbf{80 - 4x^2}[/tex] square inches

Answer:

Cos²(45°—A) + cos²(45°+A)

= [2 cos²(45°—A) + 2 cos²(45°+A)] /2

= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2

= [cos2(45°—A)+cos2(45°+A)+2]/2

= [cos(90°—2A)+cos(90°+2A)+2]/2

= (sin2A—sin2A+2)/2

= 2/2

= 1

Answer:

This is not a linear function.

Step-by-step explanation:

It is a quadratic function.  If you were to make a table of the x and y values of the function it would look like this:

x    y

0   -4

1   -1

2    8

Just by looking at these three values, we can see that they do not increase at a consistent rate.  It increases by 3 from 0 to 1, but increase by 9 from 1 to 2.  You can tell if a function is linear by seeing if it increases at a constant rate.  (In this case it does not)

Answer: The domain has to be x and the range y. But for independent and dependent variable I can't help. So srry. The picture doesn't show the work. Have a nice day :)

Answer:

y = -49

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-7 = y/7

Step 2: Solve for y

Answer:

x = 100

Step-by-step explanation:

1. To get rid of the denominator of 5, multiply both sides of the equation to get 5

-40 + x = 60

2. Add 40 on both sides to get the variable x by itself

x = 60 + 40

3. Solve

x = 100

Answer:

x=100

Step-by-step explanation:

-8+x/5=12

--8+x/5=12+8

x/5=20

5*20=100

x=100

Answer: 20 by 16

Step-by-step explanation:

5:4 OR 5x:4x

Perimeter = 2(l x w)

P = 2(5x x 4x)

P = 10x + 8x = 18 x

18x=72

x=4

5 x 4 = 20

4 x 4 = 16

12.21%

In his bowling league last year he averaged 115. not his average is 131. so the average increases by 12.21% because the rest are two high because this is a percentage

Answer:

A. 12.21

Step-by-step explanation:

The required value of x is 40 which is determined by the substitute that equals the vertical angles.

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

As per the given accompanying diagram, lines AB and CD intersect at point E.

Since ∠AED and ∠BEC are vertical angles then they are congruent, thus

⇒ ∠AED = ∠BEC

⇒ (x + 10) = 50

Subtract 10 from both sides of the above equation,

⇒ x + 10 - 10 = 50 - 10

⇒ x = 40

Thus, the required value of x is 40.

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Answer:

BC = 18.385

Step-by-step explanation:

You can look at ABC as a right triangle and use the Pythagorean theorem to solve for BC. 26 squared is 676, 676 divided by 2 is 338, and finally the square root of 338 is 18.385. This is the length of BC and AB as well. Hope that helped

Answer: aprox 18.38

Step-by-step explanation:

you have a AC=, which is the hypothenuse of the right triangle, and isosceles

ABC

AB=BC, sides of  a square

remember c^2=a^2+b^2 but and b are equal so we can say

c^2= 2a^2

c=a[tex]\sqrt{2}[/tex],  26/[tex]\sqrt{2}[/tex]=a

a=(26[tex]\sqrt{2}[/tex])2=18.38

Answer:

v^2-10v+2

Step-by-step explanation:

(v^3-2v^2-78v+16) /(v+8)

Factor

(v+8)(v^2-10v+2)/(v+8)=v^2-10v+2

Answer: (A), (B) and (E).

Step-by-step explanation: Given that ΔA’B’C’ with coordinates of A(-6,2),B’(-4,2), and C’(-6,-2) is the image of ΔABC after a translation of (x-3,y+2). We are to find the possible coordinates for the original vertices of ΔABC.

For vertex A, we have

So, the coordinates of vertex A are (-3, 0).

For vertex B, we have

So, the coordinates of vertex B are (-1, 0).

For vertex C, we have

So, the coordinates of vertex C are (-3, -4).

Answer:

We must prove that (c+a)(c+d) = (b+c)(b+d)

Rate positively and give brainlist

Answer:

(85.62, 90.38).

Step-by-step explanation:

The missing data  can be assumed to be we have the following information:

¯x =88, s=10,  n=70

Substituting the values in the following formula, we compute the 95% C.I for true population mean diastolic pressure as shown below:

95% C.I.=¯x±t(0.95,n−1)⋅Sm=¯x±t(0.95,70−1)⋅s√n=88±1.99⋅10√70=(85.62,90.38)

The answer is (85.62, 90.38).

Answer: No Jason is not orrect the anwser is 103.4 x 5= 517

Step-by-step explanation:

ok so first you have to multiply 103.2 times 5 but that gives you 516 so the correct anwser is 103.4 x 5 = 517

Answer:

(-5,-4)x=45

Step-by-step explanation:

Answer:

-450

Step-by-step explanation: