What is the balance point for the following data set? 19 80 15 20​

Answer:

Step-by-step explanation:

Measure of inner angle of the n-sided polygon is

[tex]\frac{180(n-2)}{n}[/tex]

~~~~~~~~~~~~~~

m∠PQR = [tex]\frac{180(10-2)}{10}[/tex] = 144°

PQ = QR ⇒ m∠QPR = m∠QRP

m∠PRQ = ( 180° - 144° ) ÷ 2 = 18 °

Answer:

∠PRQ = 18°

Step-by-step explanation:

Sum of interior angles of a polygon = (n - 2) × 180°
(where n is the number of sides)

Interior angle of a regular polygon = sum of interior angles ÷ n
(where n is the number of sides)

Given:

⇒ Sum of interior angles of a polygon = (10 - 2) × 180° = 1440°

⇒ Interior angle of a regular polygon = 1440° ÷ 10 = 144°

Therefore, as PQ and QR are the sides of the polygon, ∠PQR = 144°

Sum of interior angles of a triangle = 180°

⇒ ∠PQR + ∠RPQ + ∠PRQ = 180°

⇒ 144° + ∠RPQ + ∠PRQ = 180°

⇒ ∠RPQ + ∠PRQ = 36°

As the polygon is regular, PQ = QR which means that ΔPQR is isosceles.

Therefore, ∠RPQ = ∠PRQ

⇒ ∠PRQ = 36° ÷ 2 = 18°

Answer:

y = x - 1

Step-by-step explanation:

First find the slope. Subtract the y's and put that on top of a fraction. Then subtract x's and put that on the bottom. Simplify if possible.

7-1 is 6 goes on top.

8-2 is 6 goes below.

6/6 is 1 when simplified.

Slope is 1.

Slope-intercept form is y = mx + b.

m is slope, so fill that in.

y = (1)x + b

Now we need to find b.

Use either one of the given points; they will give you the same answer no matter which one you choose. Let's use (2,1) because smaller numbers.

y is 1 and x is 2.

y= (1)x + b

1 = (1)2 + b

1 = 2 + b

-1 = b

Now fill in both m and b. Leave x and y as letters (variables)

y = (1)x + -1

Final answer:

y = x - 1

Answer:

100

Step-by-step explanation:

Since l and r Parrell lines that means the measure of 4 is 80 since there vertical angles. And then  1 and 4 needs to be supplementary which means the two angles combined equals 180. so 180-80=100

so 1s angle measure is 100

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = -1   and  c= 3

continu ..........

Answer:

Step-by-step explanation:

BF is the angle bisector of ∠B.

Answer:

Pill 1 costs 25e, and pill 2 costs 75e. Complete parts a and below. An a. How many of each pill should he buy in order to minimize his cost? What is the minimum?

Step-by-step explanation:

The semi-annual net cash flow the company must achieve in order for the purchase to be made is $2500.

Number of period = 6 × 2 = 12

Rate = 4% / 2 = 2%

Annual cash flow × PVIFA × (2% × 12) + $7500 × PVIF(2%,12) - $32348 = 0

Annual cash flow × 10.5753 = $32348 - $7500 × 0.7885

Annual cash flow × 10.5753 = $32348 - $5914

Annual cash flow × 10.5753 = $26434

Annual cash flow = 26434/10.5753

Annual cash flow = $2500

Learn more about cash flow on:

https://brainly.com/question/735261

Answer:

A. Directions: Encircle the letter of the correct answers

Step-by-step explanation:

1.the I in resign sounds like the I in.

A. hit B. High

Answer:

Tails Tails Heads

Heads Tails Heads

Tails Heads Tails

Heads Heads Tails

Tails Tails Tails

Heads Heads Heads

Tails Tails heads

Heads Tails Tails

------------------------------------------------——------------------------------------------------------

Thanks!

Always keep more than 2 smiles so that you can share it to someone who doesn't have one. You happy! Me happy! EVERYONE HAPPY!!!!

Have a great day!

:D

Answer:

Graph A is the answer

Step-by-step explanation:

The width of the origin is equal to 3 and the slope is 1

Answer:

Step-by-step explanation:

the answer is correct  so good job ok

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                               North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Hamilton, NY Population:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                             Basel         Heights       Dagonal      Total

Population            13,244        30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Gotham City Population:

Number of seats = 16 seats

                             North         South         East         West      Total

Population               785          1,125         1,950        415       4,275

Proportion            18.36%      26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

Learn more about the quota system at brainly.com/question/12105335

Answer:

1/7 and 1/2

Step-by-step explanation:

The probability of orange marble is 1/7

Probability of tails is 1/2

If you need to add this, then it'll be 1/14

7 x 2 = 14

1 x 1 = 1

[tex]3b+b=4b\\\\2(2b)=4b\\\\[/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]5 \frac{5}{14} [/tex]

Step-by-step explanation:

[tex]3 \frac{5}{7} + 1 \frac{9}{14} [/tex]

Turn them into improper fractions

[tex] \frac{26}{7} + \frac{23}{14} [/tex]

[tex] \frac{2}{2} \times \frac{26}{7} + \frac{23}{14} [/tex]

[tex] \frac{52 + 23}{14} [/tex]

[tex] \frac{75}{14} [/tex]

Turn it into a mixed fraction

[tex]5 \frac{5}{14} [/tex]

Answer:

t = 2

Step-by-step explanation:

The perimiter is the lenth of the out side of the square. Sense we know its a square we know that the side lenth are all the same and sense we have 4 sides we would have to devide 8 by 4

8/4

which equals

t=2

Answer:

Step-by-step explanation:

Perimeter of square:

Perimeter = 4*side

[tex]\boxed{Side =\dfrac{Perimeter}{4}}[/tex]

[tex]t=\dfrac{8}{4}[/tex]

t = 2 yards

Answers:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

1. use multiplication, 6*5=30

2. use division, 56/8=7

hope this helped! ♡

Answer:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

Answer:

24x8+3+9=$44,839 a month

Step-by-step explanation:

Answer:

11/5mi or 2.2mi

Step-by-step explanation:

1/2 +3/5 +11/10 =11/5mi

Hey there!

0.5 + 0.6 + 1.1 = 2.2

Total miles = 2.2mi

Answer:

Probability is 89.99%

Step-by-step explanation:

divide 252 by 2518 and you get 10.01% but that represents the people who did make the gesture so instead you would minus 252 from 2518 and that would be 252 - 2518 = 2266 then you would divide 2266 by 2518 and you get 2266/2518 = 0.8999 which is equal to 89.99%

Answer:

y = - x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line

m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - x + 9 ← equation of line

Answer: 377.36cm^2

Step-by-step explanation:

1. find proper equation. to find the volume of any three dimensional cube or box, use: length * width * height

2. plug in given numbers into the equation: 8.9cm * 4cm * 10.6* which gives us our answer, 377.36cm^2

hoped this helped! ♡

Answer:

B. 4

Step-by-step explanation:

To undo multiplication (which is what is being asked of us) you must divide. 28 divided by 7 is 4

so

4 x 7 is 28

If Brianna is taking care of 7 chickens, Tamara is taking care of 4 times the number of chickens because she is taking care of 28

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:lateral \: surface \: area = \pi rl[/tex]

[tex]\qquad \sf  \dashrightarrow \:la = \pi12 \times 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:la =180 \pi[/tex]

Therefore, the lateral surface area of cone = 180 pi in²

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer:

Step-by-step explanation:

B(0, -14) ⇒ x₁ = 0 & y₁ = -14

F(4,6) ⇒  x₂ = 4 & y₂ = 6

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{1}+y_{2}}{2} \right)[/tex]

                [tex]=\left(\dfrac{0+4}{2},\dfrac{-14 + 6}{2}\right)\\\\\\= \left(\dfrac{4}{2}, \dfrac{-8}{2} \right)\\\\\\=\left(2, -4 \right)[/tex]