X+4 x+1
Write an equation to determine the value of x so that each pair of polygons has the same perimeter. Then solve

The requried equation of the diagonals for which WXYZ will be rhombus is y = -x + 12 and y = x + 12.

A rhombus is a parallelogram with all sides of equal length. This means that the diagonals of a rhombus bisect each other at right angles.

Let's first find the length of the diagonals of rhombus WXYZ using the distance formula:

WY = \(\sqrt{[(9-1)^2 + (11-3)^2]]}\) = 8√2

Since the diagonals of a rhombus bisect each other at right angles, we can use the midpoint formula to find the midpoint M of the diagonal WY:

Midpoint M = ((1+9)/2, (3+11)/2) = (5, 7)

The slope of the line passing through W and Y is:

slope WY = (11-3)/(9-1) = 8/8 = 1

Therefore, the slope of the line perpendicular to WY is -1/1 = -1.

Using the point-slope form with point M and slope -1, we get:

y - 7 = -1(x - 5)

y = -x + 12

So, the equation of the line passing through M with a slope perpendicular to the line passing through W and Y is y = x + 12 equation for XZ will be the same but the slope will be +1 so the equation is y = x + 1.

Learn more about rhombus here:
https://brainly.com/question/12665650
#SPJ1

Answer:

Step-by-step explanation:

These are the factors

Hope this helps,

Kavitha

P.S - Have an awesome day!!

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

Answer:

3) 50 in²

4)  85 cm²

Step-by-step explanation:

The given figure is composed of 2 triangles, each with a base of 10 inches and a height of 5 inches.

The area of a triangle is half the product of its base and height.

Therefore, the area of the composite figure can be calculated as follows:

\(\begin{aligned}\textsf{Area of compositie figure}&=\sf Area_{Triangle\;1}+Area_{Triangle\;2}\\\\&=\dfrac{1}{2} \cdot 10 \cdot 5 + \dfrac{1}{2} \cdot 10 \cdot 5\\\\&=5\cdot 5+5\cdot 5\\\\&=25+25\\\\&=50\; \sf square\;inches\end{aligned}\)

Therefore, the area of the composite figure is 50 square inches.

\(\hrulefill\)

The given figure is composed of a rectangle with width of 6 cm and length of 10 cm, and a triangle with base of 10 cm and height of 5 cm.

The area of a rectangle is the product of its width and length.

The area of a triangle is half the product of its base and height.

Therefore, the area of the composite figure can be calculated as follows:

\(\begin{aligned}\textsf{Area of compositie figure}&=\sf Area_{Rectangle} + Area_{Triangle}\\\\&=6 \cdot 10+\dfrac{1}{2} \cdot 10 \cdot 5\\\\&=60+5 \cdot 5\\\\&=60+25\\\\&=85\; \sf square\;centimeters\end{aligned}\)

Therefore, the area of the composite figure is 85 square centimeters.

No graph for the function shown above that corresponds to the given inequalities and equations.

To find the graph of the function, we need to follow these steps:
1. Identify the given function: f(z) = 4 + 1/2.
2. Find the function's corresponding equation for each given inequality or equation.
For the given inequalities and equations:
a) 2z + 4:
  Replace f(z) with 2z + 4:
  2z + 4 = 4 + 1/2
b) -z + 5:
  Replace f(z) with -z + 5:
  -z + 5 = 4 + 1/2
c) z≤ 2:
  The inequality remains the same as it involves the variable z directly.
d) -2 <=< 2:
  This is a typo and should be ignored.
e) 2 ≤z:
  The inequality remains the same as it involves the variable z directly.
3. Solve the equations obtained in step 2 for z:
a) 2z + 4 = 4 + 1/2:
  2z = 1/2 - 4
  2z = -7/2
  z = -7/4
b) -z + 5 = 4 + 1/2:
  -z = 1/2 - 5
  -z = -9/2
  z = 9/2
4. Check if the solutions found in step 3 satisfy the inequalities obtained in step 2:
a) z = -7/4:
  This value satisfies z≤ 2 as -7/4 ≤ 2, but it does not satisfy 2 ≤z.
b) z = 9/2:
  This value satisfies 2 ≤z as 9/2 ≥ 2, but it does not satisfy z≤ 2.

For similar question on inequalities.

https://brainly.com/question/30239213

#SPJ11

Answer:40

Step-by-step explanation:

Answer:

B. 40

Step-by-step explanation:

aapeexxxxxab

Answer:

C. It is an angle that has its vertex at the center of a circle.

Step-by-step explanation:

That's the definition.

A. is wrong. An angle with a measure greater than 180° is an obtuse angle,

B. is wrong. An angle that has its vertex on the circle is an inscribed angle.

D. is wrong. Part of the circumference of a circle is an arc.

Answer:

see explanation

Step-by-step explanation:

vertical angles are angles on the opposite side at a vertex of 2 lines.

1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles

supplementary angles sum to 180°

adjacent angles on a straight line sum to 180°

1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.

Answer:157.5

Step-by-step explanation:becuase mutilpy 4.5x35 that equals 157.5

Answer:

Amanda buy first kind of pen = 3

Amanda buy second kind of pen = 2

Amanda buy third kind of pen = 15

Step-by-step explanation:

Given - Amanda went to the store to purchase ink pens. She found three    

            kinds of pens. The first cost $4 each; the price of the second kind

            was 4 for $1; and the cost for the third kind was 2 for $1. She bought

            20 pens and she bought at least one of each kind. (It is possible to

            buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was

            $20.

To find - When she got back to her office, Amanda decided to turn this into

              a math problem for me. She asked: how many of each kind did I

              buy?

Proof -

Let Amanda buy first kind of pen = x

                      second kind of pen = y

                           third kind of pen = z

As given,

She bought total pen = 20

⇒x + y + z = 20          ...............(1)

Now,

As given,

cost for first kind pen = $4 for 1 pen

As she bought x pens of first kind , so

Cost of x pens of first kind = $4x

Now,

The price of the second kind was 4 for $1

⇒Cost of second kind = $\(\frac{1}{4}\) for 1 pen

As she bought y pens of send kind , so

Cost of y pens of second kind = $\(\frac{1}{4}y\)

Now,

The price of the third kind was 2 for $1

⇒Cost of third kind = $\(\frac{1}{2}\) for 1 pen

As she bought z pens of send kind , so

Cost of z pens of third kind = $\(\frac{1}{2}z\)

Now,

As given, The cost was $20

⇒4x + \(\frac{1}{4}y\) + \(\frac{1}{2}z\) = 20

⇒16x + y + 2z = 80             .....................(2)

∴ we get 2 equations

x + y + z = 20                   .....................(1)

16x + y + 2z = 80             .....................(2)

Now,

Subtract equation (1) from equation (2) , we get

16x + y + 2z  - ( x+ y + z )= 80 - 20

⇒16x + y + 2z - x - y - z = 60

⇒15x + z = 60

⇒z = 60 - 15x

Now,

Put the value of z in equation (1) , we get

x + y + 60 - 15 x = 20

⇒ y - 14x = 20 - 60

⇒y - 14x = -40

⇒14x - y = 40

⇒y = 14x - 40

Now,

we get

z = 60 - 15x

y = 14x - 40

As given

she bought at least one of each kind

it means x > 1, y > 1, z > 1

Now,

If x = 1, then y = 14 - 40 = -26

Not possible

If x = 2 , then y = 14(2) - 40 = -12

Not possible

If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15

Possible.

If x = 4,  then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0

Not Possible.

If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15

Not Possible.

∴ we get

x = 3, y = 2, z = 15

Amanda buy first kind of pen = x = 3

Amanda buy second kind of pen = y = 2

Amanda buy third kind of pen = z = 15

Step-by-step explanation:

\(( {1000)}^{4} = {10}^{x} \\ ({10}^{3})^{4} = {10}^{x} \\ {10}^{12} = {10}^{x} \\ therefore \: x = 12 \\ \\ hope \: it \: will \: help\)

cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

For more such quaetions on simplifies

https://brainly.com/question/29369267

#SPJ8

Step-by-step explanation:

f(x) = 3x² - 2x + 8 , x = 3

f(3) = 3.3² - 2.3 + 8

= 27 - 6 + 8

= 29

Answer:

20/7 dollars per hour

Step-by-step explanation:

He pays 10 dollars per 3 1/2 hours. To find the unit rate, we divide the two.

10 / (3 1/2) =

10 / (7/2) =

(10/1) x (2/7) =

20/7

Answer:

C. surface area of 5 rectangular prisms.

Step-by-step explanation:

The table in the given figure as shown above has a rectangular flat top that has a solid shape of rectangular prism.

It also has 4 legs that are also rectangular in shape. The legs are rectangular prisms.

To determine the quantity of paint Kimberly would need, she needs to make use of the surface area of the table.

The surface area of the table = surface area of the top + surface area of the 4 legs = surface area of 5 rectangular prisms.

Answer:

C

Step-by-step explanation:

Answer:

55% drop.

Step-by-step explanation:

To find this first divide 63 by 140 to get .45. Then multiply this value by 100 to get a value of 45%. Then you know that 55% is the amount dropped.

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

No a rhombus is not a rectangle

Step-by-step explanation:

Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

for such more questions on investigate

https://brainly.com/question/32310280

#SPJ8

Answer:

The answers are in the files

Step-by-step explanation:

have a good day!

9514 1404 393

Answer:

  y = 3x -8

Step-by-step explanation:

The point-slope form of the equation of a line can be a useful place to start.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +20 = 3(x +4) . . . . with given numbers filled in

  y = 3x +12 -20 . . . . eliminate parentheses, subtract 20

  y = 3x -8 . . . . . . . . slope-intercept form

Answer:

6

Step-by-step explanation:

try drawing 11-sided polygons. try to make one with more than 6 right angles. Good luck lol.

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

Learn more about Variable on

https://brainly.com/question/28248724

#SPJ1

If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

Answer:

The probability that exactly two have flaws is P (x=2) = 0.2376

Step-by-step explanation:

Here

Success= p= 0.15

Failure = q= 0.85

total number= n= 8

Number chosen = x= 2

Applying the binomial distribution

P (x=x) = nCx p^x(q)^n-x

P (x=2) = 8C2 0.15 ²(0.85)^8

P (x=2) = 0.2376

The success is chosen about which we want to find the probability. Here we want to find the probability that exactly two have flaws so success would be having flaws therefore p = 0.15

Answer:

6x-3y

6(5)-3(-1)

30+3

The answer is 33

Step-by-step explanation:

Brainliest please :)

answer: 27

6×5-3×1

30-3=27

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

for such more question on placement

https://brainly.com/question/16927451

#SPJ8

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

for more search question income

https://brainly.com/question/30157678

#SPJ8

There is a local maximum at the point (-1,6), therefore, for x = -1

A function is a mathematical statement that builds relation between a dependent and an independent variable.

The value of x and y is

x         y

-4        16

-3          -2

-2          0

-1           6

0           0

1           -2

Near a maxima on either side , the value is smaller than the maxima

The function has smaller values than 6 to the left of x = -1, and to the right of it:

Value of function to the left of the maxima

(-3, -2), (-2, 0)

Value of function to the right of the maxima

(0, 0), and (1, -2)

therefore,  (-1, 6) is a maximum,  for x = -1.

To know more about Function

https://brainly.com/question/12431044

#SPJ1

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

Learn more about the income statement at https://brainly.com/question/28936505.

#SPJ1