Mathematics High School

Unit 7: Polygons & Quadrilaterals
Homework 3: Rectangles
a 2-page document! **

Unit 7: Polygons & QuadrilateralsHomework 3: Rectanglesa 2-page Document! **

Answers

Answer 1

Answer:

VW = 31

WX = 19

YW = [tex]\sqrt{1322}[/tex]

ZX = ([tex]\sqrt{1322}[/tex]) / 2

VX = [tex]\sqrt{1322}[/tex]

Step-by-step explanation:

[tex]YW^{2}[/tex] = [tex]19^{2}[/tex] + [tex]31^{2}[/tex]

[tex]19^{2}[/tex] + [tex]31^{2}[/tex] = 1322

ZX = YW/2 = VX/2

Answer 2

 Measures of the different sides of the rectangle will be,

YX = 31 units

WX = 19 units

VW = 36.36 units

ZX = 18.18 units

VX = 36.36 units

Quadrilateral VWXY is a rectangle.

Properties of a rectangle,

Opposite sides of a rectangle are equal.Diagonals of a rectangle bisect each other.Diagonals are equal in measure.

YX = VW = 31 units

VY = WX = 19 units

By applying Pythagoras Theorem in right triangle ΔWXY,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(WY)² = (WX)² + (XY)²

YW = [tex]\sqrt{19^2+31^2}[/tex]

      = [tex]\sqrt{1322}[/tex]

      = 36.36 units

ZX = [tex]\frac{1}{2}(YW)[/tex]

     = [tex]\frac{1}{2}(36.36)[/tex]

     = 18.18 units

VX = YW = 36.36 units

Learn more,

https://brainly.com/question/9655204

Related Questions

Find the Perimeter and Area of the rhombus.​

Answers

perimetr:216area:60        

Christina is making a necklace using beads. She has 20 red, 14 blue, 10 purple, 28 green, and 8 yellow beads. She randomly chooses a bead to start the necklace. What is the probability of Christina choosing a purple bead?

Answers

Answer:

10/70

Step-by-step explanation:

A group of hikers begins a trip with 30 pounds of food per hiker. They will eat a total of 12 pounds of food a day. If there are 7 hikers, which equation can be used to find y, the amount of food remaining after x days? F) y = 12x + 30 G) y = -7x + 84 H) y = 12x + 210 J) y = 30x-12

Answers

Given:

Food = 30 pounds of food per hiker.

Food consumption = 12 pounds of food a day.

No. of hikers = 7

To find:

The equation for the given situation.

Solution:

Let x be the number of days and y be the amount of remaining food.

Total amount is the product of number of hikers and food per hiker.

[tex]\text{Total food}=7\times 30[/tex]

[tex]\text{Total food}=210[/tex]

Food consumption of one day = 12 pounds

Food consumption of x days = 12x pounds

Now,

Remaining food = Total food - Food consumption of x days

[tex]y=210-12x[/tex]

[tex]y=-12x+210[/tex]

Therefore, the required equation is [tex]y=-12x+210[/tex].

Note: Option C is correct if there is -12 instead of 12.

A washer and a dryer cost $774 combined. The washer costs $76 less than the dryer. What is the cost of the dryer?

Answers

Answer:

The dryer costs 425 dollars

Step-by-step explanation:

x - washer

y - dryer

x+y=774

x=y-76

(y-76)+y=774

2y=774+76, 2y=850

y=425

y-76=x

425-76=x

x=349

As shown in the diagram below, quadrilateral WXYZ is inscribed in a circle and m∠WZY = 69 degrees

Find the m∠WXY

Answers

9514 1404 393

Answer:

  m∠WXY = 111°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  m∠WXY = 180° -m∠WZY

  m∠WXY = 180° -69°

  m∠WXY = 111°

The measures of the angle of a triangle is shown in the figure below solve for X

Answers

When having the whole triangle equal to 180 degrees you can see that x=10 in the equation hope this helps!!!

Find the slope of a line that passes through the given pair of points: (-3 , -1) and ( 2 , -1) .

Answers

Answer:

m=0

Step-by-step explanation:

m=y2-y1/x2-x1

m=-1-(-1)/2-(-3)

m=-1+1/2+3

m=0/5

m=0

Find m of angle NSR.

Answers

Answer:

j

Step-by-step explanation:

Answer:

117

Step-by-step explanation:not sure the steps but my teacher gave the answers out

An algebra class has 8 students and 8 desks. For the sake of variety, students change the seating arrangement each day. How many days must pass before the class must repeat a seating arrangement?

Suppose the desks are arranged in rows of 4. How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats ?

What is the probability that Larry, Moe, Curly and Shemp are sitting in the front seats? ​

Answers

Answer:

.0025%

Step-by-step explanation:

Tom has a cube, a rectangular prism,and a traiangular prism. Which of his shapes has MORE than 6 verticles

Answers

A cube and a rectangle prism both have 8 vertices
Both the cube and rectangular prism have 8 vertices, the triangular prism has 5

(-4)^6 (-4)^5 into a single power

Answers

[tex] \huge { - 4}^{11} [/tex]

Use the GCF to factor: 30r - 27g

Answers

Answer:

3(10-9g)

Step-by-step explanation:

factor is 3 out of 30-27g

6,782.4 round nearest whole number

Answers

Answer: 6,782

Step-by-step explanation: Since 4 is less than 5, you do not change the number resulting in the answer being 6,782

Answer:

6780

Step-by-step explanation:

What is the period of the function?

1.π
2.2π
3. 3π
4. 4π

Answers

Answer:

Period is for a complete oscillation

[tex]period = 4\pi[/tex]

2 / 7 - x = 5/4 what is the value of 'x'​

Answers

Answer:

27/28

Step-by-step explanation:

2/7 - x =5/4

-2/7      -2/7

    x=27/28

Bryan has 5 apples and gives away 2. How many apples does he have left ?



Answers

Answer:

3

Step-by-step explanation:

5-2=3

Answer:

Bryan has 3 apples left

Step-by-step explanation:

5-2=3

Challenge The bakery manager at the grocery store decides to have a 17% off sale on all bread.
You decide to purchase 7 loaves of bread. Let b be the original price of a loaf of bread. Expand the
expression 7(b-0.17b). What do the terms of the expansion represent?
Which expression represents the correct expansion?
OA. 7b - 1.19
OB. 7b + 1.19
OC. 7b - 1.19b
OD. 7b + 1.19b

Answers

Answer:

C

Step-by-step explanation:

7×b-7×0.17b

=7b-1.19b

C ........................

What is the area with the length of 5/8 ft and a width of 4/9 ft

Answers

Answer:

[tex]area \: = length \times width \\ = \frac{5}{8} \times \frac{4}{9} \\ = \frac{20}{72} \\ = \frac{10}{36} {ft}^{2} [/tex]

Hope this helps youCan I have the brainliest please?

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 55% with a standard deviation of 4%. The correct value of t* to construct a 90% confidence interval for the true mean % cacao is ________.

Answers

Answer:

t-value = 1.690

Step-by-step explanation:

We are given;

Sample size; n = 36

DF = n - 1

DF = 36 - 1

DF = 35

Confidence level = 90%

However, from the first table I attached, we see that the critical significance level of a 90% Confidence level is 0.05

Thus, in the second table, looking at a DF of 35 and significance level of 0.05, we have a critical t-value = 1.690

Jamie has a rectangular room in her home with a width of 8 feet and a diagonal distance of 17 feet. Find the total area of the room.

Answers

Step-by-step explanation:

8²+x²=17²

74+ײ=289

x²=225

Sq root both sides

x=15

15×8=120 Sq ft

which sign is this??

Answers

Answer:

They are equal, its the equal sign

Step-by-step explanation:

6p+23    95

6(12)+23   95

95=95

Brainliest? :o

-6x+6y= -24
-6x+9y= −45

Answers

Answer:

1. X- Intercepts(s) : (4,0)

X- Intercepts(s) : (4,0)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.) Y- Intercepts(s) :( 0, -5)

Step-by-step explanation:

To Find the X- Intercept Subsitute in 0 For Y solve for x. To find the y-intercept Substitute in 0 for x and solve for y.

Please Help and NO LINKS PLEASE
Three times the sum of two numbers is 15. One of the numbers is 9 more than one-third of the other number.
a. How can you use a system of equations to find the two numbers?
b. What are the two numbers? Show your work.

Answers

Answer:

8, - 3

Step-by-step explanation:

one number is x, the other is y

x  = 1/3y + 9

=> (1/3y + 9 + y) × 3 = 15

=> y + 27 + 3y = 15

=> 4y = 15 - 27

=> 4y = - 12

=> y = - 3

x  = 1/3(- 3) + 9 = 8

Miguel drives 200 meters up a hill that makes an angle of 7 degrees with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? (Only round your answer once)

Answers

Answer:

Step-by-step explanation:

The hypotenuse is 200 meters.

The angle making the ground and the Hypotenuse is 7 degrees.

The trig relationship needed is the cosine.

Cos(7) = x / 200        Multiply both sides by 200

200*cos(7) = x

200* 0.9925 = x

x = 198.51

The calculator held the actual answer of cos(7)

If f(x)=3x^2-4x+9, find the f(2)​

Answers

Answer:

13

Step-by-step explanation:

3(2)(2) -4(2)+9

12 -8 +9= 13

13


Well you will plug in 2 into x and it’ll give you 3(2)^2-4(2)+9 and when you work that out you get 3(4)-8+9 and then work that out and you’ll get 12-8+9 and then a final answer of 13

Mhanifa please help with this

Answers

Answer:

Use cross-multiplication to solve these

1) 6/2 = 4/p ⇒ 6p = 4*2 ⇒ p = 8/6 ⇒ p = 4/32) 4/k = 8/2 ⇒ 8k = 2*4 ⇒ k = 8/8 ⇒ k = 13) n/4 = 8/7 ⇒ n = 4*8/7 ⇒ n = 32/74) 5/3 = x/4 ⇒ x = 4*5/3 ⇒ x = 20/3

Daniel un préstamo al banco para invertir en su negocio familiar hasta el momento pagó una cuota de 31940 y otra de 42865 si el préstamo era de 100000 cuánto dinero todavía le debe Daniel al banco

Answers

Answer:

the money does daniel still owe the bank is $25,195

Step-by-step explanation:

The computation of the money does daniel still owe the bank is given below:

= Loan amount - fees charged - another fee charged

= $100,000 -  -$31,940 - $42,865

= $25,195

Hence, the money does daniel still owe the bank is $25,195

We simply applied the  above formula so that the amount owe the bank could come

which box-and-whisker plot represents this data 5,8,4,2,5,9,7,12,4,3

Answers

Answer:

pag times mo po sya tyaka download ka photo ma tsaka ma kipag up a9e

Round 0.589 to the nearest hundredth
A. 0.59
B. 0.6
C. 0.58
D. 1

Answers

The answer is a: 0.59.
The answer would be A. 0.59.

Tenths: .5
Hundredths: . 8
Thousandths: . 9

9 is more than 5 so you round up.

And the next number is 9.

Therefore, it would be 0.59.

please help! odfpfpsdfsdlfsdfnlkfn pleaseeeeee

Answers

Answer:

x = 13

Step-by-step explanation:

Since the two given angles are vertical angles, we know (5x) = 65.

Divide both sides by 5 : 5x = 65    and we get x = 13

                                             5

Other Questions
(1)/(4p)(x-h)^(2)+k=0 Multiply the equation by 4p. Explain how different values of k affect the number of zeros of the polynomial. Consider k > 0, k = 0, and k < 0. Assume p > 0. pls help 15 points Read the passage below from The Unseen Values.However we think of it, it is a dawning period and one whichin its scope and potentialpromises to dwarf much of what has gone before. Those who have given careful thought to the matter are convinced that while some caution is in order, the new era is not one to be approached with timidity, inhibited imagination or too much convention. Neither is there any point in trying to hold off the tempo of this oncoming age or, in any other way, to evade it.What is the most likely reason for the authors use of the word dawning in the passage above?To signify the bright future of space explorationTo represent the harsh reality that will soon be evidentTo highlight the unpredictable outlook for space explorationTo illustrate the enlightenment of scientists in the field If the motion of B is uniformly accelerated, at what time will both graphs haveexactly the same slope? Explain. select all of the words that represent the answer to a quadratic equation (there are 4 answers).-x intercepts-y intercepts-solutions-intersections-roots-zeros Identify the opportunity below that could enable an employee to commit fraud. Group of answer choices An employee's spouse loses her job. The company does not have a clear policies and procedures for the employee to follow. The employee is experiencing financial hardship. An employee is upset that he was passed over for a promotion. Direct materials and direct labor are 100% variable. Overhead is 70% fixed. An outside supplier has offered to supply the 70,000 units of RX5 for $20.00 per unit. Required: 1. Determine the total incremental cost of making 70,000 units of RX5. 2. Determine the total incremental cost of buying 70,000 units of RX5. 3. Should the company make or buy RX5 01:16:12What are the dimensions of the rectangle?A rectangle has an area of 40 square units. The lengthis 6 units greater than the widthO 8 by 510 by 411 by 913 by 7 Which of these career positions typically advise customers of the amount of money they need to support their families in case of death or to protect themselves in case of an emergency with their homes or cars?bank tellerinsurance agentfinancial managermortgage broker What is smaller? WHY?a Atom or Electron Find the surface area of the solid figure represented by the given net. 10cm squared 10cm squared 10cm squared 10cm squared 25cm squared 18AB has endpoint A(-2,3) and midpoint M(4,6).Find the coordinates (x, y) of B. Can someone please explain the area of a circle in the simplest way possible, no links Q4. (A) Change the voice of any FOUR of the following. i. The driver opened the door of the car. ii. They are buying this house. iii. We are not printing a new book. Question 25 of 25Use the table to identify values of p and g that can be used to factorx2 - - 4x - 12 as (x + p)(x + 9).g-62.-2.3-36p+q.-44.-11-44OA. -2 and 6B. -3 and 4C. 2 and -6D. 3 and -4 Which is the meaning of the Latin root "terra"?1.time2. earth3. end 4.sea Please help, due in 45 minutes.What is the value of the y-coordinate of the solution to the system of equations 2x + y = 8 and x - 3y = -3? A: -2B: 2C: 3D: -3 a plane was taking off from the local airport, as shown below by the illustration. what is a good estimate of the angle measurement that the belly of the plane is making with the runway on take off ? A.60 B.45 C.30 D.15 NEED HELPPPPPPPPPPPPP helpppppp plzzzzzzzzzzzzz can someone please help find the slope/rate of change on graph