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

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Related Questions

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.

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

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

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

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?

Find the Perimeter and Area of the rhombus.​

Answers

perimetr:216area:60        

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

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

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]

Use the GCF to factor: 30r - 27g

Answers

Answer:

3(10-9g)

Step-by-step explanation:

factor is 3 out of 30-27g

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

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:

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:

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

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.

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

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

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

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!!!

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

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°

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

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 ........................

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

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

Answers

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

-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.

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

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:

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)

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