Unit 7: Polygons & Quadrilaterals
Homework 3: Rectangles
a 2-page document! **
Answers
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
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
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
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.
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
which box-and-whisker plot represents this data 5,8,4,2,5,9,7,12,4,3
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Answer:
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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°
Use the GCF to factor: 30r - 27g
Answers
Answer:
3(10-9g)
Step-by-step explanation:
factor is 3 out of 30-27g
(-4)^6 (-4)^5 into a single power
Answers
[tex] \huge { - 4}^{11} [/tex]
Round 0.589 to the nearest hundredth
A. 0.59
B. 0.6
C. 0.58
D. 1
Answers
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.
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
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Answers
Answer:
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Step-by-step explanation:
6p+23 95
6(12)+23 95
95=95
Brainliest? :o
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
6,782.4 round nearest whole number
Answers
Answer: 6,782
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Answer:
6780
Step-by-step explanation:
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
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:not sure the steps but my teacher gave the answers out
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Answers
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Answers
Answer:
27/28
Step-by-step explanation:
2/7 - x =5/4
-2/7 -2/7
x=27/28
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Answers
Answer:
3
Step-by-step explanation:
5-2=3
Answer:
Bryan has 3 apples left
Step-by-step explanation:
5-2=3
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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
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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:
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Step-by-step explanation:
What is the area with the length of 5/8 ft and a width of 4/9 ft
Answers
Answer:
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Answers
Answer:
13
Step-by-step explanation:
3(2)(2) -4(2)+9
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Answers
Answer:
Step-by-step explanation:
The hypotenuse is 200 meters.
The angle making the ground and the Hypotenuse is 7 degrees.
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Cos(7) = x / 200 Multiply both sides by 200
200*cos(7) = x
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Answer:
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Step-by-step explanation:
Since the two given angles are vertical angles, we know (5x) = 65.
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1.π
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3. 3π
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Answers
Answer:
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Answer:
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Answers
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:
-6x+6y= -24
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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.)
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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.