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
The measures of the angle of a triangle is shown in the figure below solve for X
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Use the GCF to factor: 30r - 27g
Answers
Answer:
3(10-9g)
Step-by-step explanation:
factor is 3 out of 30-27g
-6x+6y= -24
-6x+9y= −45
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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.
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
6,782.4 round nearest whole number
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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:
Round 0.589 to the nearest hundredth
A. 0.59
B. 0.6
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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.
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
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?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
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
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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
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
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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 = 20/3Grandma 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
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°
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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
We simply applied the above formula so that the amount owe the bank could come
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Answers
Answer:
They are equal, its the equal sign
Step-by-step explanation:
6p+23 95
6(12)+23 95
95=95
Brainliest? :o
(-4)^6 (-4)^5 into a single power
Answers
[tex] \huge { - 4}^{11} [/tex]
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
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2.2π
3. 3π
4. 4π
Answers
Answer:
Period is for a complete oscillation
[tex]period = 4\pi[/tex]
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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.
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)
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:
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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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
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
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y-76=x
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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.
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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
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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 ?
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Answers
Answer:
.0025%
Step-by-step explanation:
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Answers
Answer:
j
Step-by-step explanation:
Answer:
117
Step-by-step explanation:not sure the steps but my teacher gave the answers out
Tom has a cube, a rectangular prism,and a traiangular prism. Which of his shapes has MORE than 6 verticles