Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warrior's helmet. Which of the following are pairs of congruent segments? Check all that apply. A. PO and ON B. FR and NR C. NO and NM D. RC and RO E. DV and EW
Answers
Option (B) FR and NR, option (C) NO and NM, and option (D) RC and RO are correct.
What is congruence in geometry?The measurements of the sides and angles of two or more geometrical figures determine their congruence. For example triangle's size is determined by its three sides, and its shape is determined by its three angles.
We have:
The diagram represents an unfolded paper kabuto, a samurai warrior's helmet.
Unfolded paper can be seen in the provided figure. The sheet is square.
The diagonals, in this case, are FN and AK, and the midline is CM and OI. At point R, all of these lines converge.
FR ≅ NR
AO ≅ ON
RC ≅ RO
NO ≅ NM
DV ≅ HV
Thus, option (B) FR and NR, option (C) NO and NM, and option (D) RC and RO are correct.
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Related Questions
4. Write the equation of the line that passes through the points (3, 7) and (-1, 2)
in:
a. Point-slope form
b. Slope-intercept form
Answers
Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
Sector Area
angle of sector
360
tor) πr²
8 cm
Sector Area = [?] cm²
Round to four decimal places.
129°
8 cm
Answers
Answer: 72.0472
Step-by-step explanation:
[tex]A=\left(\frac{129}{360} \right)(\pi)(8^{2}) \approx \boxed{72.0472}[/tex]
Use the graph of the parabola to fill in the table
Answers
(a) The parabola opens downward.
(b) The axis of symmetry is at x = -2.
(c) The vertex is at (-2,0).
(d) The x-intercepts is (-2,0), and the y-intercept is at (0,-1).
Need help ASAP, will mark brainliest if you can check my answer:
Answers
According to the compound interest model, we find the following results: I) x ≈ 11.5 yr, C' = $ 101317.36, II) r ≈ 7.4 %, x ≈ 9.8 yr, III) C = $ 7626.38, x ≈ 8.6 yr, IV) r ≈ 6.5 %, C = $ 12801.61
How to determined all the variables associated with compound interest
Compound interest describes the capital gain in term of deposited capital and the consideration that such capital is increased continuously in time. The compound interest model is shown below:
C' = C · (1 + r/100)ˣ (1)
Where:
C - Initial capitalC' - Current capital r - Interest rate, in percentage.t - Time, in yearsThe doubling time (x) is the period needed for a capital to be doubled. It is described by the following expression based on (1):
x = (㏒ 2)/[㏒ (1 + r/100)] (2)
Now we proceed to calculate each missing variable:
Case I - Doubling time
x = (㏒ 2)/[㏒ (1 + 6.2/100)]
x ≈ 11.5
Case I - Current capital
C' = 75000 · (1 + 6.2/100)⁵
C' = 101317.36
Case II - Interest rate
[tex]r = 100\cdot \left(\sqrt [5] {\frac{7130.90}{5000} }-1\right)[/tex]
r ≈ 7.4
Case II - Doubling time
x = (㏒ 2)/[㏒ (1 + 7.3/100)]
x ≈ 9.8
Case III - Initial capital
C = 11414.71/(1 + 8.4/100)⁵
C = 7626.38
Case III - Doubling time
x = (㏒ 2)/[㏒ (1 + 8.4/100)]
x ≈ 8.6
Case IV - Interest rate
[tex]r = 100\cdot \left(\sqrt [11] {2 }-1\right)[/tex]
r ≈ 6.5
Case IV - Initial capital
C = 17539.32/(1 + 6.5/100)⁵
C = 12801.61
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In 2010, the amount in Raja's account was 40 Lakhs. He debited 8000 in 2011, and in 2012, he debited 2,07,000. In 2013, he credited 1,16,000, and in 2014 he credited 12,000. How much more he has to credit to be worth what it was at at the start of 2010
Answers
How much more he has to credit to be worth what it was at at the start of 2010 is: 3,657,000.
Additional credit amountFirsts step
Total amount debited=8,000+207,000
Total amount debited=215,000
Total amount credited=116,000+12,000
Total amount credited=128,000
Second step
Additional amount to credit:
40 Lakhs is 4,000,000
Hence:
Additional amount to credit=4,000,000- (215,000+128,000)
Additional amount to credit=4,000,000-343,000
Additional amount to credit=
Therefore how much more he has to credit to be worth what it was at at the start of 2010 is: 3,657,000.
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5. There are 2 boys and 3 girls in the class. The
ratio of boys to girls in the class is equal to all
of the following except
Answers
Answer:
9:12
Step-by-step explanation:
since the others are multiples of 2:3
but 9:12 is not a multiple
On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflection point at (0, 0), and goes through (3, 1.5). Function g (x) is 2 units to the left of f (x) and has an inflection point at (negative 2, 0).
The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?
g(x) = RootIndex 3 StartRoot x minus 2 EndRoot
g(x) = RootIndex 3 StartRoot x + 2 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1
g(x) = RootIndex 3 StartRoot x EndRoot–1
Answers
Using translation concepts, it is found that the equation that represents the graph of g(x) is:
[tex]g(x) = \sqrt[3]{x + 2}[/tex].
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:
[tex]f(x) = \sqrt[3]{x}[/tex][tex]g(x) = f(x + 2) = \sqrt[3]{x + 2}[/tex]More can be learned about translation concepts at https://brainly.com/question/4521517
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Answer:
The answer is B. On EDGE.2022
Step-by-step explanation:
Just did it
If f(1) = 2 and f(n) = f(n − 1)² + 4 then find the value of ƒ (3).
Answers
Answer:
f(3) = 68
Step-by-step explanation:
→ f(1) = 2 ⇒ f(2) = f²(2 − 1) + 4
= f²(1) + 4
= 2² + 4
= 8
………………………………………………
→ f(2) = 8 ⇒ f(3) = f²(3 − 1) + 4
= f²(2) + 4
= 8² + 4
= 64 + 4
= 68
Two trains going in opposite directions leave at the same time. Train B travels 5 mph faster than train A. In 3 hours the trains are 315 miles apart. Find the speed of each train
Answers
Answer:
Step-by-step explanation:
Simplify (27-17)^2-80
Answers
Answer:
-60
Step-by-step explanation:
A rectangular room is 1.2times as long as it is wide, and its perimeter is
30 meters. Find the dimension of the room.
The length is :
meters and the width is
___meters.
Answers
The length is 6.8 meters and the width is 8.2 meters.
How to determine the dimension of the room?Represent the length and the width with x and y
So, we have:
y = 1.2x
P = 2(x + y)
The perimeter is 30.
So, we have:
2(x + y) = 30
Divide by 2
x + y = 15
Substitute y = 1.2x
x + 1.2x = 15
This gives
2.2x = 15
Divide by 2.2
x = 6.8
Substitute x = 6.8 in y = 1.2x
y = 1.2 * 6.8
Evaluate
y = 8.2
Hence, the length is 6.8 meters and the width is 8.2 meters.
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Find the domain and range of the function graphed below. Answer in interval notation.
Answers
Answer:
Domain: [tex](-\infty, 8)[/tex]Range: [tex](-\infty, -3)[/tex]Step-by-step explanation:
The domain is the set of x values, and the range is the set of y values.
90ft×7ft requires1/2 ounces toof solution per square ft to clean.How much solution is necessary to clean floor
Answers
The amount of the cleaning solution is required to clean the hallway will be 315 ounces.
The complete question is given below.
A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot. How much cleaning solution is required to clean the hallway?
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot.
Then the amount of the cleaning solution is required to clean the hallway will be
Amount of cleaning solution = 1/2 × area of hallway
Amount of cleaning solution = 0.5 × (90 × 7)
Amount of cleaning solution = 315 ounces
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ASAP NOW! PLSS! I WILL MARK 5 STARS! PLSSS! thank you!! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.
Answers
Opposite values are those values which on the number line has the same distance between them and zero. The temperature in each city is PoT=-PhT and PhT =+PoT.
What are opposite values?Opposite values are those values which on the number line has the same distance between them and zero. Although the sign on the values may be difference. For example if the first value is 4, then its opposite value is -4.
In general, the temperature equation for Portland, Maine is stated mathematically as
PoT=-PhT
As it is given in the question that the Portland, Maine and Phoenix, Arizona had opposite values. Also, the temperature in Portland is lower than in Phoenix. Therefore, the temperature in each city can be written as,
PoT=-PhT
PhT =+PoT
Hence, the temperature in each city is PoT=-PhT and PhT =+PoT.
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The function g is related to one of the parent functions
g(x) = 2 √x
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.
Answers
If the function f(x) is shifted right upward by 2 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = √x .
What is an absolute function?The value of the absolute function is always positive.
The absolute function is given as
f(x) = a√x
The function g is related to one of the parent functions g(x) = 2 √x
Then the parent function f(x);
f(x) = √x
If the function f(x) is shifted right upward by 2 units, then the function f(x) will be equal to the function g(x).
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Are the two triangles congruent?
Answers
Answer:
yes.......................
Step-by-step explanation:
Solve the equation.
-x+8+3x = x-6
O x=-18
O x=-14
O x = 2
O x = 4
Answers
Answer:
x = -14
Step-by-step explanation:
- x + 8 + 3x = x - 6
- x + 8 + 3x - x + 6 = 0
x + 14 = 0
x = -14
Triangle U S T is shown. Angle U S T is 100 degrees. The length of U S is 9, the length of S T is 10, and the length of U T is s.
Which equation correctly uses the law of cosines to solve for the length s?
92 = s2 + 102 – 2(s)(10)cos(100°)
9 = s + 10 – 2(s)(10)cos(100°)
102 = s2 + 100 – 2(s)(10)cos(100°)
s2 = 92 + 102 – 2(9)(10)cos(100°)
Answers
By solving through law of cosines the length s can be written as [tex]s^{2} =9^{2} +10^{2} -2*9*10cos(100)[/tex].
Given the length of US is 9, the length of ST is 10 and the length of UT is s and the angle UST is 100 degrees.
According to law of cosines a length can be written as [tex]c^{2} =a^{2} +b^{2} -2abcos g[/tex]
where c is the side opposite to the given angle and a and b are other sides , g is the angle given.
[tex]s^{2} =9^{2} +10^{2} -2*9*10cos(100)[/tex]
where s is the length of the side opposite to the angle given, the length of other sides are 9 and 10 where the angle is 100.
Hence the fourth option is correct which is s^{2} =9^{2} +10^{2} -2*9*10cos(100).
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Answer:
its D
Step-by-step explanation: ed 2023
A shopkeeper buys 72 articles for $82.80. How much will he have to pay if he buys 150 such articles.
Answers
Answer: He have to pay $172.5 if he buys 150 such articles.
72 articles for --> $82.80
1 article for - - - > 82.80/72
150 articles for --> (82.80/72)*150
= $172.5
Answer:
$172.5
Step-by-step explanation:
Given:
Shopkeeper buys = 72 articles
Price = $ 82.8
To Find:
The amount he'll need to pay If he buys 150 articles.
Solution:
Amount if he buys 150 articles
[tex] \boxed{\rm \: No. \: of \: articles \: he \:will \: buy × \cfrac{Cost \: of \: that \: article \: he \: has}{Number \: of \: articles \: he \: has}} [/tex]
[tex] = \$ \bigg(\rm150 * \cfrac{82.80}{72}\bigg) [/tex]
[tex]= \$ (150* 1.15)[/tex]
[tex] = \$172.5[/tex]
So we can conclude that:
$172.5 he will have to pay if he buys 150 such articles.
At the local Stop and Shop, Haagan Dazs ice cream is on sale for $3.67 for 14oz.
Breyer’s half gallons are on sale for $4.69. Use unit pricing to compare and determine
which is a better deal.
Answers
Answer:
Breyer
Step-by-step explanation:
1gallon=128oz half gallon=64oz
We can make both of their unit to 224oz: 14x16=224oz 64x3.5=224oz
Haagen Dazs:3.67x16=58.72/224oz
Breyer: 4.69x3.5=16.415/224oz
Breyer’s way cheaper
Determine the equation of the line with slope m=2/3, passing through the point (0,4)
Answers
Answer:
y = 2/3x + 4
Step-by-step explanation:
The slope-intercept form is y=mx+b. m (the slope) is equal to 2/3, so you can substitute that number in for m. B is the y value of the y-intercept. The y-intercept is (0,4) as given in the problem, so the value of b is 4. You can substitute that value into the equation as well.
Which of the following could be the first step in solving the equation below 4+2log_(3)x=17
Answers
Answer:
subract 4 from both sides
Step-by-step explanation:
Help please!! I’m stuck with these questions. :)
Answers
Answer:
20 elements.
Step-by-step explanation:
Lets say
n(U) = 114
n(A) = 57
n(B) = 79
n(A n B)= 42
Now,
n(A U B) = n(A) + n(B) - n(A n B)
= 57 + 79 - 42
= 94
Now,
n(A U B) compliment = n(U) - n(A U B)
= 114 - 94
= 20
What is the slope of the line through (1,-2) and (-3,-2)?
Answers
-1/2
Step-by-step explanation:
m = y2-y1/x2-x1
-3+2/3-1
m=-1/2
Hii!
_________________________________________________________________
Answer: Slope = 2 - Choice [C] ✅
Step-by-step explanation:
Do you need to know the slope of the line through (1,-2) and (-3,-2)? No problem! Luckily, there's a formula to find this!
The slope formulaThe slope formula "[tex]\sf \cfrac{y2-y1}{x2-x1}[/tex]", is the formula we'll use to find the slope.
Let's stick in the values we know
[tex]\sf m= \cfrac{-2-2}{-3-(-1)}[/tex]
Simplify
[tex]\sf m=\cfrac{-4}{-3+1}[/tex]
Simplify
[tex]\sf m=\cfrac{-4}{-2}[/tex]
[tex]\sf m= \cfrac{4}{2}[/tex]
[tex]\sf m=2[/tex] ✅
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Hope that this helped! Best wishes.
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8.6 - 4 x 2 + 3/10 please i need this answer
Answers
Answer:
0.9
Step-by-step explanation:
RQ=5x+1 and QT =3x+15. Find QT.
Answers
The length QT is 36 units
How to determine the length QT?The attached image represents the missing information in the question
From the image, we have:
RQ =QT
Substitute known values
5x + 1 = 3x + 15
Evaluate the like terms
2x = 14
Divide by 2
x = 7
Substitute x = 7 in QT = 3x + 15
QT = 3 * 7 + 15
Evaluate
QT = 36
Hence, the length QT is 36 units
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The triangular prism below has a base area of 28.7 units² and a height of 11 units.
Find its volume.
Answers
The volume of the triangular prism is 315.70 units³.
What is the volume?A triangular prism is a three-dimensional shape that has a triangular base.
Volume =base area x height
28.7 x 11 = 315.70 units³
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What type of polynomial is P(x)=2+x?
Answers
Answer: linear polynomial
Step-by-step explanation:
Can anyone solve this problem ?
Answers
Answer:
defectionist forme solb ifv
Write 1 3/5 as an improper fraction?
