Answer:
Part A
a. Could be a parallelogram but cannot be a rectangle
Part B
c. 100°
Step-by-step explanation:
Part A
The polygon constructed by Andrew = Four sided polygon having no right angles
From the given four sided polygon (quadrilateral) options, the options which can have no right angles are the parallelogram, and rhombus
The rectangle, and square both have 4 right angles
Therefore, the polygon can be either a parallelogram or a rhombus, but cannot be either a rectangle or square
The correct option is therefore, 'His polygon could be a parallelogram but cannot be a rectangle'
Part B
The given parameters of the rhombus EFGH are;
Angle E = 3·x + 5, angle H = 4·x
The characteristics of a rhombus are;
The sum of the interior angles of a rhombus = 360°
The opposite angles of a rhombus are equal
The sum of the adjacent angles = 180° (The adjacent angles are supplementary)
Therefore, in the rhombus EFGH, we have;
Angle E, and angle H are supplementary angles
∴ Angle E + angle H = 180°
Substituting the values of angle E and angle H gives;
3·x + 5 + 4·x = 180°
7·x = 180° - 5 = 175°
x = 175°/7 = 25°
Angle H = 4·x
∴ Angle H = 4 × 25° = 100°
Angle H = 100°
Angle F = angle H = 100°
Therefore, angle F = 100°
a bookstore had 84 copies of a magazine. yesterday, it sold 14 of them. today, it sold 37 of what remained. how many copies does the bookstore have left?
Using the Substraction algebra operation,
the number of left copies of magzine is 33.
we have given that
total copies of a magazine in the bookstore = 84
total copies sold by seller on yesterday= 14
total number of copies sold by seller on today
= 37
We have to calculate the total remained copies of a magzine in bookstore.
For this, we simply use the an algebra subtraction operation .
that is we substrate the sold copies of magzine in two days from total copies of a magazine in bookstore.
total sold copies of magzine in two days= 51
so, left copies of magzine in bookstore= total books in bookstore - total sold copies of magzine
=> left copies of magzine= 84 - 51 = 33
so, the copies of magzine left in bookstore is 33..
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how many yard are in 10 meters
Answer:
10.936 yards
Step-by-step explanation:
A person walks 1 km, turns around, and runs back to where he started. Compare the energy used and the power during the two segments. A. The energy used and the power are the same for both. B. The energy used while walking is greater, the power while running is greater. C. The energy used while running is greater, the power while running is greater. D. The energy used is the same for both segments, the power while running is greater.
D. The energy used is the same for both segments, the power while running is greater.
Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.
Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.
D. The energy used is the same for both segments, the power while running is greater.
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angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of each angle.
Answer:
M = 26 degrees, N = 64 degrees
Step-by-step explanation:
When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.
M is measure of angle M
N is measure of angle N
M + N = 90 degrees
M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)
We can then use the second equation to substitute in M in the first equation with N - 38
N - 38 + N = 90
2N - 38 = 90
2N = 128
N = 64 degrees
We plug this value back into the first equation to find M
M + 64 = 90
M = 26 degrees
The measure of ∠M and ∠N are 26° and 64° respectively.
What is a supplementary angle ?Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.
According to the given question angle M and angle N are complementary.
∴ Sum of these two angles ∠M + ∠N = 90°.
Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.
Therefore, x + (x-38) = 90°.
2x = 90° + 38°
2x = 128°.
x = 64°.
∴ The measure of ∠M is (64 - 38 )° = 26°.
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4. A car is priced at $7200. The car dealer allows a customer to
pay a one-third deposit and 12 payments of $420 per month.
How much extra does it cost the customer?
Answer:
$240 extra
Step-by-step explanation:
1/3(7200) + 12(420) = 2400 + 5040 = 7440
7440 - 7200 = 240
The customer had to pay 1720 extra.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A car is priced at $7200.
If the deposit is one third = 7200/3
= 240
The amount after 12 payments will be
= 240 x 12
= 2880
total cost will be
= 2880 + 2400
= 5280
and, The customer had to pay extra amount
= 7200 - 5280
= 1720
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A trapezium of area 140cm square has parallel sides 10cm apart and one of these 16m long. Find the length of the other parallel side
The length of the other parallel side = 7.5 cm
what is trapezium?
Trapezium is the quadrilateral whose only one pair of side is parallel.
as we know ;
AREA OF TRAPEZIUM=1/2*(sum of parallel side)*(height)
given:- one parallel side = 10 cm
height = 16 cm
Area= 140 cm
Assume:-
other parallel side =x cm
so,
140=1/2*(10+x)*16
140*2/16=10+x
280/16=10+x
35/2=10+x
17.5-10=x
x= 7.5cm
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what are the common factors of 42 and 28
A.1,2,4,7,14
B. 1,2,6,7,14
C. 1,2,4,6,7,14
D. 1,2,7,14
Need help ASP
B 1,2,6,7,14
okay
okay
A repeated-measures research study and a separate independent-measures research study both produced a t statistic with df = 10. How many individuals participated in each research study?
Group of answer choices
a.)n = 12 for a repeated-measures research study and n = 11 for an independent-measures research study
b.)n = 12 for a repeated-measures research study and n = 12 for an independent-measures research study
c.)n = 11 for a repeated-measures research study and n = 11 for an independent-measures research study
d.)n = 11 for a repeated-measures research study and n = 12 for an independent-measures research study
By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).
In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.
Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.
Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).
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Tonla is saving $15.00 each week to buy a bicycle. The bicycle costs $129.99. Which inequality can be used to determine the number of
weeks, w, in which Tonia must save money so that she has more than enough money to buy the bicycle?
15.00w < 129.99
15.00w > 129.99
w + 15.00 < 129.99
W + 15.00 > 129.99
Answer:
15.00w < 129.99
hope it helps
Write an equation for a rational function with the given characteristics.
vertical asymptotes at x = -3 and x = -2
x intercepts at (2,0) and (1, 0)
y intercept at (0,5)
One possible equation for the rational function with these characteristics is: f(x) = 5 * (x - 2) * (x - 1) / ((x + 3) * (x + 2)).
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. It usually contains one or more variables and may also contain constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are commonly used in algebra, geometry, calculus, and other branches of mathematics to model real-world situations and to solve problems.
Here,
The vertical asymptotes at x = -3 and x = -2 indicate that the denominator of the function has factors of (x + 3) and (x + 2), respectively.
The x-intercepts at (2,0) and (1,0) indicate that the numerator of the function has factors of (x - 2) and (x - 1), respectively.
The y-intercept at (0,5) indicates that when x = 0, the function has a value of 5 (the y-intercept).
To ensure that the function is rational, we divide the numerator by the denominator.
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The Beta club sold hot pretzels as a fundraiser. The pretzels normally sold for $2.00, but near the end of the sale, the price was reduced by 25%. What was the new price for a hot pretzel?
Answer: The new price for a hot pretzel is 1.50
Step-by-step explanation: 200*75/100=150
i feel absolutely unintelligent and cannot get past this assignment. all my friends finished school but im not done yet. can someone help me please!
Step-by-step explanation:
Probability of A is 10 + 5 =15
Probability of B is 9 + 5 ( but you already counted the '5')
so just count 9
9+ 15 = 24
this is 24 out of 16 + 10 + 5 + 9 = 40
or 24/40 which reduces to 3/5 or .6 or 60%
Using the equation given:
P(A) + P(B) - P(A and B)
15 + 14 - 5 = 24 this is out of the entire number 40
24/40 = same as above
Pricing Math Quiz
QUESTION 4 of 10: You make a corn dip appetizer that feeds four. The key ingredients and prices are: corn $0.77, sour cream $0.96, cheese
$1.11, seasoning $0.44. What is the total food cost?
Answer:
13 dollars and 12 cents
Step-by-step explanation:
I added all of the ingredient prices in parenthesis then multiplies it by 4. :)
guys i need help please
i'll give you brainliest if you can help me
this is quadratics
Ray has tea. He has 2.671 liters of tea he pours 0.47 liters in a glass. how many liters did he pour? Solve.
On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.
What does the term "mathematical operations" mean?The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.
What are the five operations in mathematics?In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Total amount of tea Ray has - 2.671L
Amount of tea Ray poured - 0.47
Therefore,
amount he was left with was = 2.671- 0.47 = 2.201L
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A five-year project has an initial fixed asset investment of $275,000, an initial NWC investment of $23,000, and an annual OCF of −$22,000. The fixed asset is fully depreciated over the life of the project and has no salvage value. If the required return is 10 percent, what is this project’s equivalent annual cost, or EAC? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
The equivalent annual cost (EAC) of the project is $78,000, considering the initial fixed asset and net working capital investments, annual operating cash flow, and required return of 10%.
To calculate the equivalent annual cost (EAC) of the project, we need to consider the initial fixed asset investment, initial net working capital (NWC) investment, annual operating cash flow (OCF), and the required return.
The EAC can be calculated using the formula:
EAC = Initial Fixed Asset Investment + Initial NWC Investment + Present Value of Annual OCF
First, let's calculate the present value (PV) of the annual OCF using the formula for the present value of a growing perpetuity:PV = OCF / (r - g)
where r is the required return and g is the growth rate of OCF. In this case, the OCF is constant, so the growth rate (g) is zero.
PV = (-$22,000) / (0.10 - 0) = -$220,000
Next, we can calculate the EAC:
EAC = $275,000 + $23,000 + (-$220,000) = $78,000
Therefore, the equivalent annual cost (EAC) of the project is $78,000.
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) if k is a subgroup of g and n is a normal subgroup of g, prove that k/(k > n) is isomorphic to kn/n.
Since φ satisfies all the conditions of the First Isomorphism Theorem, we conclude that K/(K ∩ N) is isomorphic to (K N)/N.
What is First Isomorphism Theorem?
The First Isomorphism Theorem is a fundamental result in group theory that establishes a connection between a group homomorphism and the structure of the groups involved. It states that if φ: G → H is a group homomorphism with kernel K, then the quotient group G/K is isomorphic to the image of φ, denoted as φ(G). In other words, the cosets of the kernel K in G form a group isomorphic to the image of G under the homomorphism φ
To prove that K/(K ∩ N) is isomorphic to (K N)/N, where K is a subgroup of G and N is a normal subgroup of G, we can use the First Isomorphism Theorem. The theorem states that if φ: G → H is a homomorphism with kernel K, then G/K is isomorphic to φ(G).
Let's define a homomorphism φ: K → (K N)/N, where φ(k) = kN. We need to show that φ is well-defined, injective, surjective, and preserves the group operation.
Well-defined: We need to show that if k1, k2 ∈ K and k1N = k2N, then φ(k1) = φ(k2). Since k1N = k2N, it implies that k1⁻¹k2 ∈ N. Since N is a normal subgroup of G and K is a subgroup of G, it follows that (k1⁻¹k2)k ∈ K for any k ∈ K. Hence, φ is well-defined.
Injective: We need to show that if φ(k1) = φ(k2), then k1 = k2. If φ(k1) = φ(k2), it implies that k1N = k2N, which means k1⁻¹k2 ∈ N. Since N is a subgroup of G, k1⁻¹k2 ∈ N implies k1⁻¹k2N = N. This implies k1⁻¹k2 ∈ K ∩ N. As K ∩ N contains only the identity element (since N is a normal subgroup and K is a subgroup), we have k1⁻¹k2 = e (identity element), which gives k1 = k2. Hence, φ is injective.
Surjective: We need to show that for every coset aN in (K N)/N, there exists an element k ∈ K such that φ(k) = aN. Since aN is a coset in (K N)/N, we can write aN = knN for some k ∈ K and n ∈ N. Hence, φ(k) = knN = aN. Therefore, φ is surjective.
Group operation preservation: We need to show that φ preserves the group operation. Let k1, k2 ∈ K. Then φ(k1k2) = (k1k2)N = (k1N)(k2N) = φ(k1)φ(k2). Hence, φ preserves the group operation.
Since φ satisfies all the conditions of the First Isomorphism Theorem, we conclude that K/(K ∩ N) is isomorphic to (K N)/N.
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What’s the missing term ?
Answer:
2x^2
Step-by-step explanation:
Solve the system by substitution. { − 4 . 5 x − 2 y = − 12 . 5 3 . 25 x − y = − 0 . 75
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The value of x is 1.
The value of y is 4.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 = 5 is an equation.
We have,
-4.5x - 2y = -12.5 ____(1)
3.25x - y = -0.75 _____(2)
From (1) we get,
-4.5x + 12.5 = 2y
y = (-4.5x + 12.5) / 2 _____(3)
Now,
3.25x - y = -0.75
Putting (3) in (2) we get,
3.25x - (-4.5x + 12.5) / 2 = -0.75
6.5x + 4.5x - 12.5 = 2 x -0.75
11x - 12.5 = -1.5
11x = -1.5 + 12.5
11x = 11
x = 1
Now,
From (3) we get,
y = (-4.5x + 12.5) / 2
y = (-4.5 x 1 + 12.5) / 2
y = (-4.5 + 12.5) / 2
y = 8/2
y = 4
Thus,
The value of x is 1.
The value of y is 4.
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Question 1
A sweater was originally $38.00, but the department
store is running a 15% off sale. What is the sale price of
the sweater?
Answer:
$32
Step-by-step explanation:
Euclid relied on five basic axioms to build the propositions in his book Elements. The first axiom states, “Things that are equal to the same thing are also equal to one another.” Which modern mathematical statement is equivalent to this axiom?
A. If a = b, then b = a.
B. If a = b and b = c, then a = c.
C. If a ≠ b, then b ≠ a.
D. If a = b, then a + c = b + c.
Answer:
B
Step-by-step explanation:
I got it right on edge.
EXTRA POINTS---Set up an equation and find the value of x.
Answer:
10)
180-3x =x (corresponding angles are equal)
x=45°
11)180-5x=3x ( same reason)
x=10°
12)180-6x=3x(same reason)
x=20°
Answer: See explanation
Step-by-step explanation:
10) Same side interior angles add up to 180°
3x + x = 180
4x = 180
x = 45
11) Same side interior angles add up to 180°
5x + 3x = 180
8x = 180
x = 22.5
12) 6x is vertical to an angle that has a relationship with 3x (same side interior angles) which means 6x and 3x have to add up to 180° as well
6x + 3x = 180
9x = 180
x = 20
What is the average speed of the car if it covers 300 km in 5 hours?
An object's average speed is a measurement of how quickly it moves over a predetermined amount of time. The calculation is done by dividing the overall distance travelled by the overall travel time. In other words, it reveals the average amount of distance an object has travelled per unit of time.
In the case provided, we can apply the following calculation to get the average speed of the car:
average speed = total distance / total time
In this instance, a total of 300 kilometers was travelled while 5 hours were expended.
so, average speed = 300 km / 5 hours
= 60 km/h.
This indicates that the car travels at an average speed of 60 kilometers per hour. This represents the average speed of the car's five-hour journey. Although the car may have gone faster or slower at various points throughout the course of the five hours, on average, it was moving at a speed of 60 kilometers per hour.
Therefore, the average speed of the car is 60km/h .
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√67
(with work shown)
Answer:
67−−√2
=8.18535277
divide by 2 until you get a number that ends. It may take a while but you will get the right answer. I'm not sure what your teachers standards are. My math teacher will have us write 2 numbers behind the decimal unless its repeated
Step-by-step explanation:
I
need the details why we choose answer c
109) Use the following random numbers to simulation crop yield for 10 years: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81. What is the estimated crop yield from the simulation? A) 425 B) 442 C) 440 D) 475 A
The estimated crop yield from the simulation is 443 (option b).
To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.
Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81
To find the estimated crop yield, we sum up all the random numbers:
37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443
Therefore, the estimated crop yield from the simulation is 443. The correct option is b.
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Exit Ticket : Submit on Schoology Write an equations that represents the proportional relationship between the time in class x and the number of pages y. Hotebo... Create a table & graph to represent the proportional relationship. 5/29/21 Liana takes 2 pages of notes during each hour of class.
Given that;
Liana takes 2 pages of notes during each hour of class.
To write a proportional relationship, let x represent the time in class and y represent the number of pages.
\(y=kx\)according to the question, the constant of proportionality is equal to 2. ( 2 pages per hour).
So, the equation becomes;
\(y=2x\)Therefore, an equation to represent the proportional relationship is;
\(y=2x\)We can represent the equation on the graph as;
We can also represent it on the table as;
\(\begin{gathered} x\text{ y} \\ 1\text{ 2} \\ 2\text{ 4} \\ 3\text{ 6} \\ 4\text{ 8} \\ 5\text{ 10} \end{gathered}\)Where x is in hours and y is in pages.
Does someone mind helping me with this problem? Thank you!
What is the meaning of SSS similarity theorem?
The SSS Similarity Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are similar. This theorem is also known as the Side-Side-Side Similarity Theorem or the SSS Similarity Postulate.
What is the similarity theorem of triangles?
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle similarity is indicated here by the symbol (~).
SSS or Side-Side-Side Similarity.
If all three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.
From this result, we can conclude that-
∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z
Hence, we have described the SSS similarity theorem.
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help pls this is hell
Answer:
B. 2n + 14 ≥ -10
Step-by-step explanation:
twice a number: 2n
... increased by 14: 2n + 14
is at least: 2n + 14 ≥
the opposite of 10: 2n + 14 ≥ -10
Answer:
Your answer is B, 2n + 14 \(\geq\) -10
Hope this helps!
Step-by-step explanation:
* Twice a number *
2 * n
* Increased by 14 *
+ 14
* Is at least *
\(\geq\)
* The opposite of 10 *
-10
Write an expression for the phrase.
A number increase by ten.
No links
Answer:
n + 10
Step-by-step explanation:
im pretty sure thats right, im sorry if not but have a great day!
Answer:
I'm not tryna be a but do u know how to ask questions in the app
Step-by-step explanation:
pls