In the given situation, where polygons ABCD and KLMN are similar, the TRUE statement will be (A) "while the lengths of the matching sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."
What do we mean by polygons?A polygon is a closed polygonal chain made up of a finite number of straight-line segments and is a type of planar figure in geometry.
A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.
A polygonal circuit's segments are referred to as its edges or sides.
So, provided that polygons ABCD and KLMN are identical, the correct condition can be "while the lengths of the corresponding sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."
Therefore, in the given situation, where polygons ABCD and KLMN are similar, the TRUE statement will be (A) "while the lengths of the matching sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."
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Complete question:
Which of these conditions might be true if polygons ABCD and KLMN are similar?
A. The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of the corresponding sides of ABCD are half those of KLMN.
B. The measures of corresponding angles of ABCD and KLMN are in the ratio 1 : 2, but the lengths of corresponding sides of ABCD and KLMN are not proportional.
C. The lengths of the corresponding sides of ABCD and KLMN are equal, but the measures of corresponding angles of ABCD and KLMN are not equal.
D. The lengths of the corresponding sides of ABCD and KLMN are proportional, but the measures of corresponding angles of ABCD and KLMN are not equal.
E. The measures of corresponding angles of ABCD and KLMN are not proportional, but the lengths of corresponding sides of ABCD and KLMN are proportional.
Find the fourth degree polynomial function with zeros 8, -8, 8i, -8i. Write the function in factored form.
The fourth degree polynomial in factor form is p(x) = (x - 8) · (x + 8) · (x - i 8) · (x + i 8), whose standard form is p(x) = x⁴ - 4096.
How to derive the equation of polynomial in standard form
In this problem we must determine the equation of a polynomial such that it contains the roots 8, - 8, i 8 and - i 8. This can be done by using the definition of a polynomial in factor form:
p(x) = a · Π (x - rₙ), for n = {1, 2, 3, ..., m - 1, m}
Where:
a - Lead coefficientrₙ - n-th root of the polynomialm - Grade of the polynomial.And modify the expression by algebra properties until standard form is found. First, substitute the roots:
p(x) = (x - 8) · (x + 8) · (x - i 8) · (x + i 8)
Second, expand the expression by algebra properties:
p(x) = (x² - 64) · (x² - i² 64)
p(x) = (x² - 64) · (x² + 64)
p(x) = (x² - 64) · x² + (x² - 64) · 64
p(x) = x⁴ - 64 · x² + 64 · x² - 4096
p(x) = x⁴ - 4096
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if you grab a pen at random from a box containing 4 red pens, 3 blue pens, and 5 black pens, what is the probability of choosing a blue pen?
The probability of grabbing one blue pen from the given box of 12 pens.
As given in the question,
Total number of given red pens in a box = 4
Total number of given blue pens in a box = 3
Total number of given black pens in a box = 5
Total number of pens in a given box = 4+ 3+ 5
= 12
Total number of grabbing one pen from the box = ¹²C₁
Total number of grabbing one blue pen out all the pens in the box
= ⁴C₀ × ³C₁ × ⁵C₀
Probability of selecting one blue pen from the box
= (Total number of favourable outcomes )/ ( total number of outcomes)
= ( ⁴C₀ × ³C₁ × ⁵C₀ ) / ( ¹²C₁ )
= ( 1 × 3 × 1 ) / 12
= 3/12
= 1 / 4
Therefore, the probability of grabbing one blue pen from the box of 4 red, 3blue and 5 black pens is equal to ( 1/4 ).
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For every 8 package Chelea wrap he ue 1/2 of a roll of wrapping paper. If he ue 3 1/2 roll of wrapping paper, how many package ha he wrapped
The no: of packages Chelea wrapped is 24
What is unitary method?The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.
What is a unitary in math?a single state. This has an identity element in math, in an algebra. Whose inverse is equivalent to its adjoint (in mathematics, linear algebra, the mathematical study of a matrix or operator).
According to the given question
For every 8 packages the no: of roll used is 1/2
If the person used three 1/2 rolls
the no of packages he wrapped are 3*8
=24
The total no: of packages are are 24
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solve this solution using elimination
-8x+6y=34
-8x-4y=44
Answer:
y=-1
x=-5
Step-by-step explanation:
Subtract the two equations together to eliminate the 8x
1) -8x+6y=34
-8x-4y=44
2) -8x+6y=34
+8x+4y=-44
3) 10y = -10
4) y=-1
Substitute: -8x+6(-1)=34
-8x=40
x=-5
Titus bought 1.2 pounds of pears for $1.50 per pound. He also bought 2 pounds of candy for $2.75 per pound. Titus gave the cashier $20 for the pears and candy. How much change did he receive?
A) $15.75
B) $13.60
C) $12.70
D) $7.30
50 POINTS IF ANSWERED!!!!
Find the value of x
Answer:
The answer is 45
Step-by-step explanation:
the way to find this answer is by, first, knowing that each angle of a triangle adds up to 180. So, we must first add the 85 and 50 which will give us 135. After, you subtract it all from 180, which gives you 45.
In the triangle, the value of x is,
⇒ x = 45°
We have to given that;
In triangle;
The angles are 85 degree, 50 degree and x.
Since, We know that;
Sum of all interior angle of a triangle are 180 degree.
Hence, We get;
⇒ x + 85 + 50 = 180
⇒ x + 135 = 180
⇒ x = 180 - 135
⇒ x = 45°
Thus, the value of x is,
⇒ x = 45°
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How do I do this (with steps is preferred):
Suppose you know that x = -2 is a zero of p(x) = 4x^3 + 10x^2 - 6x - 20. Use synthetic division to factor the polynomial and find the remaining zeros.
The remaining zero of the polynomial 4x³ + 10x² - 6x - 20 is the quotient 4x² + 2x - 10 derived using synthetic division.
How to calculate for the zero of the polynomial using the synthetic divisionThe polynomial p(x) = 4x³ + 10x² - 6x - 20 having a zero x = -2 implies that x + 2 is a factor and has another factor derived by dividing p(x) = 4x³ + 10x² - 6x - 20 by x + 2.
we shall derive the other factor using the synthetic division as follows;
divide the first term 4x³ of the polynomial by x (of x + 2) to give 4x²,
multiply x + 2 by 4x² to give 4x³ + 8x²
then subtract 4x³ + 8x² from 4x³ + 10x² - 6x - 20 to give 2x² - 6x - 20
divide 2x² (of 2x² - 6x - 20) by x (of x + 2) to give 2x
multiply x + 2 by 2x to give 2x² + 4x
then subtract 2x² + 4x from 2x² - 6x - 20 to give -10x - 20
divide 10x (of -10x - 20) by x (of x + 2) to give -10
multiply x + 2 by -10 to give -10x - 20
then subtract -10x - 20 from -10x - 20 to give a remainder of zero.
Hence, the results 4x², 2x, and -10 are the terms of the quotient 4x² + 2x - 10 and forms the remaining zeros of the polynomial p(x) = 4x³ + 10x² - 6x - 20.
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Uma fábrica de peças automotivas produz dois tipos de peça: A e B. Sabe-se que o custo
unitário de produção da peça A é de R$ 180. Já, para a peça B, o custo direto é de R$ 290 a unidade
produzida. Estes custos referem-se à matéria-prima, mão de obra empregada etc. Aos custos diretos,
somam-se os custos fixos semanais, que incluem energia elétrica, aluguel de espaços de produção
etc, que equivalem a R$ 15.000,00. A partir disso, responda o que se pede:
The diagram shows a cycle track. The track has two straight sides each of length 40m. Each end of the track is a semicircle of radius 27m. The diameter of each wheel of Ian’s bike is 590mm. Ian is going to ride his bike around the track once. Calculate how many complete revolutions each wheel of his bike will make
There are 135 complete revolutions each wheel of his bike will make.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The track has two straight sides each of length 40m. Each end of the track is a semicircle of radius 27m. The diameter of each wheel of Ian’s bike is 590mm.
Now,
The circumference of the wheel of Lan's bike = π × 590 mm
= 0.59 π m
And, The perimeter of the cycle track is;
⇒ 40 × 2 + 2π × 27 = 80 + 54π
So, The number of complete revolutions each wheel of his bike will make is ;
⇒ (80 + 54π) ÷ 0.59π
⇒ 135
Thus, There are 135 complete revolutions each wheel of his bike will make.
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Answer: 134
I got this question wrong in some work, the answer is 134.
Carol has 123 pounds of beans. She fills jars by putting 23 pound of the beans into each jar. What number of jars can be filled with the beans?
119
2
212
3
The number of jars that are fully filled is 5 and one jar filled partially is 8 out of 23 parts.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Song has 123 pounds of beans. She fills containers by placing 23 pounds of beans into each container.
⇒ 123 / 23
⇒ 5 ⁸/₂₃
The number of jars that are fully filled is 5 and one jar filled partially is 8 out of 23 parts.
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Students are making lemonade from a powdered lemon drink mix. Ariana
mixes 3 cups of water and 17 cups of powdered lemon mix. Andres mixes 1
cup of water and 10 cups of powdered lemon mix. Use Ariana and Andres's
percent of pewdered lemon mix to determine whose mix will be more lemony.
Ariana percent of powdered lemon mix (to nearest whole number) =
Andres percent of powdered lemon mix (to nearest whole number) =
Answer: Ariana uses 85% drink mix, and Andres uses 90% drink mix. Therefore, Andres's drink will taste more lemony.
Step-by-step explanation:
Ariana uses 17 cups of mix out of the 20 total cups which is 85%
Andres uses 10 cups of mix out of the 11 total cups which is around 90%
Answer:
Ariana percent: 85Andres percent: 91Step-by-step explanation:
You want the percent of powdered lemon mix in two recipes:
Ariana: 3 c water, 17 c lemon mixAndres: 1 c water, 20 c lemon mixPercentThe desired percent can be found from ...
(lemon mix)/(water + lemon mix) × 100%
For Ariana, this is ...
17/(3 +17) × 100% = 17/20 × 100% = 85%
For Andres, this is ...
10/(1 +10) × 100% = 10/11 × 100% ≈ 91%
__
Additional comment
There aren't many powders that will dissolve 10 cups of powder in 1 cup of water. Even if there were, the resulting combination would not have a volume of 11 cups. This might be a mildly interesting math problem, but it has little relevance to any real-world lemonade recipe.
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Which of the following is a solution to the inequality below?
4>102/z+11
A=3 B=1 C=2 D=6
None of the option are correct for the solution to inequality.
Explain the term solution to inequality?Finding a range, and ranges within ranges, of values which an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. In this lesson, inequalities are resolved using graphs and algebra.A number is solution to an inequality of x if it can be used to replace x with a statement that is true.For the given inequality:
4 > 102/z + 11
Subtract both side by 11
4 - 11 > 102/z + 11 - 11
-7 > 102/z
Divide both sides by 102
-7/102 > 1/z
Taking reciprocal of each;
z < -102/7
z < -14.5
Thus, none of the option are correct for the solution to the inequality.
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Solve the inequality, and graph the solution on the number line. 3 over 2x − 2 < −2(x + 8)
The line shows the solution of 3x−2<2x+1 by solving the inequality.
What is meant by inequality?An inequality in mathematics is a comparison between two numbers or other mathematical expressions that is done in an unfair manner. On the number line, it is most typically used to compare the sizes of two numbers. With one significant exception, inequalities can be resolved in the same manner as equations by applying the same steps to both sides until the variable has been identified. If you multiply or divide by a negative number, you must flip the inequality sign.
A and b are not equal in either situation. These interactions are recognized as robust inequalities.
Given, 3x−2<2x+1
⇒3x−2x<1+2
⇒x<3 or x∈(−∞,3)
The lines y=3x−2 and y=2x+1 both will intersect at x=3
Clearly, the line shows the solution of 3x−2<2x+1.
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8. Model Real Life A window cleaner has cleaned 467 windows
of a skyscraper. He cleans some more. Now there are 967 clean
windows. Each floor of the skyscraper has 100 windows. How
many floors of windows does the window cleaner clean?
The number of floors of windows that the window cleaner cleans will be 10.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A window cleaner has cleaned 467 windows of a high rise. He cleans some more. Presently there are 967 clean windows. Each floor of the high rise has 100 windows.
The number of floors of windows that the window cleaner cleans will be given as,
⇒ 967 / 100
⇒ 9.67
⇒ 10 floors
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A grocery store sign indicates that plums are 6 for $1.50, and a sign by the apples indicates that they are 5 for $3.00. Find the total cost of buying 2 plums and 2 apples.
*Determine how much per plum and apple before finding the total cost.
A grocery store sign indicates that plums are 6 for $1.50, and a sign by the apples indicates that they are 5 for $3.00. Find the total cost of buying 2 plums and 2 apples.
*Determine how much per plum and apple before finding the total cost.
An apple would cost $0.6 while a plum would cost $0.25.
The total cost of buying 2 plums and 2 apples will be $1.7
What is Cost?Cost is the value of money that has been used or exchanged up to produce something or deliver a service. Money is an input that is gone in order to acquire something.
If 6 plums sell for $1.50, then;
1 plum will be (1.50/6) = $0.25
Also, if 5 apples cost $3.00, then;
1 apple will be (3/5) = $0.6
Therefore 2 apples will cost: 2 x $0.6 = $1.2
and 2 plums will cost: 2 x $0.25 = $0.5
Total cost for 2 apples and 2 plums will be = $1.2 + $0.5
The total cost = $1.7
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Which is a solution of the inequality 7 ≤ −2x + 3 ?
A.) 1
B.) 2
C.) −2
D.) −1
Answer: x ≤ -2
Option C is correct
Answer:
x ≤ -2 then it is C) -2
Step-by-step explanation:
7 ≤ −2x + 3
2x+7 ≤ + 3
2x ≤ 3-7
2x ≤ -4
x ≤ -4/2
x ≤ -2
Find 1 3/4 divided by 1 1/2. Write in simplest form.
Please answer quick! It's due tomorrow and I forgot how to do it, so it would be great if anybody could give me a good explanation :)
Answer: 7/6
Step-by-step explanation:
1 3/4 can be written as 7/4
1 1/2 can be written as 3/2
7/4 divided by 3/2 equal 7/4 times 2/3 = 14/12 = 7/6
A construction worker must raise to the top of a 20-foot-tall building using a computer-controlled crane. If the materials are 28 feet away from the base of the building. What slope needs to be programmed into the computer to accomplish the delivery? State your answer as a fraction in lowest terms
The slope that needs to be programmed into the computer to accomplish the delivery is x=3441/100.
What is meant by Pythagorean theorem?A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras theorem in mathematics. It is believed that the area of the square with the hypotenuse equals the sum of the areas of the squares on the other two sides.
Pythagoras, a Greek philosopher who was born around 570 BC, is honored in the name of the theorem. Perhaps more than any other mathematical theorem, the theorem has been demonstrated several times using a variety of techniques. There are many different types of proofs, some of which go back thousands of years, including both geometric proofs and algebraic proofs.
By using Pythagorean theorem,
x²=20²+28²
x²=400+784
x²=1184
x=34.41
x=3441/100
Therefore, the slope that needs to be programmed into the computer to accomplish the delivery is x=3441/100.
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please help I have a test I need to complete and it's due tomorrow !
Answer: 4t+109.99=347.95
Step-by-step explanation:
if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid?
Yes , the confidence interval still valid because the sample size is large ( n = 100 is greater than 30 ).
Given :
Monica delivers pizza. She takes a simple random sample of 100 of her deliveries from the first 11 months of 2020 and finds that her tips average $3.66 with an SD of $2.19.The 90% confidence interval for Monica’s average tip size for these months has the form A + - B * C .
if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid .
Here
sample size n = 100
The sample size is a term used in market research for defining the number of subjects included in a sample size.
here
n > 30
Hence the confidence interval is still valid .
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Full question:
Monica delivers pizza. She takes a simple random sample of 100 of her deliveries from the first 11 months of 2020 and finds that her tips average $3.66 with an SD of $2.19.The 90% confidence interval for Monica’s average tip size for these months has the form A + - B * C .
if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid?
What expreion repreent the um of 2 divided by x and 15
215÷x215÷x
(215)÷x(215)÷x
152÷x152÷x
(152)÷x
The required expression will be 2/x+15 as the problem says "the sum of 2 divided by x and 15".
What is expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.
Here,
2 divided by x,
=2/x
sum of 2/x and 15,
2/x+15
The conclusion is "the sum of 2 divided by x and 15," hence the necessary equation will be "2/x+15."
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Solve this problem
-20 < 2x6 ≤2
Answer: -20<12<=2
Step-by-step explanation:
First, you simplify the expression.
-20<2*6<=2
And then perform any multiplication or division, from left to right...
-20<2*6<=2
-20<12<=2
And there you have it!
I hope this helped!
Have a great rest of your day and Merry Christmas (and Happy New Year)!
PLEASE HELP ME ASAP!!!!
Answer:
The answer to this equation is x=-1
Answer:
x = -1
Step-by-step explanation:
[tex]2^{3x + 1}=\frac{1}{4}[/tex]
[tex]2^{3x+1} = \frac{1}{2^{2} }[/tex]
[tex]2^{3x+1} =2^{-2}[/tex]
[tex]3x+1 = -2\\3x = -2 -1\\3x = -3\\x =\frac{-3}{3} \\x = -1[/tex]
when people measure the worth of various items in terms of money, money is performing the function of a what?
Answer: unit of account
Step-by-step explanation:
I learned this in Macro Chapter 34.
K
QUESTION 9/10
A loss is when:
14a
A. Revenue is greater than expenses.
C. Revenue is equal to expenses.
B. Revenue is less than expenses.
D. None of the above.
There are 6 cans of juice of the same weight and a box. If the 6 cans
are put in the box, the total weight of the cans and the box is 1620 g.
If only 2 cans are put in the box, the total weight is 660g. How many
grams does this box weigh?
An airplane travels 100 miles in 0.4 hour. Which speeds represents the rate of the airplane?
The speed represents the rate of the plane is 250 miles/ hour.
What is speed?
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
An object is considered to be moving at constant speed when it travels an equal distance in an equal amount of time.
When an object travels a different distance at equal intervals of time, it is said to be moving at variable speed.
Average speed is the constant speed determined by the ratio of the total distance travelled by an object to the total amount of time it took to travel that distance.
Immediately speed is When an object is travelling at a variable pace, its speed at every given moment
Speed =distance/ time taken
= 100/0.4
= 250 miles/ hour
Hence, the speed represents the rate of the plane is 250 miles/ hour.
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Please help answer this question.
Since the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
Since the angles are formed by cutting the parallel line the angle formed as,
15x-6 = 114
15x=114+6
15x=120
x=120/15
x=8
Thus. if the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.
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Peter learns the following: a cheetah travels about 0. 15 kilometers in 5 seconds. A snail travels about 1. 5 centimeters in 5 seconds. About how much farther can cheetah travel than a snail in 5 seconds?.
Answer: The cheetah travels 7499.25 further then the snail in 5 seconds
Step-by-step explanation:give brainliest
Statement 1: The first terms of the patterns cannot possibly be equal.
Answer: False
Step-by-step explanation:
The first term equal to the function x=1