The pair of triangle formed are congruent using the side-side-side congruency theorem.
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.
Since the opposite sides of a parallelogram are congruent, if the parallelogram is cut through the diagonal, the pair of triangle formed are congruent using the side-side-side congruency theorem.
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Which pair of ratios makes a proportion?
A. 1/4 and 5/25
B. 1/4 and 7/24
C. 1/4 and 10/48
D. 1/4 and 9/36
Answer:
D. 1/4 and 9/36Step-by-step explanation:
If two ratios make a proportion then it can be shown as:
a/b = c/d ⇒ ad = bcLet's verify the answer choices with this method
A. 1/4 and 5/25
1*25 = 4*525 = 20, incorrect, not a proportionB. 1/4 and 7/24
1*24 = 4*7 24 = 28, incorrect, not a proportionC. 1/4 and 10/48
1*48 = 4*1048 = 40, incorrect, not a proportionD. 1/4 and 9/36
1*36 = 4*936 = 36, correct, this is a proportionSolve for B:
1/5b=d+f
Answer:
b=5d+5f
solve for b by simplifying both sides and then isolating the variable.
376
Step-by-step explanation:
Please Help! What is tan A?
Answer:
[tex]\fbox {tan A = 0.5333}[/tex]
Step-by-step explanation:
tan A = opposite side of ∠A / hypotenuse
tan A = 8 / 15
tan A = 0.5333
Answer:
tan A = perpendicular/ base
tan A = 8/15
tan A=0.5333
Step-by-step explanation:
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The cost of the fruit is given by the function y= 3x+1, where x is the number of fruits and y is the total cost. Find the
range of the function.
Answer:
The answer is the second option: {4, 7, 10...}
the function f(x)=-3 cos(2x+pi/4) has ___
The domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] will be [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3].
What are domain and range?Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The range of the function we can see from the graph of the function will be from [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3]
The domain of the function will be all the values of the real numbers for the function ranges from ( 0, ∞ ).
Therefore the domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] will be [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3].
The complete question is given below:-
what is the domain and range of the function
F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] .
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If TU = 8, UV = 3x, and TV = x + 10, what is TV?
The value of TV is 11.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given:
TU= 8, UV = 3x and TV = x+10
TV= TU + UV
x +10= 8+ 3x
-2x = -2
x= 1
Hence, TV = 1+10= 11.
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Which polynomial is in standard form?
1+2x-8x^2+6x^3
2x^2+6x^3-9x+12
6x^3+5x-3x^2+2
2x^3+4x^2-7x+5
The only equation that is written in descending order is
2x³+4x²-7x+5 , Option D is the correct answer.
What is a Polynomial ?A polynomial is a mathematical expression consisting of variables , constants and mathematical operators.
The standard form of a polynomial is
[tex]\rm a_1x^n +a_2x^{n-1}+............+a_0[/tex]
The only equation that is in its standard form or in other words
The only equation that is written in descending order is
2x³+4x²-7x+5 , Option D is the correct answer.
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16. a bacteria culture starts with 10 00 bacteria and the number doubles every 40minutes.(a) find a formula for the number of bacteria at time t
The formula that can be used to find the number of bacteria is FV = 1000 x 2^t.
What is the formula that can be used to find the number of bacteria?The formula that can be used to determine the number of bacteria is an exponential function with the form:
FV = P(1 + r)^t
Where:
FV = future population P = present population r - rate of increase1000 x ( 1 + 1)^t
FV = 1000 x 2^t
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which of these tables represents a function
Answer:
A: Table W.
Step-by-step explanation:
A function for tables are where the X-input NEVER repeat.
Graph W. Doesn't have any repeating inputs on the x side
Y can repeat as much as the problem make wants but the x CAN NOT.
Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right. As the sample size n increases, what happens to the shape of the distribution of the sample mean?.
As the sample size grows, the distribution of the sampled means becomes normally distributed option (C) is correct.
What is simple random sampling?With simple random sampling, each component of the population has an equal chance of being selected for the sample.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right.
As we know, the distribution of sample means will be normally distributed even if the individual samples do not, according to the Central Limit Theorem, if the mean values for increasing sample sizes are determined.
Thus, as the sample size grows, the distribution of the sampled means becomes normally distributed.
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Show work, can someone help me out having trouble with this problem
Answer:
Step-by-step explanation:
Formula
a = 9 / (f - 7)
Note
If you are going to try and isolate f, you must take the 7 with it, assuming that getting f to the left hand side will the your first step. It will be mine.
Solution
a = 9 / (f - 7) Multiply both sides by (f - 7) leave the brackets around (f - 7)
a(f - 7) = 9(f - 7)/(f - 7) Combine
a(f - 7) = 9 Remove the brackets
fa - 7a = 9 Add 63 to both sides
fa - 7a + 7a = 9 + 7a Combine
fa = 9 + 7a Divide by a
fa/a = (9 + 7a)/a Simplify
f = (9 + 7a)/a
Answer
f = (9 + 7a)/a
Which equation results from adding the equations in this system? Negative 2 x + y = 8. 5 x minus y = negative 5. 7 x = 13 7 x = 3 3 x = 3 3 x = 13'
The correct option is second one i.e 7x = 3
Therefore the results from adding the equation in this system are
7x = 3
Equations as,
What is the equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
2x+y=8 .......................1
5x-y=-5 .......................2
Result when adding equations 1 and 2 =?
On adding equations 1 and 2 the y term will get canceled and the like terms will combine is add (2x and 5x ) and ( 8 and - 5) as shown below
2x + y = 8
5x - y = - 5
-------------------------------------------
7x + 0 = 3
---------------------------------------------
Therefore the results from adding the equation in this system are 7x=3.
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Answer:
7x=3
Step-by-step explanation:
Two students are registered for the same class and attend independently of each other, student a 90% of the time and student b 70% of the time. the teacher remembers that on a given day at least one of them is in class. what is the probability that student a was in class that day
The probability of student A is 15/44
Given student A is 70% of time and student B is 60% of time
We need to find the probability of student A
Using formula of conditional probability is P(X/Y) = P(X and Y) / P(Y)
Here X = A and Y = A or B
Therefore,
P(A/A or B) = P(A and (A OR B) / P (A or B)
Now, There is none complement for at least 1
We know that Student A attends 70 % of time
So , his absence is 30% of the time .
Hence the probability of absence is 0.3
Now Considering B in the similar way
We get,
Probability of the absence is 0.4
They are both absent (0.3)(0.4)= 0.12
Here we can say that 12 % of time both are absent
So one or another present on that time is 88%
The probability of present of the time is 0.88
Now calculating the probability,
P(A/A or B) = P(A and (A OR B) / P (A or B)
= 0.3/0.88
= 30/88
= 15/44
Hence the Probability Of A is 15/44
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Help me out please…….
Answer:
please suscribe my chsnnal
clue technical
a parallelogram has an area of 160 square meters and a height of 4 meter. what is the length of the base of the parallellogram
Answer:
40
Step-by-step explanation:
the formula for area of a parallelogram is a = bh
you know area (a) = 160 and height (h) = 4, so:
160 = 4 * b
divide both sides of this equation by 4,
b = 40
the base is 40 meters long
each day you read 15 pages in your textbook. use the drop-down menu to choose the correct equation that represents the total number of pages you have read after any number of days.
Answer:
15x
Step-by-step explanation:
assum 1 day you read 15 pages then after X day you reads 15*X=15X
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
What is the range of the function?
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
What is the range of the function?
How do you factor a^2-b
Answer:
a
2
−
b
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
a
and
b
=
b
.
12.
(05.05 MC)
A survey asked, "If you were to buy a new vehicle, would you want a sport car or a sedan?" The results are presented in the following two-way table:
table:
Sedan Sport Total
Male 21 39 60
Female 135 45 180
Total 156 84 240
Which of the following is a two-way conditional frequency table for gender? (1 point)
A two-way conditional frequency table for this gender is shown in table A.
What is a frequency table?A frequency table can be defined as a type of table which is typically used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.
In this scenario, a two-way conditional frequency table for this gender would be constructed as follows:
Gender Sedan Sport Total
Male 0.35 0.65 1
Female 0.75 0.25 1
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for f(x) = 2x + 1 and g(x)=x^2 - 7, find (f - g)(x)
A. x^2 + 2x - 8
B. -x^2 + 2x + 8
C. 2x^2 - 15
D. -2x + 2x - 6
Answer: B
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)=(2x+1)-(x^{2}-7)=2x+1-x^{2}+7=\boxed{-x^{2}+2x+8}[/tex]
can someone pleasee
3.Samy withdrew 1/4 of his savings from the bank. He spent $450 of it and had $150 left. How much was his total savings in the bank at first?
Answer:
$2,400
Step-by-step explanation:
Total Amount withdrawn from bank = Withdrawn amount spent + Withdrawn amount remaining = $450+$150 = $600
1/4 of Savings in bank = $600
Total savings in bank = [tex]600/\frac{1}{4}[/tex]
= 600 * 4
= $2,400
if y= 2f(g(x)), then d^2y/dx^2=
Use the chain rule to differentiate both sides of the given equation with respect to [tex]x[/tex] :
[tex]y = 2 f(g(x))[/tex]
[tex]\dfrac{dy}{dx} = y' = 2 f'(g(x)) g'(x)[/tex]
Differentiate again with the product and chain rules to get the second derivative :
[tex]\dfrac{d^2y}{dx^2} = y'' = \boxed{2 f'(g(x)) g''(x) + 2 f''(g(x)) g'(x)^2}[/tex]
(D)
1) Which statement is needed to complete this syllogism? If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then it’s diagonals are perpendicular. Therefore, if ________________________, then it’s diagonals are perpendicular.
A) a quadrilateral has 4 congruent sides
B) it is a rhombus
C) it is a rectangle
D) it has diagonals
Statement A is needed to complete this syllogism. its diagonals are perpendicular. Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.
What is a syllogism?A logical structure for a formal argument that includes a major, minor, and conclusion.
This syllogism cannot be concluded without Statement A. The diagonals of it are parallel. As a result, a quadrilateral's diagonals are perpendicular if it has four congruent sides.
If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then its diagonals are perpendicular.
Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.
Hence option A is correct.
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Answer:
a quadrilateral has 4 congruent sides
Step-by-step explanation:
Syllogisms are connected by a shared statement that connects a hypothesis to a different conclusion.
PLS HELP THANK YOU I REALLY NEED IT
Answer:
25
Step-by-step explanation:
x+115=180 (straight angle)
x= 65
y= 180-90-65
=25
10 1/9 rounded to the whole or half
Answer:
Your answer is 68. Hope you got a big score!
2. analyze the data you gathered about the number of births in the united states in 2011.
a. what do you observe about michigan and florida? justify your conclusion by using the cartogram. (5points)
b. there were 4,008,000 births in the united states during 2011. what proportion of all national births are accounted for by michigan? what proportion of all national births are accounted for by florida? (5 points)
c. suppose a person born during 2011 in the united states is chosen randomly. is the person more likely to have been born in florida or michigan? explain. (5 points)
d. the population of the united states was 308,745,538 in 2011. there were 18,801,310 people in florida and 9,883,640 people in michigan. compute the probability that a randomly selected us resident in 2011 was living in florida. do the same for michigan. which is greater? (5 points)
e. the number of births in a region depends mostly on population size. there are also random fluctuations and regional differences. consider your answers about populations and birth rates. are your answers consistent with this fact? (5 points)
The figures show that the number of births for Florida and Michigan reduced
How to compute the probability?From the data sourced, the number of births in Florida in 2010 was 214519 while in 2011, it was 213237. For Michigan, there was decrease from 114717 to 114159.
When a person born during 2011 in the United States is chosen randomly, the person is more likely to have been born in Florida.
The probability that a randomly selected us resident in 2011 was living in Florida will be:
= 18,801,310/308,745,538
= 0.061
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If pound of cheese costs $3.43, what is the cost per pound?
PLS HELP
Answer:
$3.43
Step-by-step explanation:
Cost per pound means how much you are paying for one pound of the item. In this question it says a pound of cheese costs 3.43, therefore each pound of cheese costs 3.43. We can also use the equation 3.43x where x represents the amount of pounds you are purchasing. Just multiply the two and you will get a cost for any amount (pounds) of cheese.
which shows the best use of the associative and commutative properties to make simplifying -1/3 - 10 +7 + 2/3 +5 easier A.[5+(-1/3)+(-10]+(2/3+7) B.[-1/3+7+(-10)]+(5+2/3 C.[-1/3+(-10)]+[7+2/3+5] D.(-1/3+2/3)+[5+7+(-10)]
The answer choice which best uses the associative and commutative properties is; Choice C; [-1/3+(-10)]+[7+2/3+5].
Which best shows the use of associative and commutative properties?It follows from the answer choices that the best application of the associative and commutative properties is that which sums up all negative numbers and sums up all positive numbers and hence, choice C is the correct answer choice.
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What ordered pair is a solution of the equation?
y=-2x-5
[tex] \sf \underline{Answer:}
[/tex]
Pick any value for x, like x = 0, plug it into the equation, and get the value for y. For x = 0,
2(0) + y = 5
y = 5
The ordered pair is (0,5). Find other ordered pairs using the same reasoning.
[tex]2(0) + y = 5[/tex]
[tex]y = 5[/tex]
The ordered pair is (0,5).