The congruence postulate that applies is option B. Congruent - ASA.
What are congruent triangles?Two or more triangles are said to be congruent when on comparing their corresponding properties, they have a common value. The congruent relations can be used to express the equality property between the number of triangles.
Considering △ABC and △DEF, it has been given that;
i. <B ≅ <E
ii. <C ≅ <F
iii. BC ≅ EF
Since the relations between two internal angles and an included side has been given, then it can be deduced that the two triangles are congruent by Angle-Side-Angle relations.
The congruence postulate that applies is option B. Congruent - ASA.
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Each box has 15 brownies in it.
He handed out 1 4/5 boxes.
1/9 of the brownies had nuts.
How many brownies have nuts?
The number of brownies have nuts is 3.
We are given that;
Number of brownies=15
Number of boxes he handed out=1 4/5
Now,
To find the number of brownies that have nuts, we need to multiply the total number of brownies he handed out by the fraction of brownies that have nuts.
First, we need to find the total number of brownies he handed out. He handed out 1 4/5 boxes, which is equal to 9/5 boxes. To find the number of brownies in 9/5 boxes, we need to multiply 9/5 by 15, which is the number of brownies in one box. This gives us 9/5 * 15 = 27 brownies.
Next, we need to find the fraction of brownies that have nuts. The problem tells us that 1/9 of the brownies have nuts. This means that for every 9 brownies, one has nuts.
Finally, we need to multiply the total number of brownies by the fraction of brownies that have nuts. This gives us 27 * 1/9 = 3 brownies.
Therefore, by the unitary method the answer will be 3.
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Find all 3 solutions: 3 − 42 − 4 + 5 = 0
Answer:
Step-by-step explanation:
If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology
The roots are 14.09, 0.30 and -0.39 to nearest hundredth.
How do I solve this problem
Answer:
multiply all side than add the x
Step-by-step explanation:
joe was comparing sale prices of two stores at the mall to decide where to buy his new jeans. The two stores' sale banners are shown below.
If Joe plans to buy 1 pairs of jeans, which store offers a better deal after the discount
Answer:
I have answered this question before it is A on the paper
Image transcription textMatch the shape with its correct data set below:
A
C
Mean = 40, Median = 40, Mode = 40
A
Mean = 120, Median = 85, Mode = 63
[ Choose ]
Mean = 25, Median = 50, Mode = 77
[ Choose ]... Show more
Data set A is the correct match for the shape depicted in the image, where the mean, median, and mode are all equal to 40.
The first data set, A, matches with the shape depicted in the image. The mean, median, and mode are all equal to 40.
To understand what these measures represent, let's break them down:
- Mean: The mean is the average of all the values in a data set. In this case, all the values in data set A must add up to 40 when divided by the number of values.
- Median: The median is the middle value in a data set when arranged in ascending order. In this case, the median is also 40, which means that half of the values in data set A are below 40 and half are above 40.
- Mode: The mode is the value that appears most frequently in a data set. Here, 40 is the mode because it occurs more often than any other value in data set A.
Therefore, data set A is the correct match for the shape depicted in the image, where the mean, median, and mode are all equal to 40.
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Halima is on her way home in her car. She has driven 9 kilometers so far, which is one-third of the way home. What is the total length of her drive?
Answer:
27
Step-by-step explanation:
If 9 kilometers is 1/3, the total length of her drive would be 9: 1/3=9•3/1=27
Answer:
27
Step-by-step explanation:
if 9 kilometers is 1/3 of her journey then you should take 9 times 3 to find the total distance she needs to travel which is 27 kilometers
the margin of error of a confidence interval is the error from biased sampling methods. True or False
It is false, that the margin of error of a confidence interval is the error from biased sampling methods.
The margin of error of a confidence interval is the amount of accuracy in a sample with respect to the population. It is calculated by taking the sample standard deviation and dividing it by the square root of the sample size. The margin of error helps to quantify the reliability of estimates and provides a range within which the population parameter is likely to fall. It does not refer to errors in sampling methods, which are typically a result of bias. Bias is a systematic error that arises from the sampling procedure, resulting in estimates that are not an accurate representation of the population.
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please answer this urgently
Answer:
(a) 168/14=12
(b) 3x14= 42
(c) 81.2/14=5.8
the wacky widget company can make 120 of their wackiest widgets in 90 minutes. How many hours will it take them to complete a special order of 450 wackiest widgets?
The number of hours it would take to make 450 wackiest widgets is 4 hours 30 minutes.
How many hours would it take to make 450 widgets?The first step is to determine how many minutes it would take to make 1 widget.
Minutes it would take to make 1 widget ; 90 / 120 = 3 / 4 minutes
Number of minutes it would take to make 450 widgets: 3/4 x 450 = 270 minutes
Now convert minutes to hours : 270 / 60 = 4 hours 30 minutes
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Three runners in a relay race share the 8-mile distance equally. How many miles does each runner travel?
Answer: 2 2/3 miles
Step-by-step explanation:
From the question, we are informed that three runners in a relay race share the 8-mile distance equally.
The number of miles that each runner travel will be the total miles divided by number of runners. This will be:
= 8/3
= 2 2/3 miles
Three circles with radii of 4, 5, and 6 cm, respectively, are tangent to each other externally. Find the angles of the triangle whose vertexes are the centers of the circles.
Note that the angles of the triangle whose vertexes are the centers of the circles are 50.48°, 58.99°, 70.53°.
How is this so?Three circles with radii 4, 5, and 6 from a triangle whose sides are the sum of their radii in pairs.
Thus, the sides of the triangle are
4 + 5, 4 + 6, and 5+6.
⇒ 9,, 10, 11.
To find the interior angles
CosC = a² + b² + c²/ 2ab
Cost C = (9² + 10² -11²) / (2 x9x10)
= 81 + 100 -121/180
= 60/180
= 1/3
C = 70.53°
Similar
Cos A = (10² + 11² - 9²) / (2 x10x11)
= 100 + 12181 + /180
= 140/220
= 7/11
A = 50.48°
Cos B = 9² + 11² - 10²/ 2x 9 x 11
= 102/198
B = 58.99°
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
a chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt, and pepper. you have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. what is the probability that the first ingredient you add is either ground beef or onion?
The probability of adding either ground beef or onion as the first ingredient 0.25 or 25%.
If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:
Probability = (Number of desired outcomes) / (Total number of possible outcomes)
= 2 / 8
= 1 / 4
= 0.25
So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.
In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.
The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.
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PLEASE FIND THE ANSWER FAST!!!!
Step-by-step explanation:
(4.4)^2 = b^2 + (2)^2
(4.4)^2 - (2)^2 = b^2
root 19.36 - 4 = b
root 15.36 = b
8 root 6/5 (8 root 6 divided by 5) = b
Area of the parallelogram = b × h
= (8 root 6 divided by 5) × 4.4
= 17.24440779 cm^2
What is the volume of the right triangular prism?
15 ft?
30 ft
150 ft
300 ft
Here's link to the answer:
tinyurl.com/wpazsebu
you perform 7 sit-ups for every 2 pull- ups as part of an exercise routine. you perform 25 more sit-ups than pull-ups.How many sit-ups and how many pull-ups do you perform
I’ll give brainliest please help
Answer:
130
Step-by-step explanation:
91 is 70 percent of the price
70% of 130 is 130*0.7 = 91
When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US
dollar. He took d dollars on the trip. Which equation could be used to find
the value in Swedish krona, k, of the dollars?
PLS HELP ASAP
Answer:
k=0.12d
Step-by-step explanation:
Find the length of side x in simplest radical from with a rational denominator.
Answer:
4
Step-by-step explanation:
The value of the hypotenuse x will be equal to √6.
What are trigonometric identities?Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.
The study of correlations between triangles' side lengths and angles is known as trigonometry.
Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,
cosθ = Base / Hypotenuse
cos45 = √3 / x
x = √3 / ( 1 / √2)
x = √6
Therefore, the value of the hypotenuse x will be equal to √6.
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Write the equation in standard form of the line that has x-intercept 9 and y-intercept -9
\(\stackrel{ x-intercept }{(\stackrel{x_1}{9}~,~\stackrel{y_1}{0})}\qquad \stackrel{ y-intercept }{(\stackrel{x_2}{0}~,~\stackrel{y_2}{-9})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-9}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{9}}} \implies \cfrac{ -9 }{ -9 } \implies \cfrac{1}{1}\implies 1\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{ 1}(x-\stackrel{x_1}{9})\implies {\Large \begin{array}{llll} y=x-9 \end{array}}\)
any one pls helpp! i dont understand this???
Answer:
X= 10, 20, 30, 40, 50, 60
Step-by-step explanation:thats
thats all i know
Each side of an equilateral triangle has length x+3 and each side of a square has length 4x-2. Write an expression for the sum of their perimeters.
Please help me!!
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
Squares have 4 equal sides. Equilateral triangles have 3 equal sides.
Multiply the length of one side by the total number of sides for each shape to find the perimeter. Then combine like terms.
Answer:
square: 16x-8
triangle: 3x+9
Step-by-step explanation:
Ms Louis deposited the same amount of money each month into her bank
account. The table below shows the total amount of money, a, she
deposited into the account after a certain number of months, t. since
opening it. Which equation models the relationship between a and t?
Answer:
last one 250t
Step-by-step explanation:
if u pluged in 4 for t to the equation u would get 1000 which is the correct amount
hope this helped!
Answer:
a = 250t or Answer D
Step-by-step explanation:
Y = mx+b
m = (y2-y1)/(x2-x1)
m = (2500-100)/(10-4)
m = 1500/6 = 250
y = 250x+0
y = 250x
Factor this trinomial completely.
15x2 + 11x- 12
O A. (x+3)(15x – 4)
O B. (x + 4)(15x – 3)
O C. (3x + 4)(5x - 3)
O D. (3x + 3)(5x - 4)
Answer:
(5x-3)(3x+4)
Step-by-step explanation:
I hope this helps
6sin^2 (x) + 6sin (x) + 1 = 0
solve and show steps for the graph ( i already have the graph )
To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.
1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.
2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.
3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.
4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.
5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].
6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.
7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.
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The sides of a whiteboard are 20 inches by 10 inches. How many 2 inch by 2 inch Post-it notes will be needed to cover the entire whiteboard?
Answer:
50
Step-by-step explanation:
Given that:
Sides of whiteboard :
Length = 20 inches
Width = 10 inches
Dimension of post it notes :
Length = 2 inches
Width = 2 inches
Dimension of white board / dimension of post it notes :
Length = 20 / 2 = 10
Width = 10 /2 = 5
Amount of post it notes required to cover white board :
10 * 5 = 50 post it notes
What is 2x3+6divied by 12 +4X8+0=
Answer: 38.5
Step-by-step explanation:
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 727272 pencils and 242424 calculators and he must use all of the pencils and calculators.
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?
Answer:
3 pencils will be in each packageStep-by-step explanation:
72 Pencils
24 calculators
72/24 = 3/1
for Every one calculator 3 Pencils need to be used
Greatest number of Package = 24 as 24 Calculators are there
number of pencils in each package = 3 ( 72/24 = 3)
Answer:
3 pencils will be in each package
Step-by-step explanation:
You divide 727272 by 242424 to get 3
Calculate the volume in milliliters of a 1.420m naoh solution required to titrate 25ml of a 4.500m h2so4 solution
(balanced chemical equation naoh+h2so = na2so4+2h2o)
To calculate the volume of a 1.420M NaOH solution required to titrate 25mL of a 4.500M H2SO4 solution, we can use the stoichiometry of the balanced chemical equation and the concept of molarity.
The balanced chemical equation for the reaction between NaOH and H2SO4 is:
2NaOH + H2SO4 -> Na2SO4 + 2H2O
From the equation, we can see that 2 moles of NaOH react with 1 mole of H2SO4 to form 1 mole of Na2SO4 and 2 moles of H2O.
To find the volume of the NaOH solution required, we can use the molar ratios between NaOH and H2SO4. Since the molarity of the H2SO4 solution is given as 4.500M, it represents the number of moles of H2SO4 per liter.
By using the molar ratios from the balanced equation, we can calculate the moles of NaOH required to react with the given moles of H2SO4. Then, by dividing the moles of NaOH by the molarity of the NaOH solution, we can find the volume in liters. Finally, we convert the volume to milliliters.
Please provide the volume of the H2SO4 solution used in milliliters, as it is needed to perform the calculation.
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mason asked some classmates if they play video games or not. the ratio of friends who play video games to everyone he asked is . how many of his friends do not play video games?
Mason's friends do not play video games are 4.
Mason asked some classmates whether they play video games.
The ratio of friends who play video games to everyone he asked is given as some fraction or decimal value.
Let's assume that the ratio is in the form of "x:y",
"x" represents the number of friends who play video games, and "y" represents the total number of friends that Mason asked.
To find out how many of his friends do not play video games,
To subtract the number of friends who play video games from the total number of friends that Mason asked.
This is because the remaining friends who were not counted in the "x" value of the ratio must be those who do not play video games.
So, the number of friends who do not play video games can be calculated as:
Total number of friends - Number of friends who play video games = y - x
The ratio of friends who play video games to everyone he asked is 3:7,
It means that out of 7 friends, 3 play video games, and 4 do not play video games.
The number of friends who do not play video games can be calculated as:
y - x = 7 - 3 = 4
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The circle at each end of the court that surrounds the free throw line is the same size as the jump ball circle. (In other words, they have the same radius. ) What is the area of the rectangle (called the lane) whose length is 19 feet and whose width is the free throw line?
So the area of the rectangle (or lane) whose length is 19 feet and whose width is the free throw line, together with the two circles at each end of the court that surround the free throw line, is approximately 450.39 square feet.
What is the length of the rectangle and how many free throw line square feet?Since the circle at each end of the court that surrounds the free throw line is the same size as the jump ball circle, they both have the same radius. Let's call this radius "r".
The diameter of the circle is equal to the width of the lane, which is the same as the width of the free throw line. Therefore, the diameter of the circle is also 12 feet (the width of the free throw line is always 12 feet).
We know that the area of a circle is given by the formula A = πr^2, so the area of each circle is πr^2.
The rectangle (or lane) has a length of 19 feet and a width of 12 feet. Therefore, its area is simply the product of its length and width, which is:
A = 19 feet * 12 feet
A = 228 square feet
Since there are two circles, the total area of the circles is 2πr^2.
We know that the diameter of the circle is equal to the width of the lane, which is 12 feet. Therefore, the radius is half of the diameter, or:
r = 12 feet / 2
r = 6 feet
Now we can calculate the area of the circles:
A = 2πr^2
A = 2π(6 feet)^2
A = 72π square feet
Therefore, the total area of the rectangle and circles (or lane and circles) is:
A_total = A_rectangle + A_circles
A_total = 228 square feet + 72π square feet
A_total ≈ 450.39 square feet
So the area of the rectangle (or lane) whose length is 19 feet and whose width is the free throw line, together with the two circles at each end of the court that surround the free throw line, is approximately 450.39 square feet.
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