Answer:
A. Angle Addition Postulate
Step-by-step explanation:
<AMC, <CMD, and <DMB are three angles on a straight line which makes up <AMB.
According to angle addition postulate, the measure of <AMB is the sum of these three angles.
Therefore, angle addition postulate justifies Allison's statement that states:
<AMC + <CMD + <DMB = <AMB.
Definition of supplementary angles deals with two angles adding up to equal 180°. So, definition of supplementary angles definitely does not justify his statement.
Segment addition nor construction of an angle bisector do not also justify his statement.
The right answer is: A. Angle Addition Postulate.
Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.
The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.
How will we determine the number of cats and doge Beas initially had in her pet shop?The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:
d = 2c - 5
d + 3 = c + 3
No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.
To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.
d = 2c - 5
d + 3 = c + 3
We can solve the system of equations using substitution:
d = 2c - 5
d + 3 = c + 3
d + 3 = c + 3
d = c + 3
2c - 5 = c + 3
2c = c + 8
c = 8
Once we determine the value of c, we can plug it back into either equation to find the value of d:
d = 2(8) - 5
d = 15 - 5
d = 10
Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.
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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.
In STU, the measure of ZU=90°, the measure of ZT=26°, and US = 13 feet. Find the length of ST to the nearest tenth of a foot. I WILL MARK U AS BRAINST
The length of ST in the triangle STU, we can use the sine rule. Given that the measure of angle ZU is 90°, angle ZT is 26°, and US is 13 feet, we can calculate the length of ST to the nearest tenth of a foot. Therefore, the length of ST in the triangle STU is approximately 5.45 feet.
In triangle STU, we have angle ZU as a right angle, which means triangle STU is a right triangle. The sine rule can be used to relate the lengths of the sides and the measures of the angles in a triangle. The sine rule states that in any triangle, the ratio of a side length to the sine of its opposite angle is constant.
Using the sine rule, we can write:
ST / sin ZT = US / sin ZU
Given that sin ZU = 1 (since ZU is a right angle), and US = 13 feet, we can substitute these values into the equation:
ST / sin 26° = 13 / 1
To find the length of ST, we can solve for it:
ST = sin 26° * 13
Evaluating the right-hand side of the equation, we find:
ST ≈ 5.45 feet (rounded to the nearest tenth of a foot)
Therefore, the length of ST in the triangle STU is approximately 5.45 feet.
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children should develop strategies for remembering the facts before they engage in drill and practice to develop fluency
Developing strategies for remembering facts is essential for children before they engage in drill and practice activities to develop fluency. By establishing these strategies, children can effectively learn, retain, and recall information, ultimately enhancing their performance during practice sessions.
Yes, it is important for children to develop strategies for remembering facts before engaging in drills and practice to develop fluency. By doing so, children can enhance their ability to recall information more quickly and accurately, making it easier for them to perform well on tests and assignments. Strategies such as visualizing, chunking, and using mnemonic devices can help children remember information more effectively. Once these strategies are established, drill and practice can then be used to further reinforce their understanding and speed up their recall time. This approach can ultimately lead to improved academic performance and a stronger foundation for learning.
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I NEEEED answers WITH 5.3.3 in CONNEXUS FOR MATH PLSSS
A square has a perimeter of 12 units. One vertex is at the point left-parenthesis negative 1 comma 1 right-parenthesis, and another vertex is at the point left-parenthesis 2 comma 4 right-parenthesis. Which of the following points could be another vertex?
A. left-parenthesis 1 comma 2 right-parenthesis
B. left-parenthesis 2 comma 1 right-parenthesis
C. left-parenthesis 1 comma negative 2 right-parenthesis
D. left-parenthesis 2 comma negative 1 right-parenthesis
Another possible vertex of the square is determined as (2, 1).
option B is the correct answer.
What is the vertex of the square?The vertex of a figure is the point of intersection of two sides of the shape.
The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;
P = 12 units
a side length = 12 units / 4 = 3 units
To determine another possible vertex of the square, the length between the points must be equal to 3.
Let's consider point A;
A = (1, 2)
given vertex = (-1, 1)
distance between the points = √ (-1 -1)² + (1 - 2)² = √5
Let's consider point B;
B = (2, 1)
given vertex = (-1, 1)
distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3
Thus, point B is another possible vertex of the square.
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orange squash diluted 1 part squash to 7 parts water. Making 2 litres of diluted squash. How much water is needed?
We need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water
The number of waterTo make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water, we need to calculate how much water is needed.
We can do this by using the following formula:
Water = Diluted Squash - Squash First, we need to find out how much squash is in 2 litres of diluted squash.
Since the ratio is 1:7, we can divide 2 litres by the total number of parts (1 + 7 = 8) to find out how much squash is in 2 litres of diluted squash: Squash = 2 litres / 8 = 0.25 litres
Now we can use the formula to find out how much water is needed:
Water = 2 litres - 0.25 litres = 1.75 litres
Therefore, we need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water.
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In Ehis emecius yose tunction will freeice four parameters. These parameters cortespond to stathitici far a baschall plaper's trading card. The tutction will use these paramesers for values in a dictlonary. The krys for each value are sone ited below. Finalic the function will frimen the dicfionary confructed wirhthese valums Function Name value__to_ded Parameters - at baca 1 an integer value (ley ia An - hisa l an inteser value (ier it ef\} - baeting average i float value (beria sval Return Value A detianary with the ken MS, 旦, Ma1, and A at. The values far each of these thould come from the irsut. parameters. Examples Exercise: values_to_dict Description In this exercise your function will receive four parameters. These parameters correspond to statistics for a baseball player's trading card. The function will use these parameters for values in a dictionary. The keys for each value are specified below. Finally, the function will return the dictionary constructed with these values. Function Name values_to_dict Parameters - at_bats : an integer value (key is AB) - hits : an integer value (hey is y) - runs_batted_in ; an integer value (key is RBI) - batting_average ia float value (key is AVG) Return Value A dictionary with the keys AB, H, RAI, and AVG. The values for each of these should come from the input parameters, Examples
These specifications match the data on a baseball player's trade card. The function will create a dictionary with keys for each of the supplied arguments ('AB', 'H', 'RBI', and 'AVG'). The function will finally return the built dictionary with the specified values for each key.
The `values_to_dict()` function will be implemented with four parameters corresponding to the statistics of a baseball player's trading card. The function will use these parameters for the values in a dictionary, and the keys for each value are provided below.Function Name: values_to_dictParameters:- `at_bats`: an integer value (key is AB)- `hits`: an integer value (key is H)- `runs_batted_in`: an integer value (key is RBI)- `batting_average`: a float value (key is AVG)Return Value: A dictionary with the keys AB, H, RAI, and AVG. The values for each of these should come from the input parameters.Example:Here's the function `values_to_dict()` implementation in Python:def values_to_dict(at_bats: int, hits: int, runs_batted_in: int, batting_average: float) -> dict:
# dictionary with keys and values
player_stats = {
"AB": at_bats,
"H": hits,
"RBI": runs_batted_in,
"AVG": batting_average
}
# return dictionary
return player_statsThe function will accept four parameters (`at_bats`, `hits`, `runs_batted_in`, and `batting_average`).
These parameters correspond to the statistics of a baseball player's trading card. The function will construct a dictionary with keys (`AB`, `H`, `RBI`, and `AVG`) and values for each of the given parameters. Finally, the function will return the constructed dictionary with the given values for each key.
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One end of a ramp is raised to the back of a truck 1 meter
above the ground. If the length of the ramp is 2 meters,
what is the measure of the angle the ramp makes with the
ground?
Answer:
26.6°
Step-by-step explanation:
The measure of the angle the ramp makes with the ground is approximately 30 degrees.
We have,
To find the measure of the angle the ramp makes with the ground, use trigonometry.
In this case, a right triangle is formed by the ramp, the ground, and the vertical height of 1 meter.
Denote the angle the ramp makes with the ground as θ (theta).
Using the trigonometric function "sine" (sin), we can set up the following equation:
sin(θ) = opposite/hypotenuse
The opposite side is the height of the ramp, which is 1 meter, and the hypotenuse is the length of the ramp, which is 2 meters.
So,
sin(θ) = 1/2
θ = arcsin(1/2)
Using a calculator or a trigonometric table.
θ = arcsin(1/2) = 30 degrees.
Therefore,
The measure of the angle the ramp makes with the ground is approximately 30 degrees.
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PLEASE HELP I WILL GIVE BRAINLEIST!!!
7. The two equations have different solution steps. Do they have the same solution?
Use the distributive property to show why this answer makes sense.
Answer:
Yes, they have the same solution.
Step-by-step explanation:
Both of these equations have the same solution, just different steps.
To solve Ravi's equation, first we use the distributive property.
2(x+14) = 40
Multiply 2 by x and 14
2x + 28 = 40
Subtract 28 from both sides.
2x + 28 - 28 = 40 - 28
2x = 12
Divide by 2 on both sides.
2x/2 = x
12/2 = 6
so x = 6.
Fran's equation is the same equation as Ravi's second step.
Her equation of 2x + 28 = 40 is Ravi's after distributing 2.
Answer:
2(x+14)=40
2(x+14)=40
÷2 ÷2
x+14=20
-14 -14
x=6
2x+28=40
-28 -28
2x=12
÷2 ÷2
x=6
I hope this is what you wanted:
From a point 12 m from the wall of a tall building an observer with a sextant measures the angle of elevation of two windows, one above the other, as 61 ∘ 56 ′ and 71 ∘ 4 ′ respectively. What is the vertical distance between the windows?
The vertical distance between the windows is approximately 10.07 meters.
To find the vertical distance between the windows, we can use trigonometry. Let's consider the observer's line of sight as a line from the observer's position to the top window. This forms a right triangle with the vertical distance between the windows as the opposite side, the horizontal distance as the adjacent side, and the line of sight as the hypotenuse.
Using the trigonometric function tangent, we can calculate the vertical distance:
For the top window:
tan(71° 4') = vertical distance / 12 m
Solving for the vertical distance gives:
vertical distance = 12 m * tan(71° 4')
For the bottom window:
tan(61° 56') = (vertical distance + x) / 12 m
Solving for the vertical distance gives:
vertical distance + x = 12 m * tan(61° 56')
Now, subtracting the two equations, we get:
x = 12 m * (tan(61° 56') - tan(71° 4'))
Substituting the values and calculating, we find that the vertical distance between the windows is approximately 10.07 meters.
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Find the exact value of the expression. Do not use a calculator. 10) cos 120 tan 60° 10) A)- D)-1 Use the fact that the trigonometric functions are periodic to find the exact value of the expression.
The exact value of the expression is therefore -1/2 - √3, which is option B.
Given that cos 120 tan 60°We know that the trigonometric functions are periodic in nature, and have values at each of the quadrant angles. Thus we can manipulate the given expression to determine an exact value:
cos 120 tan 60° = cos (120 + 180) tan (60 + 180)
Since the cosine function is negative in the second quadrant, and tangent is negative in the third quadrant, we can find exact values for the cosine and tangent of the quadrant angles 120 + 180 and 60 + 180, respectively.
Using the reference angles of 120 and 60 degrees, respectively, we can write:
cos (120 + 180) tan (60 + 180)
= -cos 120 -tan 60
= -(1/2) - √3
The exact value of the expression is therefore -1/2 - √3, which is option B.
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remove brackets (x + 1)(x +3)
Answer:^2+4x+3
Step-by-step explanation:
Step-by-step explanation:
=>(x+1) (x+3)
=>x^2+3x+x+3
=>x^2+4x+3
..............Answer.......
Will give Brainliest!! This graph models the number of teachers assigned to a school, as determined by the number of students. What is the constant of proportionality? Number of Teachers A line graph titled Number of Teachers has number of students on the x-axis, and number of teachers on the y-axis. For every 60 students, there are 4 teachers; 120, 8. StartFraction 1 over 25 EndFraction StartFraction 1 over 20 EndFraction StartFraction 1 over 15 EndFraction StartFraction 1 over 10
Answer:
b
Step-by-step explanation:
rude people delete meh answers
rude the answer is b
thank u very much now i must b on my way
Answer:
Its B
Step-by-step explanation:
Because the first one is correct give the credit to her.
i need help A S A P!
Answer:
ewfwefwfewfwfwe
Step-by-step explanation:
Please help!! Giving brainliest and extra points!!
Answer:
circumference
Step-by-step explanation:
A relationship might exist in a sample even though it does not exist in the population, because of: a incorrect inference b.sampling error c. confounding variables d. idiosyncratic variance
A relationship might exist in a sample even though it does not exist in the population, because of b) Sampling error
In statistical analysis, a relationship might appear in a sample even though it does not exist in the population due to sampling error. This occurs when the sample is not fully representative of the population, leading to discrepancies between the sample statistics and the true population parameters.
Sampling error can cause random fluctuations that mistakenly suggest a relationship, which may not be present in the larger population. It is important to consider the limitations and potential sources of error when generalizing findings from a sample to the broader population. So b option is correct.
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A store sells an 8-pound bag of flour for $18.80. If larry can buy a 2-pound bag of flour at the same rate, what would be the price of the 2-pound bag?
Answer:
$4.70
Step-by-step explanation:
First, you need to divide 18.80 by 8.
18.80/8 = 2.35
2.35 is the unit price for one (1) pound bag of flour,
Multiply by 2 to find the price of a two (2) pound bag.
2.35 * 2 = 4.7
$4.70 is the price of a two-pound bag.
hope this helps :)
it looks easy i just dont know how to do it can someone help me out
Answer:
16
Step-by-step explanation:
16+4x = 10 +14
-16 -16
4x = 8
/4 /4
x=2
8x=8(2)
=16
Calculate the new perimeter using a scale factor of 1/4
Answer:
i think its 90
Step-by-step explanation:
Using the sine rule, calculate the length d.
Give your answer to 2 d.p.
Using the sine rule, the value of d in the triangle is 28.98 degrees.
How to find the side of a triangle?The side of a triangle can be found using the sine rule. The sine rule can be represented as follows:
a / sin A = b / sin B = c / sin C
Therefore,
38.5 / sin 65 = d / sin 43°
cross multiply
38.5 × sin 43° = d sin 65°
divide both sides by sin 65°
d = 38.5 × sin 43° / sin 65
d = 38.5 × 0.68199836006 / 0.90630778703
d = 26.256615 / 0.90630778703
d = 28.9808112583
d = 28.98 degrees
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3x + y =z
solve for x
Answer:
z-y/3
Step-by-step explanation:
3x+y=z
3x=z-y
x=z-y/3
An expression is defined as a set of numbers, variables, and mathematical operations. The expression 3x + y =z can be solved for x as x=(z - y)/3.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the expression 3x + y =z, solving it for x, the equation will be,
3x + y =z
3x = z - y
x = (z - y)/3
Hence, the expression 3x + y =z can be solved for x as x=(z - y)/3.
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How is this decimal 65.5 written in word form ??
Answer: Sixtyfive point five
Step-by-step explanation:
this is how we "speak" decimals. the dot is called a point, and the numbers are read as is.
if a data set is normally distributed what percent of the data will lie below the mean
Explanation:
The normal curve, aka bell curve, has mirror symmetry with the mean at the very center. Half of the data is below the mean, while the other half is above the mean.
About 68% of the data will lie below the mean in a normally distributed data set. This is known as the Empirical Rule, which states that if a data set is approximately normally distributed, then approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
.Use any basic integration formula or formulas to find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
x − 1/3x dx
the required indefinite integral is x³/3 - x²/6 + C.
Given: x − 1/3x dx We need to find the indefinite integral. To integrate the above function, we can use the following basic integration formulas.
∫x dx = 1/2x² + C∫k dx
kx + C∫xⁿ dx = xⁿ⁺¹ / (n + 1) + C,
where n ≠ -1The given function is of the form x - 1/3x. We can write it as (3x² - x)/3.Now,
we can integrate (3x² - x)/3 using the basic integration formula.
∫(3x² - x)/3 dx= 3/3 ∫x² dx - 1/3 ∫x dx
∫x² dx - 1/3 ∫x dx= x³/3 - x²/6 + C On substituting the value of x, we get
∫(x - 1/3x) dx= ∫(3x² - x)/3 dx
x³/3 - x²/6 + C
Hence, the required indefinite integral is x³/3 - x²/6 + C.
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X-3=19
solve for the variable X
please show your work
thx :)
Answer:
22
Step-by-step explanation:
x-3=19
+3 +3
=22 so there for x=22
help help help!!!!!!!
Answer:
the 3 dot AC, BC, BA
Step-by-step explanation:
Answer:
Answer answer answer
Step-by-step explanation:
What Is This?????????????
Answer:
1) c
2)F
3)B
4)J
5)D
6)most = orange and least = watermelon
7)0.2 , 0.25, 0.79, 7/8
8) grapes
9) D
10) F and G
Step-by-step explanation:
DIFFERENCE OF SQUARES (DOTS)
factor: X²-100
Answer: \((x+10)(x-10)\)
Step-by-step explanation: Difference of squares is an important element in understanding square functions. In order to identify difference of squares, the equation should be given in the form a^2-b^2. You can factor it completely when b^2 can be square rooted perfectly and write the factored expression as (a-b)(a+b) as I have done above.
mrs. ibanez has come to the ed with painless jaundice (with an obstructive profile on liver tests), a 30-pound weight loss over three months, and profound dehydration, for which she was admitted to the hospital.
Mrs. Ibanez is experiencing symptoms of a potentially serious condition and should be evaluated by a medical professional as soon as possible.
What is a potentially serious condition?Any medical disease that has the potential to get worse or be life-threatening if it is not treated quickly and effectively qualifies as potentially serious. Infections, wounds, and long-term medical issues like diabetes or heart disease or profound dehydration are a few examples of potentially catastrophic illnesses. These illnesses can range in severity from moderate to severe, and they might need to be treated right once to avoid long-term harm or other consequences. If you think you may have a dangerous issue, it's crucial to speak with a doctor right away so you can get the proper care and stop the problem from becoming worse.
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Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
What is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001) in standard form?
The standard form of the given numbers is 207360 × 10¹⁷.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given the numbers is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)
Now standard form means we need to write the exponents form.
So,
5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360
And
1,000,000 x 100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷
So, combine 207360 x 10¹⁷
Hence "The standard form of the given numbers is 207360 × 10¹⁷".
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