△ABC△ABC is similar to △XYZ△XYZ. Also, angle A measures 45° and angle C measures 60°.
What is the measure of angle Y?
Answers
C & Z= 60 degrees
There is 180 degrees in a triangle.
A+C=105 degrees
180-105=75
B = Y
Y=75 degrees
Answer: The value of angle Y is 75 ° .
Step-by-step explanation:
Given Δ ABC ≈ Δ XYZ
∠ A = 45°
∠ C = 60°
To find =
∠Y =? in ΔXYZ
Solution:
In Δ ABC
∠ A = 45 °
∠ C = 60 °
∠ B = ?
∠ A + ∠ C +∠ B = 180 ° (angle sum property of triangle)
∠ B = 75 °
Since, given that Δ ABC ≈ Δ XYZ and in similar triangles ,angles of respective vertices are equal. As shown in the image attached
∠ A = 45 ° = ∠ X
∠ B = 75 ° = ∠ Y
∠ C = 60 ° = ∠ Z
So, the value of angle Y is 75 ° .
Related Questions
The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false?
The ordered pair (−3,−6) is a solution for the first equation, and it is a solution for the second equation. Therefore, (−3,−6) is a solution to the system of equations. −4x+y=6
5x−y=21
true
or false
Answers
-4(-3) + (-6) = 6
12 + (-6) = 6
12 - 6 = 6
6 = 6
the ordered pair (-3, -6) is a solution to the first equation.
5x - y = 21. (-3, -6)
5(-3) - (-6) = 21
-15 - (-6) = 21
-15 + 6 = 21
-9 = 21
the ordered pair (-3, -6) is not a solution to the second equation.
hope this helped, God bless!
(−3,−6) is not a solution to the system of equations.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).
Given the system of equations −4x+y=6 and 5x−y=21.
At point (-3, -6), -4(-3) + (-6) = 6
Hence (-3, -6) is the solution to the first equation.
At point (-3, -6), 5(-3) - (-6) = -9 ≠ 6
Hence (-3, -6) is not a solution to the second equation.
Therefore (−3,−6) is not a solution to the system of equations.
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Which number line represents the following statement?
A number is more than negative five.
Answers
The open circle shows us that -5 is NOT in the solution. All the numbers greater than -5 ( x > -5) are in the solution.
Faith xoxo
So the dot on the 5 cannot be a colored dot, or else that means that "a number" can be 5, but it can't, because 5 is not more than 5 (confusing).
I hope this helps and isn't too confusing!
May
Which equation represents a line that passes through the point (1,6) and is parallel to the line y = 5 - 3x?
Answers
y-6=5x-5
y=5x+1 <—that is the answer
Which decimal is equivalent to 168/55?
A. 3.0
B. 3.05
C. 3.054
D.3.054
Answers
So, the answer is 3.054545454545, and it goes on. I can't tell if that is C or D, but whichever one has a repeated sign on top, that's the answer.
Hope that helped!
The decimal equivalent of the fraction 168/55, when rounded to three decimal places, is approximately 3.054. Therefore, either option C or D could be deemed correct.
Explanation:The question is asking to find the decimal that is equivalent to the fraction 168/55. To find this, we have to perform the division of 168 by 55. The division of 168 by 55 rounded to three decimal places yields 3.055. Comparing this value with the provided options, no option matches exactly. However, option C and D listed as 3.054 is closest.
However, please note that due to rounding, it can be said that they are approximately equivalent. Hence, the correct option could be considered as C or D: 3.054, as it is closest to the actual answer, 3.055, when accounting for rounding.
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Describe how to graph a line given an equation in standard form.
Answers
We have to get that equation right there into a slope intercept, which is just isolating the variable y.
2x+8y=16
-2x -2x Subtract the x value.
------------------
(8y=16-2x)/8 Divide the whole equation by 8 to isolate the y value.
------------------
y=2-1/4x
------------------
The fraction with the variable x is the slope. In this case, the slope is -1/4, so meaning it goes down one unit and goes right 4.
------------------
The 2 is the y-intercept. (0, 2)
Nina bought a package of 94 oatmeal cookies. The total weight of the cookies was 1 ounce. To the nearest hundredth of an ounce, how much did each cookie weigh?
Answers
you just divide 1/94
i will give brianliest
Lars bought 3 jars of marbles. Each jar has 42 marbles, of which 13 are red. Lars can use the calculation below to find the total number of red marbles.
3×(13×42)
How can Lars simplify the calculation using only the associative property of multiplication?
a1/3 b 3 c 42 d (3×13) e (13×42)
Answers
is your answer
just change the parenthesis from (13 x 42) to (3 x 13), since you will still get the same answer (using associative property of multiplication)
hope this helps :D
Answer:
3 times 1/3
Step-by-step explanation:
The product of the roots of 5 - 2m - 3m2 = 0 is:
Answers
Use Vieta's formulas:
[tex]ax^2+bx+c=0\\\\x_1\cdot x_2=\dfrac{c}{a}[/tex]
[tex]x_1;x_2[/tex]-the roots
We have
[tex]5-2m-3m^2=0\to a=-3;\ b=-2;\ c=5[/tex]
put the values of c and a to the expression:
[tex]m_1\cdot m_2=\dfrac{5}{-3}=-\dfrac{5}{3}[/tex]
Answer:
-2/3
Step-by-step explanation:
1. Which of the following could be an example of a function with a domain (-∞, ∞) and a range (-∞, 2)?
A. y= -(0.25)^x-2
B. y= -(3)^x-2
C. y= -(0.25)^x+2
D. y= -(3)^x+2
Answers
Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.How many ounces of fertilizer does Mr. Yu use per square meter for his lawn?Enter your answer in the box as a fraction in simplest form.
Answers
Keep Change Flip=
1/2 x 8/5= 0.8
0.8 = 8/10 simpified 4/5
Answer: 4/5
Answer: is 4/5
how i know because i did the quiz hope this helps
A recent poll of 380 randomly selected Americans showed that 24% ( = 0.24) are happy with their cell phone carriers. The country’s largest cell phone carrier would like to know, within a 90% confidence level, the margin of error for this poll. (90% confidence level z*-score of 1.645) Remember, the margin of error, E, can be determined using the formula E = z*. To the nearest tenth of a percent, the margin of error for the poll is %.
Answers
THE ANSWER IS 3.6% BECAUSE I JUST TOOK THE TEST AND GOT A 100%
Answer:
3.6%
Step-by-step explanation:
Given that A recent poll of 380 randomly selected Americans showed that 24% ( = 0.24) are happy with their cell phone carriers.
Sample size n =380
Sample proportion p = 0.24
q = 1-0.24 =0.76
Std error of p = [tex]\sqrt{\frac{pq}{n} } =0.0219[/tex]
Z critical value for 90% would be 1.645
Margin of error = ±1.645*std error
=±1.645(0.0219)
=±0.0361
i.e. in percent margin of error
3.61% = 3.6%
The largest part of landfills is made up of newspapers. A 30.48 cm stack of newspapers weighs about 15.87 kg. How many meters of newspapers are stacked up?
Answers
30.49cm x 1m/100cm = 0.3049m
The stack of newspapers is 0.3048 meters tall.
The student is asking how to convert the height of a stack of newspapers from centimeters to meters for a proper estimation of its volume in terms of the given weight. Since the question specifies a stack of newspapers that is 30.48 cm high and weighs 15.87 kg, we need to convert the height from centimeters to meters to find out how tall the stack is in meters.
To convert centimeters to meters, we divide the number of centimeters by 100, because there are 100 centimeters in a meter. Therefore:
30.48 cm / 100 = 0.3048 meters
So, the stack of newspapers is 0.3048 meters tall.
PLEASSEEE HELPPP
Daisy's friend calls her and asks her to meet at the park in exactly 40 minutes. Which method should Daisy use to most accurately determine when 40 minutes have passed?
A. Daisy should use a stopwatch with minutes and seconds.
B. Daisy should count the minutes in her head after she receives the call.
C. Daisy should use an hourglass and flip it over every time the sand runs out.
D. Daisy should look at a clock that shows hours and minutes only.
Answers
So that she is able to be there in EXACTLY 40 mins. to the second.
Hope this helps you!
Good luck!
Rewrite the following alebraic expression using the distributive property.
-2a(a+b-5) + b(6a+b-8)
Answers
) Why is the price system a more efficient system for allocating scarce resources than by authoritarian means, such as in command economies?
Answers
Step-by-step explanation:
Lets look at each of the options one by one:
Price System: In this system markets allocate resources through the price mechanism. An increase in demand raises price and encourages businesses to use more resources into the production of that good or service. In this system the government limits itself to protecting property rights of people and businesses using the legal system and protecting the value of money or the value of a currency.
Authoritarian System: In this system it is associated with a communist system. The scarce resources are owned by the government. The state allocates resources, and sets production targets and growth rates according to its own view of people's wants. They have their own idea of demand.
By comparing two systems it can be seen that Price System automatically moves resources to where they are most needed. So, price system is more efficient than authoritarian means.
10ac-x/11=-3 solve for a
Answers
2)Now you have 10ac -x = -33. Add x on both sides of the equal sign you get 10ac = -33 + x
3) Divide both sides by 10c to get "a" by itself, so "a" = -33+x divided by 10c
Answer:
The solution for the required variable is [tex]a=\frac{-33+x}{10c}[/tex]
Step-by-step explanation:
Consider the provided expression.
[tex]\frac{10ac-x}{11}=-3[/tex]
We need to solve the equation for a.
Multiply both the sides by 11.
[tex]10ac-x=-33[/tex]
Add x to both sides
[tex]10ac=-33+x[/tex]
Divide both the sides by 10c.
[tex]a=\frac{-33+x}{10c}[/tex]
Hence, the solution for the required variable is [tex]a=\frac{-33+x}{10c}[/tex]
Clara earns at least $36.75 but not more than $98 working. She earns $12.25 per hour. The number of hours it takes Clara to earn p dollars is modeled by a function. t(p)=p12.25 What is the practical range of the function?
Answers
The range of the function modelling the number of hours it takes clara to earn p dollars is;
A set of all real numbers from 3 to 8
Minimum dollars she earns working; p_min = $36.75
Maximum dollars she earns working; p_max = $98
number of hours it takes her to earn p dollars is given by;
t(p) = p/12.25
Now, range of a function is a set of all possible output values.
Thus, t(36.75) = 36.75/12.25
t(36.75) = 3 hours
Similarly;
t(98) = 98/12.25
t(98) = 8 hours
Since minimum time is now 3 hours and maximum time is now 8 hours, then the range of the function is;
3 ≤ t ≤ 8 which is a set of all real numbers from 3 to 8
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In which sentence is the appositive phrase punctuated correctly?
A.) Raul’s new car the color of a ripe tomato sat in the driveway.
B.) Raul’s new car the color of a ripe tomato, sat in the driveway.
C.) Raul’s new car, the color of a ripe tomato, sat in the driveway.
D.) Raul’s new car, the color of a ripe tomato sat in the driveway.
Answers
The answer is C.
Hope this helped!
The sentence that is an appositive phrase punctuated correctly is "Raul’s new car, the color of a ripe tomato, sat in the driveway." Option C is correct.
Given that,
Four punctuated phrases are given we have to determine which one is appositive.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The sentence given in Options A, B. and D are not appositive.
Sentance Raul’s new car, the color of a ripe tomato, sat in the driveway is an appositive sentence because is differentiate the 3 string with 2 commas.
Thus, the sentence that is an appositive phrase punctuated correctly is "Raul’s new car, the color of a ripe tomato, sat in the driveway." Option C is correct.
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Estimate the product of the expression below to the nearest whole number.
16.77 x 3.81
68
48
64
51
Answers
16.77 rounds to 17
3.81 rounds to 4
17X4 = 68
A trick I use for multiplying by 4 is to double the number twice
Example:
17 -> 34 -> 68
Write 46/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
Answers
A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed according to the rule R0, 180°. Which statements are true regarding the transformation? Check all that apply. The rule for the transformation is (x, y) → (–x, –y). The coordinates of L' are (–2,–2). The coordinates of M' are (–4,4). The coordinates of N' are (6,–1). The coordinates of N' are (–1,–6).
Answers
Given that the coordinate of L is (2, 2), then the coordinates of L' is (-2, -2).
Given that the coordinates of N is (1, 6), then the coordinate of N' is (-1. -6)
Therefore, the statements that are true regarding the transformation are:
The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of N' are (–1,–6).
Transformation involves changing the coordinates of a shape
The true statements regarding the transformation are: (a), (b) and (e)
The transformation rule is given as: R0, 180°
This means 180 degrees rotation
A 180 degrees rotation is represented as: (x, y) → (–x, –y) --- option (a)
So, we have:
L'= (-2,-2) --- option (b)
M' = (-4,-4)
N = (-1,-6) -- option (e)
Hence, the true statements are: (a), (b) and (e)
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WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!
John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the next 10 months. The extra cost paid by taking this deal is equivalent to what actual yearly rate of interest?
A. 36%
B. 63%
C. 33%
D. 3.6%
Answers
So Making $350 for 10 months = 10*350 = $3500
Total amount paid is 1500 + 3500 = 5000
So the amount of $5000 was paid to cover the cost of $4500 within the 10 months
So you would get 33.
YOU already payed 1500
3500 and 1500 equals 5000
So u paid $5000 to cover $4500 in 10 months
so it is 33% or C
Find the slope m of the tangent to the curve y = 8 + 4x2 − 2x3 at the point where x =
a.
Answers
Final answer:
The slope m of the tangent to the curve y = 8 + 4x² - 2x³ at the point where x = a is found by taking the derivative of y with respect to x, which yields m = 8a - 6a².
Explanation:
To find the slope m of the tangent to the curve y = 8 + 4x² − 2x³ at the point where x = a, we first need to compute the derivative of the function y with respect to x. The derivative of a function at a particular point gives us the slope of the tangent line at that point.
The derivative of y with respect to x is given by:
dy/dx = d(8 + 4x² - 2x³)/dx = 8x - 6x²
To find the slope at x = a, we substitute a into the derivative:
m = 8a - 6a²
So, the slope of the tangent line at the point x = a on the given curve is m = 8a - 6a²
PLEASE HELP ASAP
Graph the image of the given triangle after the transformation that has the rule (x, y)→(x+3, y−2) .
This is the triangle before you transform it.
Answers
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.
You are planning a restaurant. You will be open only for dinner and expect a steady flow of customers to your 20 tables. Assuming one party per table and an average check of $50 per party, how many times will you have to "turn" each table to make your revenue goal of $3000 per night? ("Turning" a table means seating a new party at it.) a) 1 b) 2 c) 3 d) 4
Answers
so your amount is 1000 dollars each time
To make 3000 dollars divide 3000 by 1000
3000/1000 = 3
You have to "turn" your tables 3 times
hope this helps
Answer:
C) 3
Step-by-step explanation:
I just did this math quiz on KM
Find the greatest common factor of 8a^3b^2 and 12ab^4.
Answers
In △ABC , GE=27 in.
What is the length of BE¯¯¯¯¯
?
Answers
Answer:
BE = 81Step-by-step explanation:
From the graph we can see that point G is the barycentre of the triangle, because it's formed by the intersection of the three medians of the triangle, which are defined as segments from a vertex to the midpoint of the opposite side.
From the intersection of all triangle medians we have that:
[tex]BG=2GE[/tex]
[tex]CG=2GF[/tex]
[tex]AG=2GD[/tex]
Also, we know by hypothesis that [tex]GE=27[/tex]. Replacing this value:
[tex]BG=2GE[/tex]
[tex]BG=2(27)=54[/tex]
Then, by sum of segments, we have:
[tex]BE=BG+GE[/tex]
[tex]BE=54+27=81.[/tex]
Therefore, BE = 81.
Consumer Math need help
Find the amount Social Security deducted: gross annual pay $45.397.
A- $1,736.44
B- $3,832.90
C- $4,327.90
D- $3,472.82
Answers
charles sold his 350 shares of stock for $11.25 a share. when his broker issued him the check for his sale of the stock the amount of the check was $3868.59. how much was the rate of commission that his broker charged him for the transaction
Answers
If his broker passed a check with the amount of $3868.59, we can divide this by what was actually made on the sale. The result will be the percentage that Charles got from the sale. $3868.59÷$3937.5≈0.98
Charles got approximately 98,2% of what was sold. This means that his broker got as commission approximately 1,8%.
Which ordered pair is the solution to the system of equations?
{y=x-4
{-4x+3y=-3
A.(0, −1)
B.(−9, −13)
C.(−6, −10)
D.(−6, 2)
Answers
-4x + 3(x - 4) = -3
Simplifying the equation,
-x = 9
Dividing both sides by -1 gives an answer of,
x = -9
Then, substitute the value of x in the first equation.
y = -9 - 4
y = -13
The answer to this item is letter B.
Hope this helped...
MARK ME BRAINIEST PLEASE
Answer:
B