Based only on the information given in the diagram, it is guaranteed that
AJKL ~ AWXY.
27°
A
63"
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
Given
In JKL, we have:
[tex]\angle J = 27[/tex]
[tex]\angle K = 90[/tex]
In WXY, we have:
[tex]\angle Y = 63[/tex]
[tex]\angle X = 90[/tex]
Required
Is JKL ~ WXY?
In both triangles, we already have one similar angle (90)
Next, is to determine the third angles in both triangles.
In JKL
[tex]\angle J + \angle K + \angle L = 180[/tex]
We have that:
[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]
The expression becomes:
[tex]27 + 90 + \angle L = 180[/tex]
[tex]117 + \angle L = 180[/tex]
[tex]\angle L = 180-117[/tex]
[tex]\angle L = 63[/tex]
In WXY
[tex]\angle W + \angle X + \angle Y = 180[/tex]
We have that:
[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]
The expression becomes:
[tex]\angle W + 63 + 90 = 180[/tex]
[tex]\angle W + 153 = 180[/tex]
[tex]\angle W = 180-153[/tex]
[tex]\angle W = 27[/tex]
The three angles in JKL are:
[tex]\angle J = 27[/tex] [tex]\angle K = 90[/tex] [tex]\angle L = 63[/tex]
The three angles in WXY are:
[tex]\angle W = 27[/tex] [tex]\angle X = 90[/tex] [tex]\angle Y = 63[/tex]
By comparing the angles, we can conclude that both triangles are similar because of AAA postulate (Angle-Angle-Angle)
Related Questions
Help pls I'm really busy and if I get ur help you will make my whole day :(
Answers
Answer:
1.) 7 ft = 84 in 2.) 100 yd= 300 ft 3.) 96 oz= 6 lbs 4.) 32 fl oz= 4 c 5.) 48 oz 6.) 80,000 lbs
Step-by-step explanation:
You have to use conversation rates.
1. 84
2. 300
3. 6
4. 4
5. 48
6. 80,000
Step-by-step explanation: I hope this made your day ツ
find sq.root of 19.537 by division method?
Answers
Answer:
4.42 is the answer........
Step-by-step explanation:
Im not sure
The vertices of a rectangle are A(2, 0), B(5, 0), C(5, −2), and D(2, −2). Reflect the rectangle in the y-axis, and then rotate the rectangle 180° about the origin. What are the coordinates of the image?
Answers
Answer:
A′(-2, 0), B′(-5, 0), C′(-5, 2), and D′(-2, 2)
Step-by-step explanation:
I did FLVS (Online School stuffs)
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.3694.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
1) The estimate, a predicted time of 81.54 minutes, is reliable but unreasonable.
2) The estimate, a predicted time of 81.54 minutes, is unreliable but reasonable.
3) The estimate, a predicted time of 81.54 minutes, is both unreliable and unreasonable.
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Answers
Complete question :
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
Answer:
81. 54
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Step-by-step explanation:
Given that :
The equation of best fit is defined as :
ý = -0.36x + 94.5.
A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :
x = 36
From the model :
ý = -0.36(36) + 94.5
y = - 12.96 + 94.5
y = 81.54
Hence.nunber of minutes spent with family = 81.54 minutes.
B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.
How to solve this problem
Answers
Answer:
Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
Step-by-step explanation:
We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i
Prime factors of 81 are: 3x3x3x3
and [tex]\sqrt{-1}=i[/tex]
Solving:
[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]
So, Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices
Answers
Answer: There are 990 croissants
Step-by-step explanation:
If 45% of them are pretzels then 55% of the pastries hs to be croissants.
Multiply 55% by the total number of pastries to find the number of croissants.
55% * 1,800 = 990
Mr. Burnett, the school librarian, is ordering new keyboards and mice for all of the school's
computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3
computer labs in the school, and each computer lab has s computer stations.
Pick all the expressions that represent how much Mr. Burnett will spend on new keyboards
and mice.
3(13.50s + 6.50s)
20.00s + 3
(13.50s + 3) + (6.50s + 3)
3(20.00)
Answers
Answer:
so 3 X 13.50 + 6.50) so add first because of this order of operations (pemdas), parenthesis, exponent, multiply, divide, add, subtract
Step-by-step explanation:
How to solve
3sin^2x-5sinx-2
Answers
Become one with the lord
Read the bible
Too many sins
Ask the lord for forgiveness
Thats how you solve you answer
Explanation
Listed above
Bababoey
From midnight to 11:00 am, the temperature dropped 1.1°C each hour. If the temperature at 11:00 am was -16.1°C, what was the temperature at midnight?
Answers
Answer:
-41.4°C
Step-by-step explanation:
1.1 * 23 = 25.3
16.1 + 25.3 = 41.4
(I prefer working with positive numbers and just switch the sign at the end)
Hope this helped.
-Pepsi
The temperature at midnight was approximately -28.2°C, here the temperature dropped by 1.1°C each hour.
From midnight to 11:00 am, there are a total of 11 hours (since 11:00 am is 11 hours after midnight).
Given that the temperature dropped 1.1°C each hour, the total temperature drop is 1.1°C/hour × 11 hours = 12.1°C.
To find the temperature at midnight, we subtract the total temperature drop from the temperature at 11:00 am:
Temperature at midnight = Temperature at 11:00 am - Total temperature drop
= -16.1°C - 12.1°C
= -28.2°C
Therefore, the temperature at midnight was approximately -28.2°C.
Learn more about the temperature here:
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Answer if u know PLS
Answers
Answer: Fourth Option: |-23.6|
Reason: 15 is fifteen units away from zero. -13 is thirteen units away from zero. 20.5 is twenty point five units away from zero. And |-23.6| is twenty three point six units away from zero. Hence the last option being the furthest from zero.
I hope this helps, and Happy Holidays! :)
Identify the errors made in finding the inverse of
y = x2 + 12x.
x= y2 + 12x
y2 = x - 12x
y2=-11x
y=-11x, for x > 0
Describe the three errors?
Answers
Step-by-step explanation:
y = x2 + 12x.
x= y2 + 12x would also be 12 y
y2 = x - 12x would be -x
y2=-11x
y=[tex]\sqrt{-11x}[/tex], for x > 0 negative square root not possible
Describe the three errors?
The three errors made in finding the inverse of y = x² + 12x are,
⇒ First mistake to write 12y in place of 12x.
⇒ Second mistake to write the expression y² = x - 12x.
⇒ Third mistake because it never possible negative square root for x > 0.
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.
We have to given that;
The expression is,
⇒ y = x² + 12x
Here, The process are,
⇒ y = x² + 12x.
⇒ x = y² + 12x
There is first mistake to write 12y in place of 12x.
⇒ y² = x - 12x
There is second mistake.
⇒ y² = -11x
⇒ y = √-11x, for x > 0
There is third mistake because it never possible negative square root for x > 0.
Learn more about the mathematical expression visit:
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I need help please I am having hard time doing this
Answers
Answer:you are corect its negetive
Step-by-step explanation:
A class trip to a beach has been planned for your senior trip. The lifeguard is only on duty when the temperature is between 70 degrees and 105 degrees. There is room for 60 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.
x > 70 and y 70
70 < x < 105 and 0 < y ≤ 60
Answers
Answer:
70 < x < 105 and 0 < y ≤ 60
Step-by-step explanation:
The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given:
The Range of temperature is between 70 and 105 degrees.
So, x lies between these two temperatures so x must be greater than 70 degrees but less than 105 degrees.
Therefore, x > 70and x < 105.
On combining these two inequalities we get,
70 < x < 105
Now, number of people that can come for the trip is 60.
y represents the number of people for the trip. So, y can be at most 60.
Or, y ≤ 60 must be less than or equal to 60 and is given as:
Hence, the constraints are:
70 < x < 105 and 0 < y ≤ 60
The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.
Learn more about inequality ;
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What is the value of x in the equation 0.75x+3=6(x-3)?
Answers
Answer:
x = 4
Step-by-step explanation:
Given
0.75x + 3 = 6(x - 3) ← distribute
0.75x + 3 = 6x - 18 ( subtract 0.75x from both sides )
3 = 5.25x - 18 ( add 18 to both sides )
21 = 5.25x ( divide both sides by 5.25 )
4 = x
Write the word or phrase that best completes each statement or answers the question.
Answers
solve your answer in the simplest form or as a mixed number.
5 7/9 + 4 5/6
Answers
Answer:
10 11/18
Step-by-step explanation:
5 42/54 4 45/54
9 87/54
10 33/54
10 11/18
pleas give me a brainliest if this helped
Answer:
The answer is [tex]10\frac{11}{18}[/tex]
Step-by-step explanation:
Given fractions are:
[tex]5\frac{7}{9} + 4\frac{5}{6}[/tex]
The given fractions are mixed fractions whose sum has to be found. In order to do this, the mixed fractions are first converted into proper fractions then the LCM is taken to find the sum.
So,
Converting the fractions into proper fractions
[tex]=\frac{52}{9} + \frac{29}{6}[/tex]
Taking LCM
[tex]=\frac{104+87}{18}\\=\frac{191}{18}[/tex]
Converting into mixed fraction
[tex]=10\frac{11}{18}[/tex]
Hence,
The answer is [tex]10\frac{11}{18}[/tex]
Which of the following is an arithmetic sequence?
O A. 2, 4, 16, 32,
O B. 5,-5, 5, -5,..
OC. 2,3, 7, 1, ..
OD. 3, 0, -3, -6
Answers
Answer:
D
Step-by-step explanation:
because it has a varying and uniform difference of -3
A restaurant surveyed consumers to determine if they like hot or cold beverages for breakfast. 60 consumers like hot beverages, and 40 like cold beverages, and 12 neither, how many consumers were surveyed
Answers
Answer:
112
Step-by-step explanation:
You just have to add all of those numbers
60 +40 =100
100 + 12= 112.
Answer:
92 people
Step-by-step explanation:
Since there is 20 people who liked both hot and cold beverages, we can subtract from the people who like hot beverages and people who like cold beverages to find the people who ONLY like hot beverages and the people who ONLY like cold beverages.
People who only like cold beverages:
40 - 20 = 20
People who only like hot beverages:
60 - 20 = 40
Summing it all up:
40 + 20 + 20 + 12 = 92 people total
I hope this helps! :)
Plz Help! Will give Brainliest!!!
Kennan graphed the location of several places in his town on the coordinate plane shown below. Determine if each statement about Kennan's graph is true or false. True False The library is 555 units from the yyy-axis. The school is located at (0,6)(0,6)left parenthesis, 0, comma, 6, right parenthesis.
Answers
Answer:
Concept: Graph Analysis
The library is 5 units to the left from the y-axis hence the statement is TrueThe School is not located at (0,6) it is located at (6,0) hence the statement is False-12 -9 (t-3) = 78
t=?
Answers
Answer:
equals -43
Step-by-step explanation:
Multiply -9 by t and -3 so:
-9(t-3)
-9t + 27
Now add that back to the equation:
-12 -9t +27 = 78
Now combine -12 and 27:
-12-9t +27 =78
15 -9t = 78
Since 15 is positive ( there is no - sign), we need to subtract 78 by 15:
15 -9t = 78
-15 -15
We subtracted and not added because the opposite of addition is subtraction. Now, we have:
-9t = 63
To find t, we need to divide -9t because we are trying to get t to be alone, so:
-9t = 63
————-
-9t -9t
So now, we have:
t= -7
We have a positive t because a negative divided by a negative is equal to a positive.
So, the answer is :
t = -7
Hope this helps, and would you please rank this brainiest?
The lines A and B are parallel. Identify a pair of corresponding angles?
Answers
Answer:
2 and 5............................
Answer:
Yes. 2 & 5 / 4 & 8 / 1 & 6 / 3 & 7 (Choose one yourself)
Step-by-step explanation:
Corresponding angles are angles that have one angle outside a pair of parallel lines and one angle within it and they are equal to each other.
7/4 fraction in lowest term
Answers
1. 4/5 - 1/6
2. 3/10 - (-1/4)
3. -2/3 + (3/4 + 5/3)
Answers
2. Answer: 11/20 or 0.55
3. Answer: 7/4 or 1 3/4 or 1.75
2.11/20
3.7/4
Which statement about graphs and their inverse is true?
Answers
Which of the
the
following fractions is the largest
11/16 , 3/5 , 7/10 , 13/18
Answers
Answer:
11/16, 3/5, 7/10
Step-by-step explanation:
Which iWhich expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 + 4x 2x – 10 + 5x + 4s equivalent to One-fourth x? StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction x StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction StartFraction 1 over 8 EndFraction + StartFraction 1 over 8 EndFraction One-half x + one-half x
Answers
Answer:
A
Step-by-step explanation:
Need help with this one :) it’s math
Answers
Answer: Point B
Step-by-step explanation:
B is above the x axis which makes it positive, but it is to the left of the y axis which makes it negative
Answer:
B
Step-by-step explanation:
x horizontal y vertical
2+2+2+2+2+2+2+2+2
I know the answer just want to be nice and give someone brainlest cAuse never did before
Answers
Answer:
18
Step-by-step explanation:
Thanks! Have a great day!
Andre divides some stickers evenly among 5 people. Each person receives 8 stickers with none left over. Which equation can be used to determine the
number of stickers, s, Andre had?
Answers
Answer:
multiplication
Step-by-step explanation:
5x8=40
Answer:
If you mean which equation with variables can be used it is s/5 = 8
Step-by-step explanation:
8. A soccer player has a penalty kick to scoring ratio of 5:2. How many penalty kicks does he get if he
scores 18 times?
Answers
Answer:
30
Step-by-step explanation:
18÷2=6 so you would have to multiply the 5 by 6 to get an even ratio