Kite WXYZ is graphed on a coordinate plane.
What is the area of the kite?
a.7 square units
b.8 square units
c.14 square units
d.16 square units
Answers
Answer-
Area of the kite is 14.0 sq.units
Solution-
[tex]\text{Area}_{WXYZ}=\text{Area}_{WXY}+\text{Area}_{WZY}[/tex]
From the graph, in the triangle WXY
Base = WY=4 units,
Height = 3 units
[tex]\text{Area}_{WXY}=\dfrac{1}{2} \cdot base\cdot height=\dfrac{1}{2} \cdot 4\cdot 3=6\ sq.unit[/tex]
From the graph, in the triangle WZY
Base = WY=4 units,
Height = 4 units
[tex]\text{Area}_{WZY}=\dfrac{1}{2} \cdot base\cdot height=\dfrac{1}{2} \cdot 4\cdot 4=8\ sq.unit[/tex]
[tex]\therefore \text{Area}_{WXYZ}=6+8=14\ sq.units[/tex]
Related Questions
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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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.
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(8y=16-2x)/8 Divide the whole equation by 8 to isolate the y value.
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y=2-1/4x
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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.
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The 2 is the y-intercept. (0, 2)
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
After a discount Joan paid $700 for a new laptop and an additional 5% tax on the marked price.
What is the marked price of the laptop if Joan paid a total of $737?
Question 5 options:
$700
$777
$740
$40
Answers
The correct marked price of the laptop is $740.
To find the marked price of the laptop, we need to consider the total amount Joan paid, which includes the discounted price and the additional tax. Joan paid a total of $737, which is after a discount and including a 5% tax on the marked price.
Let's denote the marked price of the laptop as M. Joan paid $700 after the discount, which means the discounted price is $700. The tax paid on the marked price is 5% of M, which can be written as 0.05M .
The relationship between the marked price, the discount, and the tax can be expressed as:
[tex]\[ M - \text{Discount} + 0.05M = \text{Total paid} \] \[ M - (M - 700) + 0.05M = 737 \] \[ M - M + 700 + 0.05M = 737 \] \[ 0.05M = 737 - 700 \] \[ 0.05M = 37 \][/tex]
Now, we solve for \( M \) to find the marked price:
[tex]\[ M = \frac{37}{0.05} \] \[ M = 740 \][/tex]
Therefore, the marked price of the laptop is $740.
The other options can be eliminated as follows:
- $700 is the price Joan paid after the discount, not the marked price.
- $777 is not correct because it does not account for the 5% tax on the marked price.
- $40 is incorrect as it is much less than the amount Joan paid after the discount.
Hence, the correct answer is $740 for the marked price of the laptop.
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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Write 46/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
Answers
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
Dario bought a new bike for $90.00. Sales tax is 5 1/2% How much tax does he have to pay? How much is his total bill?
Answers
The total bill would be $94.95
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
The following is an incomplete flowchart proving that the opposite angles of parallelogram JKLM are congruent:
Parallelogram JKLM is shown where segment JM is parallel to segment KL and segment JK is parallel to segment ML. Extend segment JM beyond point M and draw point P, by Construction. An arrow is drawn from this statement to angle MLK is congruent to angle PML, Alternate Interior Angles Theorem. An arrow is drawn from this statement to angle PML is congruent to angle KJM, numbered blank 1. An arrow is drawn from this statement to angle MLK is congruent to angle KJM, Transitive Property of Equality. Extend segment JK beyond point J and draw point Q. An arrow is drawn from this statement to angle JML is congruent to angle QJM, Alternate Interior Angles Theorem. An arrow is drawn from this statement to angle QJM is congruent to angle LKJ, numbered blank 2. An arrow is drawn from this statement to angle JML is congruent to angle LKJ, Transitive Property of Equality. Two arrows are drawn from this previous statement and the statement angle MLK is congruent to angle KJM, Transitive Property of Equality to opposite angles of parallelogram JKLM are congruent.
Which reasons can be used to fill in the numbered blank spaces?
1Alternate Interior Angles Theorem
2Alternate Interior Angles Theorem
1Corresponding Angles Theorem
2Corresponding Angles Theorem
1Same-Side Interior Angles Theorem
2Alternate Interior Angles Theorem
1Same-Side Interior Angles Theorem
2Corresponding Angles Theorem
Answers
Answer:
(B) corresponding angles theorem
Step-by-step explanation:
Given: A parallelogram JKLM is shown where segment JM is parallel to segment KL and segment JK is parallel to segment ML.
To prove: Opposite angles of parallelogram are equal.
Construction: Extend segment JM beyond point M and draw point P, Extend segment JK beyond point J and draw point Q.
Proof:
It is given that A parallelogram JKLM is shown where segment JM is parallel to segment KL and segment JK is parallel to segment ML.
Extend segment JM beyond point M and draw point P--------By construction
and Extend segment JK beyond point J and draw point Q----By construction
thus, ∠MLK≅∠PML and ∠JML≅∠QJM (Alternate interior angles theorem) (1)
Then, ∠PML≅∠KJM and ∠QJM≅∠LKJ (corresponding angles theorem) (2)
Using equation (1) and (2) and using the transitive property of equality, we have
∠MLK≅∠KJM and ∠JML≅∠LKJ
therefore, opposite angles of the given parallelogram JKLM are congruent.
Hence proved.
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%.
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.
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
BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTT
Answers
School A: 6, 6, 7, 9, 14, 15, 15, 17, 17
School B: 5, 8, 8, 11, 12, 13, 15, 16, 19
Five-number summary School A:
1. sample minimum - 6 (the smallest number from the sample)
2. lower quartile - 6.5 (the number in the middle of the minimum and the median)
3. median - 14 (the middle number)
4. upper quartile - 16 (the number in the middle of the median and the maximum)
5. sample maximum - 17 (the biggest number from the sample)
IQR School A = Q3 − Q1 = 16 - 6.5 = 9.5 (The interquartile range is calculated by subtracting the lower quartile from the upper quartile.)
Five-number summary School B:
1. sample minimum - 5 (the smallest number from the sample)
2. lower quartile - 8 (the number in the middle of the minimum and the median)
3. median - 12 (the middle number)
4. upper quartile - 15.5 (the number in the middle of the median and the maximum)
5. sample maximum - 19 (the biggest number from the sample)
IQR School B = Q3 − Q1 = 15.5 - 8 = 7.5 (The interquartile range is calculated by subtracting the lower quartile from the upper quartile.)
Part B:
You can draw the box plots and see if they are symmetric. Below I'll represent it so you can have an idea.
School A - not symmetric
_________________________
|--|___________________|______|-----|
6 7 8 9 10 11 12 13 14 15 16 17
School B - not symmetric (but close)
_____________________
|-------------|__________|__________|-------------------|
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
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%
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
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
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
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:
BIn △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.
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]
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.
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:
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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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
Rewrite the following alebraic expression using the distributive property.
-2a(a+b-5) + b(6a+b-8)
Answers
Find the greatest common factor of 8a^3b^2 and 12ab^4.
Answers
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
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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) 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.