W XYZ is a kite. Angle W XY has a measure of 133 degreesand angle ZW X has a measure of 60 degrees. Find themeasure of angle ZYW.
Answers
Consider the triangle WZY and WXY,
\(\begin{gathered} WZ=WX\text{ (given)} \\ ZY=XY\text{ (given)} \\ WY=WY\text{ (common)} \end{gathered}\)So the triangles WZY and WXY will be condruent by the SSS criteria.
Then the corresponding parts must be equal,
\(\angle ZWY=\angle XWY\)Given that the angle ZWX measures 60 degrees,
\(undefined\)Related Questions
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Answers
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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Carlos needs an average of 90% or greater on his quiz scores to earn an A in science class for the quarter. Each quiz is worth 20 points. The scores of his first four quizzes are shown in the table. There is one more quiz this quarter. Quiz Score 1 2 3 4 18 at least 19 17 20 What is the mininum score Carlos can earn on the final quiz to earn at least a 90% average? points
Answers
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
We have,
Let's start by finding the total number of points that Carlos can earn in the class:
Total points
= 5 quizzes x 20 points per quiz
= 100 points
If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.
Total points earned.
= 18 + 19 + 17 + 20
= 74 points
To find the minimum score Carlos needs on the final quiz, we can set up an inequality:
(74 + x) / 5 ≥ 0.9
where x is the score on the final quiz.
Simplifying this inequality.
74 + x ≥ 90
x ≥ 16
Therefore,
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
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236 megabytes and 12.6% is downloaded how many megabytes have been downloaded
Answers
236 x 0.126
29.736 MB have been downloaded
Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 3 and 5, vertex B is on ordered pair 4 and 1, and the vertex C is on ordered pair 2 and 1. (1 point) a It is twice the area of a square of side length 2 units. b It is one-half the area of a square of side length 2 units. c It is twice the area of a rectangle of length 2 units and width 4 units. d It is one-half the area of a rectangle of length 2 units and width 4 units.
Answers
A statement which best describes the area of Triangle ABC shown above include the following: D. It is one-half the area of a rectangle of length 2 units and width 4 units.
How to calculate the area of a triangle?Mathematically, the area of a triangle can be calculated by using this mathematical expression:
Area of a triangle = 1/2 × b × h
Where:
b represents the base area of a triangle.h represents the height of a triangle.How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
Area of a rectangle = LW or bh
Where:
W represents the width of a rectangle.L represents the length of a rectangle.In this context, we can reasonably infer and logically deduce that the area of a triangle ABC is half the of a rectangle i.e A = (bh)/2.
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One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN = 1/2 PR.
The coordinates of Q are:
The coordinates of R are:
The slope of MN is:
The slope of PR is:
The line segments are (select)
MN =
PR =
Answers
Answer:
See the proof below
Step-by-step explanation:
Given the following coordinates
P(2, −1)
Midpoint of PQ M(3, 0)
We can get the coordinate point Q using the midpoint formula;
M(X,Y) = (x1+x2/2, y1+y2/2)
X = x1+x2/2
3 = 2+x2/2
6 = 2+x2
x2 = 6-2
x2 = 4
Y = y1+y2/2
0 = -1+y2/2
0 = -1 + y2
y2 = 0+1
y2 = 1
Hence the coordinate of Q is (4, 1)
Next is to get the coordinate of R
Given the midpoint of QR to be N(5, 3)
(5,3) = (4+x2/2, 1+y2/2)
5 = 4+x2/2
10 = 4+x2
x2 = 10-4
x2 = 6
1+y2/2 = 3
1+y2 = 6
y2 = 6-1
y2 = 5
Hence the coordinate of R is (6,5)
Given the coordinates M(3, 0) and N(5, 3)
Slope is expressed as:
m = y2-y1/x2-x1
m = 3-0/5-3
m = 3/2
Slope of MN = 3/2
Get the slope of PR
Given the coordinates P(2, −1) and R (6,5)
Slope of PR = 5-(-1)/6-2
Slope of PR = 5+1/4
Slope of PR = 6/4 = 3/2
Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR
To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:
For MN with coordinates M(3, 0) and N(5, 3)
MN = √(x2-x1)²+(y2-y1)²
MN = √(5-3)²+(3-0)²
MN = √2²+3²
MN = √13
Get the length of PR where P(2, −1) and R (6,5)
PR = √(6-2)²+(5+1)²
PR = √4²+6²
PR = √16+36
PR = √52
PR = √4*13
PR = √4*√13
PR = 2√13
Since MN = √13
PR = 2MN
Divide both sides by 2
PR/2 = 2MN/2
PR/2 = MN
Hence MN = 1/2 PR (Proved!)
Dimensions of a cow farm are 650 feet by 255 feet. If 1 inch represents 40 feet, what re the dimensions of the building on the drawing?
Answers
Answer:
the dimensions in the drawing are 16.25 inches by 6.375 inches
Step-by-step explanation:
The first thing is to use the same unit on the scale, that is, they tell us that the scale is 1:40 but that scale cannot be applied because they are different units of measurement.
The answer is preferable to give it in inches because it is more adapted to the measurements in a drawing, therefore we will pass the scale all in inches, knowing that 1 foot is 12 inches:
40 feet * 12 inches / 1 foot = 480 inches, therefore the scale is 1: 480
Now, if we pass the dimensions that give us inches, we are left with:
650 feet * 12 inches / 1 foot = 7800 inches
255 feet * 12 inches / 1 foot = 3060 inches
Now applying the scale:
7800/480 = 16.25
3060/480 = 6.375
It means that the dimensions in the drawing are 16.25 inches by 6.375 inches
When a 0.42 tax was added to the price of a ticket, the total bill come to $7.03. Describe the above situation as a linear equation.
Answers
Answer:
P = 7.03 - 0.42T
Step-by-step explanation:
Let the price of a ticket be P.
Let the ticket be T.
A linear equation can be defined as an algebraic equation that's typically written for two (2) independent variables, in which each of them has an exponent of one (1) and they make a straight line when plotted on a graph.
Given the following data;
Tax = 0.42
Total bill = $7.03
Translating the word problem into an algebraic expression, we have;
0.42T + P = 7.03
P = 7.03 - 0.42T
Round 35007 to nearest hundred
Answers
Answer:
35000
Step-by-step explanation:
35,007 to the nearest hundred would be 35000 because 7 is between both 0 hundred (000) and 1 hundred (100). However, because 7 is only 7 away from 000 and 93 away from 100, 000 is the nearest hundred.
Hope this helps :)
hundred = 0
so, 35000
How much money should be deposited today in an account that earns 4.5% compounded monthly so that it will
accumulate to $14,000 in 3 years?
i Click the icon to view some finance formulas.
The amount of money that should be deposited is $8000
(Round up to the nearest cent as needed.)
Answers
Answer:
To solve this, we can use the following formula:
FV = PV * (1 + r/n)^nt
Where:
FV = Future Value
PV = Present Value
r = Interest Rate
n = Number of times interest is compounded per year
t = Number of years
In this case, we have the following information:
FV = $14,000
r = 4.5%
n = 12 (monthly compounding)
t = 3 years
We can solve for PV as follows:
PV = FV / (1 + r/n)^nt
PV = $14,000 / (1 + 0.045/12)^12*3
PV = $8,000.00
Therefore, the amount of money that should be deposited today in an account that earns 4.5% compounded monthly so that it will accumulate to $14,000 in 3 years is $8,000.00.
Step-by-step explanation:
Which of the following rational numbers is equal to that? please help quickly
Answers
Answer:
31/9. you have to count by nines, get three whole numbers which are not fractions, and you are left with 4. and a whole 3 plus 0.4 = 3.4 hope that helps homie
Ami needs to divide these base-ten blocks into 5 equal groups.
Describe a model that would show how many are in each group.
The model will contain
ten and
ones in each group.
Answers
Step-by-step explanation:
The model will contain 1 ten and 4 ones in each group.
The length of a side of an equilateral triangle is 10 cm. Find the height of the triangle
Answers
Answer:
h = 5√3
Step-by-step explanation:
h = (√3/2)a
h = 10
h = (√3/2)10
h = 5√3
Example. Kennedy plans to completely cover the wall behind her kitchen sink with square tiles. The wall is a rectangle that is 15 in. high and 24in. long. Each square tile will have whole-number side lengths. What is the side length of the largest square tile that Kennedy can use?
The side length of the tile must divide both 15 in. and 24 in.
List the factors of 15: 1, 3, 5, 15
List the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The only whole numbers that divide into both 15 and 24 are 1 and 3. The greatest common factor of 15 and 24 is 3. The side length of the largest tile Kennedy can use is 3 in.
1. Suppose the wall in the Example is 16 in. high and 28 in. long. a. What is the side length of the largest square tile that Kennedy can use? Show your work
Answers
9514 1404 393
Answer:
4 in
Step-by-step explanation:
Factors of the numbers are ...
16 = 2^4
28 = 2^2·7
The greatest common factor is 2^2 = 4.
The largest square tile Kennedy could use on a 16 in × 28 in space is 4 in square.
Answer:
Step-by-step explanation:
o
Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
O A. About 60% of the books have fewer than 150 pages.
OB. About 16% of the books have fewer than 150 pages.
Answers
About 16% of the books have fewer than 150 pages
Given data ,
The numbers of pages in the books in a library follow a normal distribution
The mean number of pages is 180 and the standard deviation is 30 pages
Now , about 68% of the books will have a number of pages within one standard deviation of the mean, or between 150 and 210 pages
And , using a standard normal distribution table or a calculator that has a normal distribution function.
Using a standard normal distribution table, we find that the area to the left of -1 (which corresponds to a z-score of -1) is about 0.16
Hence , 16% of the books have fewer than 150 pages
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When are the lower and upper quartiles calculated by finding the average of two values? Explain.
Answers
The requried lower and upper quartiles are calculated by finding the average of two values when the data set has an even number of observations.
The lower and upper quartiles are calculated by finding the average of two values when the data set has an even number of observations. In such cases, the median (which separates the lower 50% and upper 50% of the data) falls between two values, and to find the quartiles, we need to divide the data into four equal parts.
The lower quartile (Q1) is the median of the lower half of the data set, which includes the median itself. Similarly, the upper quartile (Q3) is the median of the upper half of the data set, which includes the median as well. Since the median separates the data set into two equal parts, we can take the average of the two values on either side of the median to obtain the quartiles.
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i need help to this question pls
Answers
Answer:
48 , 88 , 44
Step-by-step explanation:
48° + x° + ( x - 44 )° = 180°
2x = 176
x = 88°
m∠A = 48 °
m∠B = 88 °
m∠C = 44 °
What was the answer to puzzle #4
Answers
Ellis is going on a tour that costs $68 while on vacation. He brought less than $96 to pay for the cost of the tour and dinner. Which of the following inequalities represents the money Ellis can spend on dinner?
A.
$96 + d > $68
B.
$68 + d < $96
C.
$96 + d < $68
D.
$68 + d > $96
Answers
Answer:
B.$68 + d < $96
Step-by-step explanation:
Ellis is going on a tour that costs $68 while on vacation. He brought less than $96 to pay for the cost of the tour and dinner.
$68 + d less than $96
$68 + d < $96
Note:
< = Less Than
> = Greater Than
≤ = Less Than or Equal to
≥ Greater Than or Equal to
A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.
Answers
The coordinates to which the portable irrigation system should be sent to water the area are:
(495.75, 672).
Where to send the portable irrigation system?The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.
Hence the coordinates are given as follows:
x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.Hence the x-coordinate of the point to which the system should be sent is:
x = (56 + 144 + 888 + 895)/4 = 495.75.
(the mean is given by the sum of the observations divided by the number of observations).
The y-coordinate of the point to which the system should be sent is:
y = (289 + 332 + 1012 + 1055)/4 = 672.
Missing InformationThe area is given by the image at the end of the answer.
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Practice 3
Solving a Special Solution inequality
17<3h+2<2
h>______
h <______
Answers
Answer:
h > 5
h < 0
Step-by-step explanation:
We suppose that a "Special Solution" inequality is one that is technically incorrect, but is written using a compact "shorthand" form.
As written, the inequality claims that 17 < 2, which is false. There can be no value of the variable that will make this true. We presume the intended meaning is ...
17 < 3h +2 or 3h +2 < 2
Special solutionSubtracting 2 from the inequality gives ...
15 < 3h < 0
Dividing by 3 gives ...
5 < h < 0
There is no value of h that is both greater than 5 and less than 0, so we presume this means the OR (union) of the solution sets ...
h > 5
h < 0
The simple interest due on a 60-day loan of $7100 is $87.57. Find the maturity value of the loan.
Answers
The maturity value is the total amount that must be repayed after the given time. Thus,
maturity value = interest + principal
From the information given,
Principal = 7100
Interest = 85.57
Thus,
maturity value = 7100 + 87.57
maturity value = $7187.57
Randomthing2143 help me please! Range of: 1, 2, 3, 1, 5, 2, 1, 8, 9, 7?
Answers
Answer:
8solution,
Highest score=9
lowest score=1
now,
range= highest score-lowest score
=9-1
=8
Hope this helps...
Answer:
8
Step-by-step explanation:
The range of the sequence is the largest number - the smallest number.
The largest number is 9.
The smallest number is 1.
9 - 1
= 8
The range of the sequence is 8.
pls help asap!!!!!!!!
Answers
Answer:
It is possible, because the two shortest sides have to add up to be more than the longest side, and 8 + 12 = 20, which is more than the longest side of 17.
So yes, I agree with Bear.
Which property was used to simplify the expression?
O distributive property
O commutative property
O associative property
O inverse property
4(b+2)=4b+8
Answers
The expression is
4(b+2)=4b+8See
4(b)+4(2)4b+8Its distributive property which states that
a(b+c)=ab+acOption A
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answers
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
Find the slope of the line that passes through (9, 6) and (6, 2).
Answers
Answer:
4/3 not sure
i hope its hepls
Answer:
y2 - y1/ x2 - x1
6 - 6/2 - 6 = 0/-4 = 0
Step-by-step explanation:
1. The figure shown is composed of a right triangle and a parallelogram.
25 points
4 m
0.5 m
3.2 m
What is the area of the figure in square
meters? (7.1B, 710, 7.1E, 7.1F)
12.8 m
6.4 m2
O 7.7 m2
13.6 m
Answers
Answer:
13.6 m²
Step-by-step explanation:
The area of the triangle is equal to
\( \frac{3.2 \times 0.5}{2} = 0.8 \: {m}^{2} \)
Therefore, the area of the figure is equal to
\( (4 \times 3.2) + 0.8 = 12.8 + 0.8 = 13.6 \: {m}^{2} \)
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answers
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
find the measurement of angle RST
Answers
Answer:
Angle RST is nowhere to be found
Step-by-step explanation:
Help us help you. Please include enough information to answer your question.
I’m certain year, there were 86 female officials in congress, which comprised of the House of Representatives and the senate. If there were 58 more female me members of the House of Representatives than female senators, find the number of females in each house of congress
Answers
Answer:
58 members of the House of Representatives, and 28 members of the senate.
Step-by-step explanation:
We can find the answer to this by simply subtracting:
86 - 58 = 28
So, there are 58 members of the House of Representatives, and 28 members of the senate.
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