Answer:
7.5
Step-by-step explanation:
W -- X -- Y ----- Z
We are given that :
Y is the midpoint of WZ meaning that WY = YZX is the midpoint of WY meaning that WX = XY WY = 5Given this we want to find XZ
XZ consists of XY and YZ so we must find the length of the individual segments.
Finding YZ
Here, we know that YZ = WY as y is the midpoint of WZ. If WY = 5 then YZ also = 5
Finding XY
Given that WY = 5 and that X is a midpoint of WY we know that the segments WX and XY = WY and are congruent.
In other words we can say that 2XY = WY
==> WY = 5
2XY = 5
==> divide both sides by 2
XY = 2.5
Finding XZ
Again, XY + YZ = XZ
We have XY = 2.5 and YZ = 5
Hence, 2.5 + 5 = XZ
XZ = 7.5
Answer:
XZ = 7.5
Step-by-step explanation:
A drawing is sometimes very helpful.
Start by drawing a segment with endpoints W and Z.
+--------------------------------------------+
W Z
Y is the midpoint of WZ. Draw point Y in between W and Z and the same distance from both W and Z.
+---------------------+--------------------+
W Y Z
X is the midpoint of WY. Draw X between W and Y, and the same distance to W and Y.
+----------+----------+--------------------+
W X Y Z
Because of the midpoints, we know that:
WX = XY
WY = YZ
WY = 5
WX and XY are each half of WY, so WX = XY = 5/2 = 2.5
WY = YZ = 5
XZ = XY + YZ
XZ = 2.5 + 5
XZ = 7.5
A box of cereal can be purchased in the large size, which is 15 ounces for $3.34, or the family size, which is 24 ounces for $5.14. which size box of cereal has the lowest price per ounce, and what is the amount?
The family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.
To compare the box of cereal price we need to know the price per ounce first. It can be written as
Price per ounce = price / total ounces
From the text above, we know that :
large size price = $3.34
large size ounces = 15
family size price = $5.14
family size ounces = 24
By substituting the parameter we can get the price per ounce of large size and family size
Large size
Price per ounce = price / total ounces
Price per ounce = 3.34 / 15
Price per ounce = $0.22 / ounce
Family size
Price per ounce = price / total ounces
Price per ounce = 5.14 / 24
Price per ounce = $0.21 / ounce
Hence, the family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.
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what is the median of the scores in this stem-and-leaf plot? 75 75 76 76 77 77 78
Answer:
The median of the scores in this stem-and-leaf plot is 78
Step-by-step explanation:
The total data set represented by Stem and leaf in order from the least to the greatest are as following:
58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95
The number of data is 21
The median of the data at the place number 11
So, median = 78
Help with this please.
Answer:
TrueTrueStep-by-step explanation:
This question asks you to compare the coordinates of the vertex of each function.
__
The vertex of the function is its minimum, the point where the graph stops decreasing and starts increasing. It is the lowest point on the graph.
f(x)The vertex is (-4, -1). The minimum is -1, located at x = -4.
g(x)The vertex is (1, -25). The minimum is -25, located at x = 1. We know this is the minimum because there are no g(x) values that are lower (more negative).
comparisonThe minimum of f(x), -1, is greater than the minimum of g(x), -25. TRUE
The x-value of f(x) at its minimum, -4, is less than the x-value of g(x) at its minimum, 1. TRUE
A linear quadratic system that touches at the point (-1,3) is said to have how many solutions
Answer:
1
Step-by-step explanation:
hope this helps you out
Complete the statements describing the process of converting z = 2 + 3i to polar coordinates using technology.
Write the complex number as a point in the complex plane,
(2, 3pi)
(2, 3)
(3i, 2)
(-3, 2)
Substitute _ for a and _ for b.
Options for the first _:
2
2pi
3
3i
Options for the second _:
2
2i
3
3i
Using radians for θ, record the result ___ as your answer in polar coordinate form.
(3.606cos(.983), 3.606sin(.983))
(3.606, 0.983)
3.606
0.983
Answer:
The correct statements describing the process of converting z = 2 + 3i to polar coordinates using technology are:
Write the complex number as a point in the complex plane: (2, 3i)
Substitute a = 2 and b = 3 for the real and imaginary parts respectively.
Using radians for θ, record the result as r = 3.606 and θ = 0.983 as your answer in polar coordinate form: (3.606, 0.983).
To convert a complex number in the form of z = a + bi to polar coordinates using technology, we can use the following steps:
Write the complex number as a point in the complex plane, with the real part as the x-coordinate and the imaginary part as the y-coordinate.
Substitute a for the real part and b for the imaginary part.
Using the Pythagorean theorem, we can find the distance from the origin to the point, which is the magnitude or modulus of the complex number, represented by r.
Using the tangent function, we can find the angle of the point from the positive x-axis, which is the argument or phase of the complex number, represented by θ.
Record the result in polar coordinates as (r, θ), where r is the magnitude and θ is the argument, given in radians.
It's also worth noting that polar coordinates can also be represented in the form of (r, θ ) or (r, arg(z)) or (r, angle(z))
Answer:
z = 2 + 3i
Step-by-step explanation:
REAL ANSWERS ONLY!!! 20 POINTS
Answer:
113°Step-by-step explanation:
Angle formed by two chords = 1/2(sum of intercepted arcs)
m∠NSR = 1/2(176° + 50°) m∠NSR = 113°Find the missing arc:
A r c B C =
The measure of the arc BC using the congruency of central angle and intercepted arc is 85°.
Given a circle.
Also given that,
Measure of arc AE = 70°
Also, m ∠BDC = 85°
Now, ∠BDC is the central angle corresponding to the intercepted arc BC.
central angle and intercepted arc are congruent.
So, m arc BC = 85°
Hence the required measure is 85°.
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The graph of a function is shown below. What is its range?
O (1, 2, 4)
O (1, 2, 3, 5)
O All real numbers.
O (1, 2, 3, 4)
(1,2,4)
Step-by-step explanation:Range describes the y-values of a graph.
Range
Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.
Finding Range
In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).
If x+4/4 = y+7/7 then x/4 =___.
(Number 9 is the one I need an answer for)
Answer:
4th answer is correct
Step-by-step explanation:
First, let us make x the subject.
\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)
Use cross multiplication.
\(\sf 7(x+4)=4(y+7)\)
Solve the brackets.
\(\sf 7x+28=4y+28\)
Subtract 28 from both sides.
\(\sf 7x=4y+28-28\\\\\sf7x=4y\)
Divide both sides by 7.
\(\sf x=\frac{4y}{7}\)
Now let us find the value of x/4.
To find that, replace x with (4y/7).
Let us find it now.
\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)
What are the outliers of the data set?
13, 24, 25, 25, 25, 26, 27, 27, 27, 28, 36
Select EACH correct answer.
And explanation would be appreciated :)
Answer:
Your answer is 4 men
Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.
I NEED 5 MORE BRAINLIST ANSWER. HELP ME
Step-by-step explanation:
Total number of men=24
Number of men wearing red shirt= 1/2×24=12 men
Number of men wearing green shirt= 1/3×24=8 men
So total number of men wearing a shirt other than blue= 12+8=20 men
Number of men wearing blue shirt=24-20=4 men.
Hence the answer is 4 men.
Hope this helps you :)
a postal worker counts the number of complaint letters received by the united states postal service in a given day. identify the type of data collected.
When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.
How to explain the dataQuantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.
Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.
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The Cartesian coordinates of a point are given. (a) (−2, 2) (i) Find polar coordinates (r, theta) of the point, where r > 0 and 0 ≤ theta < 2????. (r, theta) = (ii) Find polar coordinates (r, theta) of the point, where r < 0 and 0 ≤ theta < 2????. (r, theta) = (b) (3, 3 3 ) (i) Find polar coordinates (r, theta) of the point, where r > 0 and 0 ≤ theta < 2????. (r, theta) = (ii) Find polar coordinates (r, theta) of the point, where r < 0 and 0 ≤ theta < 2????. (r, theta) =
a. i. The polar coordinates (r, theta) of the point (−2, 2), where r > 0 and 0 ≤ theta < 2 is (√8, -π/4).
ii. The polar coordinates (r, theta) of the point (−2, 2), where r < 0 and 0 ≤ theta < 2 is (√8, 7π/4).
b. i. The polar coordinates (r, theta) of the point (3, 3 3 ), where r > 0 and 0 ≤ theta < 2 is (3√2, π/6).
ii. The polar coordinates (r, theta) of the point (3, 3 3 ), where r < 0 and 0 ≤ theta < 2 is (-3√2, 7π/6).
(a)
(i) Using the formula r = √(x² + y²) and theta = arctan(y/x), we get:
r = √((-2)² + 2²) = √8
theta = arctan(2/(-2)) = arctan(-1) = -π/4 (since the point is in the second quadrant)
So, the polar coordinates are (r, theta) = (√8, -π/4)
(ii) For r < 0, we can add π to the value of theta obtained in part (i), so:
(r, theta) = (√8, 7π/4)
(b)
(i) Using the same formula, we get:
r = √(3² + 3²) = 3√2
theta = arctan(3/3√3) = arctan(1/√3) = π/6 (since the point is in the first quadrant)
So, the polar coordinates are (r, theta) = (3√2, π/6)
(ii) For r < 0, we can add π to the value of theta obtained in part (i), so:
(r, theta) = (-3√2, 7π/6)
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Paul had a job during his summer vacation. He earned $8.75 per hour. He worked 20 hours per week for 8 weeks. How much money did Paul earn?
i know that he earns $1,400 but i dont know how to show my work
Answer:
1 hour 8.75
1 week 20 x 8.75 = $175
8 weeks 175 x 8 = $1,400
he earned 1,400 dollars in 8 weeks
Answer:
9800 is final answer.
Step-by-step explanation:
Lets find out how much he made each day!
20 x 8.75= 175
Now there are 7 days a week so...
175 x 7 = 1225
He works for 8 weeks:
1225 x 8 = 9800
Which of the following best describes how the y values are changing over each interval?
x y
1 2
2 4
3 8
4 16
5 32
They are increasing by 2 each time.
They are increasing by 4 each time.
They are being multiplied by 2 each time.
They are being multiplied by 4 each time.
Answer: They are being multiplied by 2 each time
Step-by-step explanation:
2x2=4 4x2=8 8x2=16 16x2=32
Answer:
They are being multiplied by 2 each time
Step-by-step explanation: hope it helps ^w^
Plzs help me I give u brain list
Answer: am sorry but,
Step-by-step explanation: I can't see the picture...
Answer:
b (i think)
Step-by-step explanation:
what is the slope of the graph of y=12x -19
Answer:
12 is the slope of the graph!
Step-by-step explanation:
y=mx+b
m represents the slope
So, 12 is your slope in the graph
b represents the y-intercept
So, -19 is your y-intercept in the graph
Therefore, your answer to your question the slope is 12.
Hope this helps!
a random sample of size 36 is taken from a population with mean equal to 64 and the standard deviation equal to 4. calculate the standard error of the mean.
Answer:
Step-by-step explanation:
The random sample of size =36
Taken from a population with mean= 64
Standard deviation=4
Standard error of the mean = 4/6=0.66
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The standard error of the mean is calculated to be 0.66
The formula for the standard error of the mean is expressed as:
SE = σ/√n
SE = standard error of the sample
σ = sample standard deviation
n = sample size
Note that σ is the Greek letter sigma and √ is the square root symbol.
Given that,
The size of the random sample is 36.
based on a population whose mean was 64.
Standard deviation is 4
Standard error equals 4/\(\sqrt{36}\)=4/6 = 0.66
According to calculations, the standard error of the mean is 0.66.
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HELPPP PLEASEE ?????
B is the midpoint of AC. AB = 2x+12 and BC = 5x + 10. Find AC
Answer:
x=6
Step-by-step explanation:
/AB/=2x+12
/BC/=5x+10
3x+2=5x-10 subtract 2 from both sides
3x=5x-12 subtract 5x from both sides
-2x=-12 divide both sides by -2x
x =6
will mark brainiest pls just lmk
Answer:
If asking for the distance, the answer would be C.
16-(2+6)•-8 solve with the order of operations
Answer:
By solving the equation with the order of operations, the correct answer is: 80
pleawe help kqkakakakakakaka
Answer:
-16
Step-by-step explanation:
ez if not u baka
Answer:
use the raditon theroem, 24x^2025x/ax-2 mulitplied by tan is equal to A)-16
What is the slope from (−4, 6) to (2, 2/3)
The slope from of (−4, 6) to (2, 2/3) can be written as -17/18
How can the slope be written?The slope of line can be represented as =slope whereby (x1, y1) = serves as the coordinates of first point in the line (x2, y2)serve as as the coordinates of second point in the line
From the question, x1 = -4, y1 = 6 , x2 = 2, y2 =2/3 then we can set up into the formula as
(y2 - y1) / (x2 - x1)
(y2 - y1) =(2/3 - 6) =-17/3
(x2 - x1) = (2 - (-4))= 6
Hence slope = -17/18
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Please help again I suck at geometry
Answer:
Option (6)
Step-by-step explanation:
By applying sine rule the given triangle XYZ,
sin(X) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
Measure of opposite side (XY) = 12
Measure of Hypotenuse (XZ) = 37
By substituting these values in the given expression,
sin(X) = \(\frac{12}{37}\)
Therefore, Option (6) will be the correct option
Use the figure for Exercises 1-4. Identify all pairs of each type of angle.
1. corresponding angles
2. Same side, interior angles.
3. Alternate interior angles.
4. Alternate exterior angles.
Use the figure for Exercises 5 and 6.
5. Which angles are supplementary to the given angle?
6. Which angles are congruent to the given angle?
7. Use the diagrams to fill in the blanks. Determine whether the pair of angles congruent or supplementary and find the measure of the angle.
8. A student said that m<1 = 80°. What error did the student likely make? What is m<1
9. In the figure, EH II A/ and AI II CJ.
a. What is the m
b. What is the m<3? Explain.
As shown in the figure,
1. corresponding figures: <1 and <5, <2 and <6, <4 and <8, <3 and <72. Same-side interior angles: <2 and <5, <3 and <83. Alternate interior angles: <2 and <8, <5 and <34. Alternate exterior angles: <1 and <7, <4 and <8These are all based on the properties of the angle.
What is Geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
The error which the student made by saying m<1 = 80° is he did not state that they are congruent angles and hence. m<1 is actually 100°
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Find the next two terms of each sequence.
1.) -16, 8, -4, 2, ...
2.) 1, 4, 9, 16, 25, ...
Answer:
1)=-1;1
2)=36;49
Step-by-step explanation:
1.)aqui la secuncia es dividir en -2
2.)aqui la secuencia es sumar numeros impares es decir:+3;+5;+7 etc
Find the slope of the line through the points (4, 1) and (6, 3)
I need help ASAP
Answer:
The slope is 1
Step-by-step explanation:
Slope can be found using the expression \(\frac{y2-y1}{x2-x1}\)
In this case,
y2 = 3
y1 = 1
x2 = 6
x1 = 4
\(\frac{3-1}{6-4}\) = 2/2 = 1
antti entered a 10 kilometer race. his goal is to finish in one hour. he starts off sprinting, and completes the first 2 kilometers of the race at an average speed of 12 kilometers per hour. to achieve his goal of a one-hour finish time, what average speed must antti maintain for the last 8 kilometers of the race?
So, Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.
To finish the 10 kilometer race in one hour, Antti must maintain an average speed of 10 kilometers per hour for the entire race. Since he has already completed 2 kilometers at an average speed of 12 kilometers per hour, he must make up for that extra speed by running the last 8 kilometers at a slower pace.
To find out what average speed he must maintain for the last 8 kilometers to finish in one hour, we can use the formula:
(distance) / (time) = (speed)
So, 8 / 1 = 8 kilometers per hour
Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.
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Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. if two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I need help understanding the law of detachment
The Law of Detachment states:
If a ⇒ b is true and a is true, then b is true
if two figures are congruent, their areas are equal.
a = two figures are congruent
b = their areas are equal
We are given b
The area of ABCD equals the area of PQRS.
We cannot use the law of detachment in this case because we need to be given a for the law of detachment to apply.
ABCD could be a rectangle with area 10
PQRS could be a rhombus with area 10
They are not congruent