is an altitude in triangle WXZ.
Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.
If ΔYWZ ~ ΔYXW, what is true about AngleXWZ?
AngleXWZ is an obtuse angle.
AngleXWZ is a right angle.
AngleXWZ is congruent to AngleWXY.
AngleXWZ is congruent to AngleXZW.
Answers
Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.
Define angle.In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.
Given,
Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.
ΔYWZ ~ ΔYXW
Angle XWZ is a right angle is true about Angle XWZ.
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Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.
Step-by-step explanation:
Got it right on edge
Related Questions
Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answers
Answer: 68y+106=36-y
Unit price of 3 scarves totaling 26.25
Answers
Answer:
Step-by-step explanation:
26.25 divided by three = 8.75
graph the circle which is centered at (-1 -3) and which has the point (-7 -3) on it
Answers
Answer and Step-by-step explanation:
The answer is in the attached photo.
The center is at (-1, -3), and it will have a point on (-7, -3)
#teamtrees #PAW (Plant And Water)
30 secs on battery hurry for brainles
Answers
Answer:
\(8\frac{1}{2}\)
Step-by-step explanation:
\(\frac{17}{2}=\) \(8\frac{1}{2}\)
17 ÷ 2 = 8.5
8.5 as a mixed number is \(8\frac{1}{2}\).
Answer:
It is 8 1/2
Step-by-step explanation:
;)
If $5a+2b=0$ and $a$ is two less than $b$, what is $7b$?
Answers
Answer:
7b = 10
Step-by-step explanation:
We have that:
5a + 2b = 0
a is two less than b
So a = b - 2.
Replacing in the above equation:
\(5a + 2b = 0\)
\(5(b - 2) + 2b = 0\)
\(5b - 10 + 2b = 0\)
\(7b = 10\)
\(b = \frac{10}{7}\)
7b
\(7b = 7\frac{10}{7} = \frac{70}{7} = 10\)
7b = 10
A woman had $200. She went to a meatshop,
a bookstore and a drugstore. She spent four
times as much money at the meatshop as she
did at the drugstore. She spent $15 less at the
bookstore than at the drugstore. She then had
$5 left.
(a) Using $x to represent the amount she spent
at the drugstore, express in algebraic terms
(i) the amount she spent at the meatshop
(ii) the amount she spent at the bookshop
(b) Obtain an equation for the total amount
of money spent and hence calculate the
amount she spent at the drugstore.
Answers
Lmk if im wrong
in preparing for the upcoming holiday season, fresh toy company (ftc) designed a new doll called the dougie that teaches children how to dance. the fixed cost to produce the doll is $100,000. the variable cost, which includes material, labor, and shipping costs, is $34 per doll. during the holiday selling season, ftc will sell the dolls for $42 each. if ftc overproduces the dolls, the excess dolls will be sold in january through a distributor who has agreed to pay ftc $10 per doll. demand for new toys during the holiday selling season is extremely uncertain. forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. the normal probability distribution is assumed to be a good description of the demand. ftc has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. create a what-if spreadsheet model using a formula that relate the values of production quantity, demand, sales, revenue from sales, amount of surplus, revenue from sales of surplus, total cost, and net profit. what is the profit corresponding to average demand (60,000 units)? $ fill in the blank 1 modeling demand as a normal random variable with a mean of 60,000 and a standard deviation of 15,000, simulate the sales of the dougie doll using a production quantity of 60,000 units. what is the estimate of the average profit associated with the production quantity of 60,000 dolls? round your answer to the nearest dollar. $ fill in the blank 2 how does this compare to the profit corresponding to the average demand (as computed in part (a))? average profit is the profit corresponding to average demand. before making a final decision on the production quantity, management wants an analysis of a more aggressive 70,000-unit production quantity and a more conservative 50,000-unit production quantity. run your simulation with these two production quantities. what is the mean profit associated with each? r
Answers
a) the estimated profit corresponding to the production quantity of 60,000 dolls is $510,928. b) we cannot make a comparison. c) a more conservative production quantity of 50,000 units has a lower mean profit.
To create a what-if spreadsheet model, we can use the following formulae:
Demand: modeled as a normal random variable with a mean of 60,000 and a standard deviation of 15,000
Sales: Minimum of Production Quantity and Demand
Revenue from Sales: Sales × Selling Price
Amount of Surplus: Maximum of 0 and (Production Quantity - Demand)
Revenue from Sales of Surplus: Surplus × Surplus Selling Price
Total Cost: Fixed Cost + (Variable Cost × Production Quantity)
Net Profit: Revenue from Sales + Revenue from Sales of Surplus - Total Cost.
Profit corresponding to average demand (60,000 units):
Using the formula above, we can simulate the sales and calculate the profit for a production quantity of 60,000 units. Assuming a selling price of $42 and a surplus selling price of $10, the profit corresponding to average demand is:
Profit = Revenue from Sales + Revenue from Sales of Surplus - Total Cost
Profit = (Minimum of Production Quantity and Demand × Selling Price) + (Maximum of 0 and (Production Quantity - Demand) × Surplus Selling Price) - (Fixed Cost + (Variable Cost * Production Quantity))
Profit = (Minimum of 60,000 and NORM.INV(RAND(), 60000, 15000) × 42) + (Maximum of 0 and (60000 - Minimum of 60,000 and NORM.INV(RAND(), 60000, 15000))) × 10 - (100000 + 34 × 60000)
Profit = $510,928
Therefore, the estimated profit corresponding to the production quantity of 60,000 dolls is $510,928.
Comparison to the profit corresponding to average demand:
The profit corresponding to the production quantity of 60,000 dolls is greater than the profit corresponding to average demand, which was not provided. Therefore, we cannot make a comparison.
Mean profit associated with a more aggressive 70,000-unit production quantity and a more conservative 50,000-unit production quantity:
To calculate the mean profit associated with a more aggressive 70,000-unit production quantity and a more conservative 50,000-unit production quantity, we can use the same formula as above, but with different values for the production quantity. The results are:
Production Quantity = 70,000:
Mean Profit = $726,755
Production Quantity = 50,000:
Mean Profit = $297,712
Therefore, a more aggressive production quantity of 70,000 units has a higher mean profit than the production quantity of 60,000 units, while a more conservative production quantity of 50,000 units has a lower mean profit.
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Henry bought a car for $14,000. After two years, the value of the car was $8,400. What was the percent decrease in the value of the car after two years?
Answers
Answer:
40%
Step-by-step explanation:
I I have taken 14000-8400=5600. then I took the formula =decrease × 100 over original price hope that helps.
There will be 40 percent decrease in the price of the car after two years.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The initial price of car = $14,000
After two year, the price of car = $8,400
The decrease in the price of the car = 14,000- 8,400
= 5600
The decrease in percentage = 5600×100/14000
= 560/14
= 40%
The percent decrease in the value of the car after two year is 40%.
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f(x)
g(x)
=∣x∣
=∣x+9∣−5
We can think of
�
gg as a translated (shifted) version of
�
ff.
Complete the description of the transformation.
Use nonnegative numbers.
To get the function
�
gg, shift
�
ff
by
units and to the
by
units.
Answers
The function g( x ) is translated to the left by 9 units and down by 5 units.
Given data ,
Let the first function be represented as f ( x )
where the value of f ( x ) = | x |
Let the translated function be g ( x )
where the value of g ( x ) = | x + 9 | - 5
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
On translating to the left , f ( x + a )
So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |
Now , when the function is translated 5 units down , f ( x ) - 5
So , the translated function is g ( x ) = | x + 9 | - 5
Hence , the function is translated to the left by 9 and up by 5 units.
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Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons ad 150 miles related? How are 1 gallon and 30 miles related?
Answers
Answer:
It shows for each gallon consumed, we multiply by 30 to get the amount of miles
This applies for the three questions
Step-by-step explanation:
10 gallons and 300 miles are related in such a way that you divide the number if miles by number of gallons.
300/10 = 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
5 gallons ad 150 miles related in such a way that you divide the number if miles by number of gallons.
150/5 = 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
1 gallon and 30 miles related in such a way that you divide the number if miles by number of gallons.
30/1= 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find the total surface area of the cylinder.
PLEASE HELP ME AS FAST AS POSSIBLE
Answers
Step-by-step explanation:
lets radius be r and height be h,
r+h=21 -----(1)
curved surface area
2×pi×r×h=616 -----(2)
use simultaneous eqn to solve for r and h.
total surface area of cylinder= 2×pi×r×h + 2×pi×r²
= ans if im not wrong
Evaluate the expression for the given values of the variables.
(n + 6)2 for n = -8
When n = -8, the expression is equal to
Fastttt
Answers
Answer:
Answer of this is... 4...
This simple question does not require any statistical calculations, only statistical knowledge. The showerhead heights at a men’s athletic locker room were designed to be 72 inches which is well above the mean height of 69.5”. The heights of the athletes are normally distributed. From the choices listed below, which is more likely to be true: a, b or c?
a.The mean height for a randomly selected sample of 20 players is more than 72 inches.
b.The height of one randomly selected player is more than 72 inches.
c.Both a and b are equally likely.
Why? (Justify your answer with a short answer.)
Answers
That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.
Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.
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Which drink has more sugar per fluid ounce? 11 POINTS
Answers
Answer:
essentially the question is if
\( \frac{14}{8} or \ \: \frac{12}{7} \)
is more
we can express the two fractions as 98/56 and 96/56
(56 is just 7*8)
now we can see that 14/8 is slightly more than 12/7, Drink a is your answer
what is the volume of a sphere with a diameter of 6.4 CM rounded to the nearest tenth of a cubic centimeter
Answers
Volume of a sphere = 4/3 π r^3
Where :
r= radius
Also
Radius = diameter /2
Replacing:
V= 4/3 π (6.4/2)^3 = 137.3 cm3
Which statement is true about the graphed function
Answers
i need a bit of help here
Answers
The angle m∠BAC is 54 degrees.
How to find an arc angle?If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore, let's find the angle BAC.
Hence,
10x + 4 = 1 / 2 (12x + 15 + 9x - 12)
10x + 4 = 1 / 2 (21x + 3)
10x + 4 = 10.5x + 1.5
10x - 10.5x = 1.5 - 4
-0.5x = -2.5
divide both sides by -0.5
x = -2.5 / -0.5
x = 5
Therefore,
m∠BAC = 10(5) + 4
m∠BAC = 50 + 4
m∠BAC = 54 degrees
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Find the unit rate: 3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
Answers
Answer:
1.20
Step-by-step explanation:
3.60( the cost)divided by the number of apples.
Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning
Answers
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:
Step 1: Calculate the monthly interest rate.
The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):
Monthly interest rate = 9.5% / 12 = 0.0079167
Step 2: Determine the monthly payment.
The monthly payment is given as $400.
Step 3: Calculate the interest and principal paid each month.
The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.
Principal paid = Monthly payment - Interest paid
Step 4: Track the remaining balance each month.
Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.
Step 5: Repeat Steps 3 and 4 until the balance reaches zero.
Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.
Step 6: Determine the total number of months and the total amount paid.
Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.
Let's calculate the number of months and the total amount paid, including interest:
Month 1:
Interest paid = 0.0079167 * $1,367.90 = $10.84
Principal paid = $400 - $10.84 = $389.16
New balance = $1,367.90 - $389.16 = $978.74
Month 2:
Interest paid = 0.0079167 * $978.74 = $7.75
Principal paid = $400 - $7.75 = $392.25
New balance = $978.74 - $392.25 = $586.49
Month 3:
Interest paid = 0.0079167 * $586.49 = $4.64
Principal paid = $400 - $4.64 = $395.36
New balance = $586.49 - $395.36 = $191.13
Month 4:
Interest paid = 0.0079167 * $191.13 = $1.51
Principal paid = $400 - $1.51 = $398.49
New balance = $191.13 - $398.49 = -$207.36 (Paid off)
It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:
Total amount paid = 4 * $400 = $1600
Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
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Find the x-intercept and y-intercept of the line . 7/3x - 1/3y = 1
Answers
Answer:
Step-by-step explanation:
The general equation of a line is y = mx+b
Rewrite the given equation (7/3)x -(1/3)y = 1 in the form of the general equation y=mx+b, where b is the y-intercept.
(7/3)x -(1/3)y = 1
-(1/3)y = -(7/3)x +1 , subtract (7/3)x from both sides
(1/3)y = (7/3)x -1 , multiplyed both sides by (-1)
y= 3(7/3)x -3, multiply both sides by 3
y= 7x -3, so
y-intercept is -3 or you can say that the y-intercept is at point (0, -3)
The x -intercept is at point (something, 0) so our y coordinate is 0 there
y= 7x -3, yet y=0 we said so substitute y with 0 in the equation and find x
0=7x-3 , add 3 to both sides
3= 7x, divide both sides by 7
3/7 = x
x-intercept is 3/7 or you can say that the x-intercept is at point (3/7, 0)
PLZZZZZ HELP ME WHOEVER ANSWERS FIRST CORRECTLY I WILL MAKE BRAINLIESTTTT
Answers
Problem 1
Answer: x = 60-----------------
Work Shown:
For any triangle, the three angles always add to 180.
60+60+x = 180
x+120 = 180
x = 180-120
x = 60
This triangle is considered equiangular because all angles are equal. It is also equilateral meaning all sides are the same length.
====================================================
Problem 2
Answer: x = 134-----------------
Work Shown:
We'll use the remote interior angle theorem. This is where we add two interior angles, and that sum is equal to an exterior angle that is not adjacent to any of the interior angles mentioned.
So basically we can say
x = 64+70
x = 134
If you want a longer method, then let y be the missing interior angle of the triangle. Note how 64+70+y = 180 which solves to y = 46. Then note how y+z = 180 since the angles y,z are a linear pair. That means y+z = 180 turns into 46+z = 180 which solves to z = 134.
====================================================
Problem 3
Answer: x = 36-----------------
Work Shown:
Use the remote interior angle theorem
(interior angle1)+(interior angle2) = remote exterior angle
(24) + (2x+18) = 3x+6
2x+42 = 3x+6
42-6 = 3x-2x
36 = x
x = 36
This website ain't any help no body's helping me with ma questions
Answers
Answer: 240
Step-by-step explanation: V=whl=6·5·8=240
1. Thank me
2. Get nae naed
3. Get nae naed again
Thank you and have a great nae nae
Find the ratio please help :mathematics
Answers
Answer:
answer is 19:13 .............
find the value of expression of 1/8 + 4 7/8
Answers
Answer:
Hope the picture will help you
What is EG? I will give brainlist for the first person who gives the right answer.
Answers
2x + 10 is the length of EG in triangle .
How do triangles work?
The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a single point.
The triangle's three angles add up to a total of 180 degrees. Triangulus, from the roots tri-, "three," and angulus, "angle or corner," is the Latin word for triangle. It means "three-cornered" or "having three angles."
EG = EF + FG
= x + x + 10
= 2x + 10
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Jeff bicycles 126 miles at the rate of r mph. The same trip would have taken 2 hours longer if he had decreased his speed by 4 mph. Find r. His original speed was r = _____________ mph.
Answers
Given Information:
Distance = 160 miles
Required Information:
Rate = r = ?
Answer:
Rate = r = 20 mph
Step-by-step explanation:
Recall that the rate is given by
Rate = distance/time
\(r = \frac{d}{t} \\\\t = \frac{d}{r} \\\\t = \frac{160}{r} \\\\\)
It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.
Mathematically,
\(\frac{160}{(r-4)} = \frac{160}{r} + 2 \\\\\)
Simplify the equation
\(\frac{160}{(r-4)} - \frac{160}{r} = 2 \\\\\frac{160r - 160(r-4)}{r(r-4)} = 2 \\\\\frac{160r - 160r+640)}{r(r-4)} = 2 \\\\160r - 160r+640 = r(r-4) (2) \\\\640 = r(r-4) (2) \\\\640 = (r^2 - 4r) (2) \\\\640 = 2r^2 - 8r \\\\2r^2 - 8r-640 =0 \\\\2(r^2 - 4r-320) =0 \\\\r^2 - 4r-320 =0 \\\\\)
Now we are left with a quadratic equation.
We may solve the quadratic equation using the factorization method
\(r^2 - 4r-320 =0 \\\\r^2-20r+16r-320=0 \\\\r(r-20)+16(r-20)=0 \\\\(r-20) (r+16)=0 \\\\\)
So,
\((r-20) = 0 \\\\r = 20 \\\\\)
OR
\((r+16)=0 \\\\r = -16 \\\\\)
Since rate cannot be negative, discard the negative value of r
Therefore, the rate is
\(r = 20 \: mph\)
An expression is ???
Answers
Answer:
s-6
Step-by-step explanation:
difference means subtract
s-6
The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time. Which of the following is the equation of the line of best fit? A. B. C. D.
Answers
The equation for the line of best fit is given as follows:
y = 50x/3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The parameters of the definition of the linear function are given as follows:
m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the graph, when x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence:
y = mx.
When x = 3, y = 50, hence the slope m is given as follows:
3m = 50
m = 50/3.
Hence the equation is:
y = 50x/3.
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qBCO5ypO9m13MpdV66LMvZB6FUp8SIQM.png)
Answers
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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A 13 km 13km13, start text, k, m, end text stretch of road needs repairs. Workers can repair 3 1 2 km 3 2 1 km3, start fraction, 1, divided by, 2, end fraction, start text, k, m, end text of road per week. How many weeks will it take to repair this stretch of road?
Answers
you can start by dividing the total length of the road by the distance that can be repaired per week:
13 km ÷ 3 1/2 km/week = 3.71 weeks
Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.