In the given diagram, using the corresponding angles theorem, the measure of angle 1 is 98°
Calculating the measure of an angleFrom the question, we are to determine the measure of angle 1.
From the given information,
We have a diagram whereby two parallel lines are intersected by a transversal.
Angle 1 is located at ones intersection in the diagram.
To determine the measure of angle i, we will use the corresponding angle theorem.
From the Corresponding angles theorem which states that “when a line intersects 2 parallel lines, then the corresponding angles in the 2 regions of intersection are congruent”.
This means that angle i and the angle that measures 98° are congruent.
We can write that
m ∠ 1 = 98°
Hence, the measure of 1 is 98°
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Of the 125 gusts invited to a wedding, 104 attended the wedding. What percent of the invited guests attended the wedding?
Answer:
0.832 percent or if you need it rounded 83 percent of guests.
Step-by-step explanation:
104/125= 0.832
Hope this helps!
Answer:
83%
Step-by-step explanation:
So you get the amount of guest who came to the wedding.
Then you divide the amount of who came then the guest who were invited.
Divide 104 ÷ 125 = 83
So thats how I got my answer
Please please help
Is AABC= ADEF? If so, name the postulate that applies.
OA. Congruent - ASA
B. Congruent - SAS
OC. Congruent - SSS
OD. Might not be congruent
The triangles are congruent under SAS
What is a congruent triangle?To formally show that two triangles are congruent, we use one of several methods, such as the Side-Side-Side (SSS), Side-Angle-Side (SAS), or Angle-Side-Angle (ASA) congruence criteria. For example, if we know that two triangles have the same length for each of their sides (SSS criterion), we can conclude that they are congruent.
Similarly, if we know that two triangles have the same length for two sides and the included angle (SAS criterion), or two angles and the included side (ASA criterion), we can also conclude that they are congruent.
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Which equation is true? 9x2 – 25 = (3x – 5)(3x – 5) 9x2 – 25 = (3x – 5)(3x 5) 9x2 – 25 = –(3x 5)(3x 5) 9x2 – 25 = –(3x 5)(3x – 5).
Answer:
9x² - 25 = (3x - 5)(3x + 5)
Step-by-step explanation:
(a + b)(a - b) = a² - ab + ab - b² = a² - b²
a² - b² = (a + b)(a - b)
Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute hand traces in 49 minutes. Your answer should be in radians.
The measure of the angle the minute hand traces in 49 minutes on a clock is 4.084 radians A radian is an angle measure defined by the ratio of an arc length to a radius.
A radian is a measure of angle equal to the radius of a circle, and is defined as the amount of angle subtended by an arc that is equal in length to the radius of the circle. The radian measure of an angle is defined as the ratio of the length of the arc s to the radius r of the arc s of a circle:\(θ = s/r\)
Where,θ is the measure of the angle in radians.s is the arc length. r is the radius of the circle.
One revolution of the clock is equal to 2π radians.
The minute hand of the clock makes one full revolution in 60 minutes. Therefore, in 49 minutes, the minute hand of the clock moves through an angle equal to:
θ = 49/60 × 2π
= 4.084 radians
Thus, the measure of the angle the minute hand traces in 49 minutes is 4.084 radians.
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A full glass of water can hold a bottle.
How many glasses of water can be filled with 3 and 1/2 bottles of water?
9. Find the square root of the following numbers correct to two places of decimal:
a) 0.001
b) 7.01
c) 1.31
with steps pls send
thanks
Answer:
a ) 0.03
b) 2.64
c) 1.14
Step-by-step explanation:
Given :
a) 0.001
Now need to find square root of 0.001
\(\sqrt{0.001} =0.03\)
Similarly
b)
\(\sqrt{7.01} =2.64\)
c)
\(\sqrt{1.31} =1.14\)
Therefore, answer will be :
a ) 0.03
b) 2.64
c) 1.14
Answer: a. 0.03, b. 2.65 c. 1.14
Step-by-step explanation:
You can't find the square root of these manually, so I used a calculator to solve
please i really need help
Step-by-step explanation:
4×10×2=80
20×10×1=200
20×8×1=160
20×10×1=200
2×20×1=40
10×2×2=40
80+200+160+200+40+40=720
A woman bought some large frames for $13 each and some small frames for $7 each at a closeout sale. If she bought 12 frames for $108, find how many of each type she bought.
She bought _
large frames.
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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A quantity p varies jointly with r and s. which expression represents the constant of variation, k? prs startfraction p over r s endfraction startfraction r s over p endfraction p r s
Answer:
k = p/(rs)
Step-by-step explanation:
The equation that represents p varying jointly with r and s will be ...
p = k·r·s . . . . . . . . for some constant of variation k
__
Solving this equation for k gives ...
k = p/(rs) . . . . . divide by the coefficient of k
4. If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB = CD (see Fig. 10.25).
The proof that AB = CD in the concentric circles is shown below
How to prove the equation AB = CDFrom the question, we have the following parameters that can be used in our computation:
The concentric circles
This means that the circles have the same center
From the circles, we have the following congruent lines
AC = BD
Subtract BC from both sides of the equation
So, we have the following representation
AC - BC = BD - BC
Evaluate the difference
This gives
AB = CD
Hence, it is true that AB = CD
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Answer:
Hope it will help you...
. Identify the Range of y = -12 + 4.8 – 1
The equation is a parabola with the coefficient of term squared x negative, so the range is from - infinity to the y-value of the vertex.
We need to find the y-value of the vertex:
\(\begin{gathered} \text{The general form of a parabola is:} \\ y=ax^2+bx+c \\ T\text{he x-value of the vertex is:} \\ x_v=-\frac{b}{2a} \\ \text{In this case, a=-1, b=4 and c=-1, so}\colon \\ x_v=-\frac{4}{2\cdot(-1)}=2 \\ y_v=-2^2+4\cdot2-1 \\ y_v=-4+8-1=3 \end{gathered}\)So, the Range of the function is (-infinity, 3]
find a function whose maclaurin expansion is 1 + x3 + x6 2! + x9 3! + x12 4!
The function is \(e^{(x^3)}\) whose Maclaurin expansion is 1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...
The Maclaurin series of a given function is represented as a sum of terms with increasing powers of x and decreasing factorials. The Maclaurin series you provided is:
1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...
This series can be rewritten as:
∑ \((x^{(3n)} )/n!\) for n=0 to infinity.
This expansion resembles the Maclaurin series for \(e^x\), which is:
\(e^x\) = ∑ \(x^n\)/n! for n=0 to infinity.
However, in the given series, the powers of x are in multiples of 3. To adjust the standard exponential function to match the provided series, you can use the substitution \(x^3\) = u:
\(e^u\) = ∑ \(u^n\)/n! for n=0 to infinity.
Now, substitute \(x^3\) back for u:
\(e^{(x^3)}\) = ∑ \((x^{(3n)} )/n!\) for n=0 to infinity.
Therefore, the function whose Maclaurin expansion matches the given series is f(x) = \(e^{(x^3)}\).
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I'm just kidding i need it i will appreciate it (-_-)
Answer:
D
Step-by-step explanation:
they have like terms
Complete the proof that △QST≅△QRT.
The congruent triangles is solved and the triangles are congruent by AAS postulate
Given data ,
Let the two triangles be represented as ΔRQT and ΔTQS
And , the side TQ is the common side of both the triangles
Now , the measure of ∠TQR ≅ measure of ∠TQS ( given )
And , the measure of ∠TRQ ≅ measure of ∠TSQ ( given )
So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent by ASA postulate
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Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect? y2 + x2 = 100 g(x) graph of the function y squared plus x squared equals 100 x g(x) −1 −22 0 −20 1 −18
Yes, at positive x coordinates
Yes, at negative x coordinates
Yes, at negative and positive x coordinates
No, they will not intersect
Answer:
Yes, at positive x coordinates
Step-by-step explanation:
Find the equation of g(x)
Given ordered pairs of g(x): (-1, -22) (0, -20) (1, -18)
\(\sf let\:(x_1,y_1)=(0,-20)\)
\(\sf let\:(x_2,y_2)=(1,-18)\)
\(\sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-18-(-20)}{1-0}=2\)
Point-slope form of linear function: \(\sf y-y_1=m(x-x_1)\)
\(\implies \sf y-(-20)=2(x-0)\)
\(\implies \sf y=2x-20\)
Substitute the equation of g(x) into the equation of the circle and solve for x
Given equation: \(y^2+x^2=100\)
\(\implies (2x-20)^2+x^2=100\)
\(\implies 4x^2-80x+400+x^2=100\)
\(\implies 5x^2-80x+300=0\)
\(\implies x^2-16x+60=0\)
\(\implies x^2-10x-6x+60=0\)
\(\implies x(x-10)-6(x-10)=0\)
\(\implies (x-6)(x-10)=0\)
Therefore:
\((x-6)=0 \implies x=6\)
\((x-10)=0 \implies x=10\)
So the linear function g(x) will intersect the equation of the circle at positive x coordinates.
A bell tolls every 30 mins on the hour and at half past the hour. How many times does the bell toll between 11.45am and 3.10pm?
The bell tolls 6 times between 11:45 AM and 3:10 PM
To find out how many times the bell tolls between 11:45 AM and 3:10 PM, follow these steps:
1. Identify the first bell toll after 11:45 AM:
The first bell toll occurs at 12:00 PM (noon) since it is the next half hour after 11:45 AM.
2. Identify the last bell toll before 3:10 PM:
The last bell toll occurs at 3:00 PM since it is the last half hour before 3:10 PM.
3. Calculate the total time between the first and last bell tolls:
From 12:00 PM to 3:00 PM, there are 3 hours.
4. Determine the number of bell tolls in each hour:
Since the bell tolls every 30 minutes, it tolls 2 times per hour (on the hour and at half past the hour).
5. Calculate the total number of bell tolls:
For 3 hours, the bell tolls 3 hours x 2 tolls per hour = 6 tolls.
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Which equation represents a relationship where y is a nonlinear function
of x?
O x = -6y
O y = IxI- 3
O 3x + 4y = 8
O 4x - 3y + 2 = 8x-5y+12929
Step-by-step explanation:
if you use the online graphing calculator it will help you
PLS HELP ME WITH 7 AND 6 PLSLSLSLSLS PLS PLS I BEG U PLS
Answer: 7= D, 26 units
Step-by-step explanation:
Take the length. 0,0 to 0,9 the length is 9 Next take the width 0,9 to 4,9 the width is 4 L+Wx2 13x2=26
i need to find the missing lengths
Answer:
20
Step-by-step explanation:
Use the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =
By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =
Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9
Equation:
In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.
Given:
This table;
x y = 3x+3
-3 -6
-2 a
-1 b
0 3
1 c
2 d
To Find:
Values of a, b, c and d
Consider the 2nd row,
x = -2, y = a
Putting the values in the equation,
we get,
a = 3(-2) + 3
⇒ a = -3
Consider the 3rd row,
x = -1, y = b
Putting the values in the equation,
we get,
b = 3(-1) + 3
⇒ b = 0
Consider the 5th row,
x = 1, y = c
Putting the values in the equation,
c = 3(1) + 3
⇒ c = 6
Consider the 6th row,
x = 2, y = d
d = 3(2) + 3
⇒ d = 9
The final answer is,
a = -3, b = 0, c = 6, d = 9.
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HELPPP! YOU'LL GET BRAINLIESTT!
Answer:
G
E
F
H
Step-by-step explanation:
I don't know what the parent function is. you did not specify that.
I guess it is f(x) = x² ?
anyway, x² is the prime example of a parabola, which simply opens upward and has the vertex (its minimum) at 0, 0.
now, g(x) is first of all multiplying this by -1.
that turns the original curve upside-down.
therefore, g(x) opens downward, and it has a maximum.
because of the mentioned upside-down action, this is a reflection across the x-axis.
the multiplication by 1/4 actually decreases the functional values compared to the basic x² curve, so the curve is below the x² curve and that means it stretches the original curve.
Which equation represents a proportional relationship
Answer: B y=100/x
Step-by-step explanation:
HELP PLZ I need help i dont understand it
Answer:
if it is an equilateral triangle then it should have the same measurements on each side.
Step-by-step explanation:
An equilateral triangle is equal on all three sides, meaning if one side is 24, the rest will be the same/equal.
Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
The cost of a gallon of gas increased from $3.54 to $3.87 over the weekend. What is the percent increase for the cost of gas, rounded to the nearest whole percent?
Answer:
9%
Step-by-step explanation:
percent increase is calculated as
\(\frac{increase}{original}\) × 100%
increase = $3.87 - $3.54 = $0.33 , then
% increase = \(\frac{0.33}{3.54}\) × 100% ≈ 9% ( to the nearest whole percent )
Answer:
9 % (rounded to the nearest whole percent)
Step-by-step explanation:
the amount of increase:
3.87 - 3.54 = 0.33
Then
the percent increase for the cost of gas :
\(=\frac{0.33}{3.54} \times 100\\\\= 0.093220338983 \times 100\\\\=9.3220338983 \ \%\)
Find the Mean Absolute Deviation (the M.A.D.) here are the numbers 1,1,1,1,1,1,1,1,1, 1 ,1 1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5 the MAD is?
The Mean Absolute Deviation (MAD) of the given set of numbers is 1.
The mean of the given set of numbers:
Mean = (1+1+1+...1+2+2+..+3+3+...+4+4+4+5+5)/30
Mean = 2.2
The absolute deviation of each number is the absolute value of the difference between the number and the mean.
Absolute deviation of 1 = |1 - 2.2| = 1.2
Absolute deviation of 2 = |2 - 2.2| = 0.2
Absolute deviation of 3 = |3 - 2.2| = 0.8
Absolute deviation of 4 = |4 - 2.2| = 1.8
Absolute deviation of 5 = |5 - 2.2| = 2.8
Now, take the mean of these absolute deviations:
MAD = (11×1.2+9×0.2+5×0.8+3×1.8+2×2.8)/30
MAD = 30.7/30 ≈ 1
Therefore, the Mean Absolute Deviation (MAD) of the given set of numbers is 1.
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there are 20 computers in the school library and 80 sixth-grade students. what is the ratio in lowest terms of computers to sixth-grade students?
Answer:
The ratio is 1:4 or 1 computer for every 4 sixth graders.
Step-by-step explanation:
20 for 80 = 20:80
20:80 divided by 10:10 = 2:8
2:8 divided by 2:2 = 1:4
Wht is the y-intercept of the line describes by the equation below?
Answer:
(0,7)
Step-by-step explanation:
This is in the form
y = mx+b where m is the slope and b is the y intercept
y = -5x +7
The slope is -5 and the y intercept is 7
(0,7)
Answer:
(0,7)
Step-by-step explanation:
y=mx+b
y=-5x+7
so y intercept is (0,7)
Convert 3,000 kilograms into pounds.
Answer:
6613.868 pounds
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