This new circle is the dilated image of circle A, and we can see that it is similar to circle X, with a scale factor of XY/AB. Therefore, the two circles are similar.
What is circle?
The eccentricity is 0 and the two foci are coincident in a circle, which is a special type of ellipse. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge.
To prove that the circles are similar, we have to translate the center of circle A onto point X and then dilate the image of circle A about its center by a scale factor of XY/AB. The complete statements below describe how to prove that the circles are similar.
Translation:
First, we will translate the center of circle A to the point X. To do this, we will use a straightedge and draw a line from the center of circle A to point X. Then we will measure the length of this line, and with the same length, we will draw a new line from point X parallel to the original line. This new line intersects the circle A at a new point B′.
Dilation:
Next, we will dilate the image of circle A about its center by a scale factor of XY/AB. To do this, we will use a compass to draw a circle with radius XY centered at point X. Then we will draw a line from the center of circle A to point B′.
This line intersects the circle with radius XY at a new point Y. We will then draw a new circle with center A and radius AY. This new circle is the dilated image of circle A, and we can see that it is similar to circle X, with a scale factor of XY/AB. Therefore, the two circles are similar.
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Select the correct answer from each drop-down menu.
joshua started his own lawn care business. he donates 10% of his income to a local charity, which is recognized by the irs as a qualified
charitable organization.
joshua can claim expenses from his business and charitable donations as
, and they will reduce the
reset
next
Joshua can claim expenses from his business and charitable donations as deductions, and they will reduce the taxable income.
Joshua can claim expenses from his business and charitable donations as deductions, and they will reduce the taxable income.
By claiming business expenses, Joshua can deduct the costs incurred in running his lawn care business, such as equipment, supplies, and advertising expenses, from his total income.
This reduces the taxable portion of his income. Additionally, since Joshua's donations to the local charity are made to a qualified charitable organization, he can claim them as charitable deductions.
This means that he can subtract the donated amount from his taxable income, further reducing the tax liability.
By taking advantage of these deductions, Joshua can lower his taxable income and potentially decrease the amount of taxes he owes to the IRS.
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one more than three times a number is the same as the number decreased by 5 find the number
3x+1 = 5x-15
3x+1-5x = -15
-2x+1 = -15
-2x=-15-1
-2x=-16
x = 8
This question requires TWO checkboxes to complete. Alex is building the fraction moted below to find the product of the experim 325 one-whole 4 1 ! d 공 중 중 1 a ! 1 6 중 Select the option that correctly completes each statement A 3 Alex can find the product by shading B 5 6 sections in each row. 2 6 15 The product of the expression 3 xãi is 6 f 15 풍 6 E. 75/6
Alex can find the product by shading 5 sections in each row. In this way, each shaded row represents 5/6.
Now, to find the product, Alex has to add the shaded values, that is,
\(\frac{5}{6}+\frac{5}{6}+\frac{5}{6}=\frac{5+5+5}{6}=\frac{15}{6}\)plz i need to findthe area of the octagon plzzzzzz help
Answer:
Check pdf
Step-by-step explanation:
Jamie is fencing using a Sabre that is 34 in long if he is standing 23 in from his opponent what angle should he use to strike down at his opponent
No
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The scatter plot shows the relationship between the number of hours michele cycles on different days and numbers of miles traveled each day. a line of best fit is drawn on the scatter plot. based on the line best fit, which is the best estimate for the number of miles michele would cycle in 2 hours
As per the concept of average rate of change, the best estimate for the number of miles Michele would cycle in 2 hours is 24 miles
Here we have given the scatter plot shows the relationship between the number of hours Michele cycles on different days and numbers of miles traveled each day.
Then the average rate of change is calculated as,
=> (5 - 2) / (0.50 - 0.25)
=> 3/0.25
=> 12.
Then the best estimate for the number of miles Michele would cycle in 2 hours is calculated as,
=> 2 x 12
=> 24.
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Kuta Software - Infinite Algebra 1 Name___________________________________ Adding and Subtracting Polynomials
Kuta Software - Infinite Algebra 1 is an educational tool that focuses on providing students with algebra 1 exercises. The software includes a range of topics that cover the fundamentals of algebra 1. One of the topics that the software covers is Adding and Subtracting Polynomials. Adding Polynomials involves combining like terms.
In the case where the polynomials are in descending order, students can start adding or subtracting their respective terms. Similarly, if the polynomials are in ascending order, the students should start with the terms with the highest degree and work their way down. Adding polynomials is relatively easy since it involves combining like terms.
However, when it comes to subtracting polynomials, the process becomes a bit more complicated. The subtraction of polynomials involves changing the sign of the terms to be subtracted. To be able to do this, students can first distribute a negative sign throughout the polynomial, then follow the same procedure they would have followed when adding polynomials to combine like terms.
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Adding and subtracting polynomials in Algebra involves combining or subtracting like terms. For practice, Kuta Software provides various activities. An example is given to demonstrate the process.
Explanation:Adding and subtracting polynomials is a key concept within the subject of Algebra 1. Kuta Software is a common educational platform that offers a variety of activities for practicing this skill. In essence, to add or subtract polynomials, you combine or subtract like terms, which are terms with the same variable and exponent. For example, if you were to add the polynomials 3x^2 + 2x and 5x^2 - 2x, you would combine the x^2 terms and the x terms separately, resulting in (3x^2 + 5x^2) + (2x - 2x), which simplifies to 8x^2.
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What is Curtis's net pay?
Employee: Curtis R. Evans
SSN: 555-55-5555
Earnings
Regular Earnings:
Overtime
Gross Earnings:
O $589.23
Pay period: 8/20/2005 to 8/26/2005
O $407.86
$382.86
$421.00
O $426.16
78.00
Federal Taxes:
FICA
State Tax
Insurance:
Retirement:
Union Dues:
NET PAY:
?
$29.50
$30.75
$18.30
$25.00
$7.50
$6.00
If the Employee: Curtis R. Evan with SSN: 5 5 5-55-5 5 55 has regular earning of $421 and overtime of $78. Curtis's net pay is $499.
What is net pay ?Net pay can be defined as the amount a person received or earn as a salary after all deduction has been substracted.
Using this formula to determine the net pay
Net pay = Regular earnings + Overtime
Where :
Regular earning = $421
Overtime = $78
Let plug in the formula
Net pay = $421 + $78
Net pay = $499
Therefore we can conclude that the net pay or take home amount is the amount of $499.
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How would I use the distributive property for 39 x 25
Answer:
1(39x5)
Step-by-step explanation:
I dont really know what you mean, but here you go
hope this helps!
can cut paper animals with scissors, something she couldn't accomplish at age 3. how did her dexterity improve?
Her dexterity improved due to Increased myelination of the central nervous system.
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divide the polynomials 3x^5+x^4-4x^2/x
Diego put $15,000 into a savings account 6 years ago.
- The account earned 3.25% simple annual interest.
He made no additional deposits or withdrawals.
Based on this information, what is the balance in dollars and cents in Diego's savings account at the end of these 6 year
$18.173.21
B $2,925.00
$17,925.00
D $3,173.21
Answer: The answer is option C: $17,925.00.
Step-by-step explanation: Using the simple interest formula:
I = Prt
where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
We can find the interest earned over the 6 years:
I = P * r * t = $15,000 * 0.0325 * 6 = $2,925
Adding the interest to the principal, we get the balance at the end of the 6 years:
Balance = Principal + Interest = $15,000 + $2,925 = $17,925
Therefore, the answer is option C: $17,925.00.
which properties can be used to solve 7y-15=-29? select all that apply.
a. identity property of multiplication
b. addition property of equality
c. distributive property
d. inverse property of multiplication
e. commutative property of addition
Answer:
e d and b
Step-by-step explanation:
just trust me
A rectangular box weight 2.8 pounds. Width 7.70 inches,depth 7.75 inches and height 1.41 inches what is the length
The length of the rectangular box is given as follows:
1.59 inches.
How to obtain the volume of the rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:
Volume = length x width x height.
A rectangular box weight 2.8 pounds, and each pound has 27.68 cubic inches, hence the volume in in³ is given as follows:
V = 2.8 x 27.68
V = 77.504 in³.
The width is of 7.70 inches and the height is of 7.75 - 1.41 = 6.34 inches, hence the length is obtained as follows:
7.70 x 6.34l = 77.504
l = 77.504/[7.70 x 6.34]
l = 1.59 inches.
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15) Translate 4 units down, and then reflect over the y-axis. Pre-image: (5, 15) (4, 12) (2, 18) mage: I need help
The image of the transformation is (-5, 11) (-4, 8) (-2, 14)
How to determine the image of the transformationFrom the question, we have the following parameters that can be used in our computation:
Pre-image: (5, 15) (4, 12) (2, 18)
Transformation: Translate 4 units down, and then reflect over the y-axis.
Mathematically, this can be expressed as
(x, y) = (-x, y - 4)
Substitute the known values in the above equation, so, we have the following representation
(5, 15) (4, 12) (2, 18) = (-5, 11) (-4, 8) (-2, 14)
Hence, the image is (-5, 11) (-4, 8) (-2, 14)
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Please help me with this homework assignment! I am very confused. I am very sick and I have to complete this by tomorrow! Please help me ASAP! If you do so you will be a lifesaver! I will give you a brainliest as well! Thank you so much!
4. The total distance travelled is
= 12 km
5. The displacement at friend's house
= 2 km due east
6. speed is 3 km per hour
7. velocity 6 km/hr
8. The difference in the value of speed and the velocity the direction
9. A horizontal line on a speed-time graph represents constant speed.
How to find the distance travelled4. The total distance travelled is solved by summation of
AB + BC + CD
= 3 + 4 + (3 + 2)
= 12 km
5. The displacement at friend's house
= (4 - 2) km due east
= 2 km due east
6. Calculation of average speed
speed is solved using the formula = distance / time
time = 5 - 1 = 4 hours
distance covered = 12 km
speed = 12 / 4 = 3 km per hour
7. velocity in km per hour
velocity = displacement / time
= 3 km / 0.5 hr
= 6 km/hr
8. The difference in the value of speed and the velocity is because the parameters used are of different values
for instance time time for speed is 4 hours while time for velocity is 0.5 hours
more important is the direction distance does not consider direction wile displacement considers direction
9. A horizontal line on a speed-time graph represents constant speed or zero acceleration
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what is 30 grams in ounces?
Answer:
1.05821886 ounces
Step-by-step explanation:
To convert 30 grams to ounces, use the conversion factor 1 ounce = 28.3495 grams.
Solve each inequality given that the function f is increasing over its domain\(f(4x-3)\geq f(2-x^2), D_{f}=(-8, 4) \\g(3x^2-2x)\geq g(3x-2), D_{g}=All real numbers\)
The values of the inequalities are -5 ≤ x ≤ 1 and 2/3 ≤ x ≤ 1
What are inequalities?
An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Here, we have
Inequality 1: f(4x - 3) ≥ f(2 - x²), Df = (-8 , 4)
The function increases at (-8,4).
So, we have:
4x - 3 ≥ 2 - x²
Rewrite as:
x² + 4x - 2 - 3 ≥ 0
Evaluate the like terms
x² + 4x - 5 ≥ 0
Expand
x² + 5x - x - 5 ≥ 0
Factorize the expression
x(x + 5) - 1(x + 5) ≥ 0
Factor out x + 5
(x - 1)(x + 5) ≥ 0
Solve for x
x ≥ 1 or x ≥ -5
Rewrite as:
-5 ≤ x ≤ 1
Inequality 2: g(3x² - 2x) ≥ g(3x - 2), Dg = all real numbers
g(3x² - 2x) ≥ g(3x - 2)
(3x² - 2x) ≥ (3x - 2)
Evaluate the like terms
3x² - 2x -3x + 2 ≤ 0
3x² - 5x + 2 ≤ 0
3x² - 3x -2x + 2 ≤ 0
3x(x-1) -2(x-1) ≤ 0
Solve for x
x≤1 or x≤2/3
Hence, the values of the inequalities are -5 ≤ x ≤ 1 and 2/3 ≤ x ≤ 1
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The outline of Pete's garage floor is shown. Pete wants to paint the floor of his garage. How many square feet of paint does he need to cover it?
Pete needs 270 sq ft. of paint for his garage floor.
The formula for area of a trapezoid is
A=(a+b)/2h
a=18 base
b=12 base
h=18 height
A=(18+12)/2*18
A=270
So, Pete needs 270 sq ft. of paint for his garage floor.
Which equation can be used to solve for X in the following diagram choose one answer A: 13x - 5x = 180 B: 5x + 13x = 90 C: 5x + 13x = 180 D: 5x = 13x
Answer:
C) 13x + 5x = 180
Step-by-step explanation:
The angles are supplementary
Round 1.49328to the nearest hundredths
Answer:
1.49
Step-by-step explanation:
Answer:
1.49328 rounded to the nearest hundredths is 1.49
a person leaves home and walks 4 miles west, then 3 miles southwest.how far from home is she?$6.478469167$correct milesin what direction must she walk to head directly home?$70.8864353$incorrect 19.113564701735 degrees north of east
The person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.
To find the distance and direction the person needs to walk to head directly home, we can use the Pythagorean theorem and some trigonometry.
1. First, break the southwest walk into west and south components. Since it's a 3-mile walk at a 45-degree angle, the west and south components are equal: 3 * cos(45°) = 3 * 0.7071 ≈ 2.121 miles for both west and south components.
2. Calculate the total west and south distances. The total west distance is the sum of the initial westward walk and the west component of the southwest walk: 4 miles + 2.121 miles ≈ 6.121 miles. The total south distance is just the south component of the southwest walk: 2.121 miles.
3. Use the Pythagorean theorem to find the straight-line distance back home: √((6.121 miles)^2 + (2.121 miles)^2) ≈ 6.478 miles, which is the correct distance.
4. Determine the angle between the eastward direction and the straight-line path back home. Use the inverse tangent function: angle = atan(south distance / west distance) = atan(2.121 miles / 6.121 miles) ≈ 19.11° north of east, which is the correct direction.
So, the person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.
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a sweater is marked down 15% off the original price. if the original price was $49.00 what is the sale price of the sweater before sales tax
Answer:
41.65
Step-by-step explanation:
"None for now"
Answer:
41.65
Step-by-step explanation:
100% - 15% = 85%
85% of 49 is 41.65 or 0.85x49=41.65
Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.
The maximum amount you can earn is $540
a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.
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(Simple)......Classify the transformation pls
The transformation represented by the figure is (c) translation
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
The figure
On the figure, we have the following
A figure and its translated image
When a shape is translated to form another, then the transformation is a translation
Hence, the transformation is translation
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10. Find the value of x.
125°
(5x + 30)°
Answer:
19
Step-by-step explanation:
5x+30=125
125-30=95
isolate the variable 95/5=19
CAN ANYONE HELP PELASE THIS IS DUE I need step by step distribution on the math equation
Answer:
Step-by-step explanation:
Use distributive property, then combine like terms. Don't forget if you divide by a negative number you have to reverse the symbol. Very important! See image.
Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is:__________
Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is procedural.
What is procedural memory?Procedure memory exists a kind of implicit memory (unconscious, long-term memory) that helps people carry out particular tasks without thinking about their previous experiences. It frequently resides below the consciousness level and controls the actions we take. The automatic retrieval and use of procedural memories, which are relied upon when appropriate, is necessary for the execution of integrated motor and cognitive functions, such as tying shoes, reading, and flying an airplane. Procedural memories are recovered and used without any conscious control or attention being needed. Procedural learning, or repeatedly completing a challenging activity until all required brain networks are able to coordinate to complete the job automatically, is how procedural memory is established.To learn more about procedural memory, refer to:
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using the elimination method to solve a system of equation -x+y=-3 3x+2y=9
Answer:
I didn't get it by which method you are saying
Answer:
x=3+y
3x+2y=9
3(3+y)+2y=9
-->y=0
×=3+0
x=3
(x,y)=(3,0)
Kala’s family is shopping for a large screen TV. The TV they decided on has a retail price of $1,000 at four stores. The state sales tax is 5%. Each store is offering a different sales promotion, as listed in the table.
Store
Promotional Offer
A
$80 rebate
B
10% discount on price
C
Store pays all sales tax
D
$40 rebate with store paying half of sales tax
Which store has the best deal?
store A
store B
store C
store D
Answer:
B-10% discount on price
Step-by-step explanation:
A - $1050 - 80 = $970
B - $900 + $45 = $945
C - $1000
D - $1025 - $985
Answer:
store b
Step-by-step explanation: