Polygon ABCD is plotted on a coordinate plane.If the polygon translates 3 units to the left and 1 unit down,the length of diagonal A’C’ is __ units ( 2,3or 6) if the polygon translates 3 units further to the left and four units down, the length of diagonal A’C’ ( increases,decreases or remains the same
Answers
Length of diagonal A'C' will be 2 units and it will remain the same even after multiple translations.
Length of a segment joining two points and
is given by the expression,
Length between two points =
Therefore, length of diagonal AC joining points A(3, 4) and C(3, 2) will be,
AC =
= 2 units
If the polygon ABCD is shifted left, right, up and down, translations done will be the rigid transformations showing no change in shape and size of the polygon.
Therefore, length of diagonal A'C' will be 2 units and it will remain the same when the polygon is translated.
Learn more,
When a translation is performed on a shaped, it simply moves location. The size and shape of the object do not change. Therefore, the length of AC will remain the same at all times.
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How could you estimate the sale price of items that are 1/4 off
Answers
2,000 grams = 2 kilograms
3,000 grams = 3 kilograms
4,000 grams = 4 kilograms
5,000 grams = 5 kilograms
.
.
10,000 grams = 10 kilograms
.
.
20,000 grams = 20 kilograms
.
.
30,000 grams = 30 kilograms
Answers
Standard
Deduction
Number of Exemptions at
$3650 Each
Delaney $77,568
$8350
Jamie
$71,234
$5700
Oliver
$74,872
$8350
Thomas $77,623
$5700
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?
O
A. Jamie
O
B. Oliver
O
C. Delaney
O
D. Thomas
Answers
If each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.
What is taxable income?
The taxable income is the difference between a worker's gross income and the total deductions (standard or itemized).
Data and Calculations:
Gross Income Standard Number of Taxable
Deduction Exemptions at Income
$3,650 Each
Delaney $77,568 $8,350 $69,218 ($77,568 - $8,350)
Jamie $71,234 $5,700 $65,534 ($71,234 - $5,700)
Oliver $74,872 $8,350 $66,522 ($74,872 - $8,350)
Thomas $77,623 $5,700 $71,923 ($77,623 - $5,700)
Thus, if each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.
Learn more about taxable income at brainly.com/question/2743145
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Answer: Thomas
Step-by-step explanation:
Answers
The remaining box has 20 CD's.
What is Division ?
In mathematics, division is the process of dividing a number into equal parts and determining how many equal parts can be made.
It is given in the question that
The owner of a music store received a shipment of 1532 CDs.
The CDs came in 37 boxes.
The same number of CDs were in 36 boxes.
CDs were in the remaining box = ?
If we divide 1532 by 36 , we get a quotient of 42 and remainder of 20CD's
Which means if 42 CD's are placed equally in 36 boxes and then only 20 CD's will be left and that will be placed in the remaining box.
Therefore , the remaining box has 20 CD's.
To know more about Division
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So you round that to 41 cds per box.
Now that you have figured out how many cds were in each box, you have to figure out the reamaining, and since we got a long number when dividing that means that it didnt go into the number without have extra.
So we multiply (41 • 37 = 1,517) now that we have figured out that total we subract that amount from the total amount of cds
(1,532 - 1,517 = 15)
So there was a total of 15 cds remaining.
Hope this helps!!!
B. 16:10
C. 32:20
D. 9:3
Answers
Answer:
8:5
Step-by-step explanation:
I did the question on study island trust me. :)
Answers
10*5+2 < 10*6
But, If You Add 6 To Both Sides:
10*5+8< 10*6+6.
It Is The Same As
50+8<60+6.
In Conclusion, This Means That As Long As You Add The Same Number To Both Sides, Not Just One, But Both Sides, Your Inequality Will Always Stay The Same! (Unless You Change Something That You Aren't Supposed To Like Making Is (10+6)*5+2 < 6*10+6)
4*3 and 5*3, it would be 12 and 15, but if you add 5 to each side, then it would be, 4*3+5 and 5*3+5, then you would get 17 and 20. So to answer the question, yes the inequality would remain true because the number that you are adding to each side is the same. It is the same with dividing and multiplying and subtracting.