Classify ∠1 and ∠2 using all names that apply
2 answers:
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Answer:
20 ft long; 12 ft wide
Step-by-step explanation:
Let w = the width of the garden
Then l = w + 8
A = lw
A = (w + 8)w
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The sidewalk is 4 ft wide, so, for the big rectangle consisting of garden plus sidewalk:
Width = w +8
Length = w + 16
Area = (w + 8)(w + 16)
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The <em>difference</em> between the two areas is the area of the sidewalk (320 ft²).
(w + 8)(w + 16) - (w + 8)w = 320 Factor out w + 8
(w+ 8)(w + 16 – w) = 320 Combine like terms
(w+ 8) × 16 = 320 Divide each side by 16
w + 8 = 20 Subtract 8 from each side
w = 12 ft
l = 12 + 8
l = 20 ft
The garden is 20 ft long by 12 ft wide.
Answer:
6
Step-by-step explanation:
The mean of a list of test scores is 80
Adding an additional test score of 92 caused the mean to rise to 82
To find:
After this additional, how many total test are in the list ?
Solution:
Let the total number of test at first =
And sum of total score =
As we know, mean =
Multiplying both sides by
Now, as adding an additional test score of 92 caused the mean to rise to 82,
By dividing both sides by minus ( - )
By dividing both sides by 2
Thus, total number of test at first = = 5
And, after this additional score added, total number of tests are