Answer:
PQ = 46
Step-by-step explanation:
The midsegment ST is half the length of the third side PQ , that is
ST = PQ , so
5x - 22 = (3x + 19) ← multiply both sides by 2 to clear the fraction
10x - 44 = 3x + 19 ( subtract 3x from both sides )
7x - 44 = 19 ( add 44 to both sides )
7x = 63 ( divide both sides by 7 )
x = 9
Then
PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46
Since <em>N</em>/2 leaves a remainder, <em>N</em> must be odd and ends with 1, 3, 5, 7, or 9.
<em>N</em>/5 also leaves a remainder, so <em>N</em> is not divisible by 5, so it does not end in 5.
The only correct choice is then 9, since
1 = 0•5 + 1 and 1 = 0•2 + 1
3 = 0•5 + 3 and 3 = 1•2 + 1
7 = 1•5 + 2 and 7 = 3•2 + 1
9 = 1•5 + <u>4</u> and 9 = 4•2 + <u>1</u>
<u />
Alternatively, the given information is equivalent to saying
Then you can use the Chinese remainder theorem to find <em>N</em>.
The total snowfall for listed 10 days is 349 cm.
Further explanation:
The sum of snow fell each day will give us the total snowfall for 10 days.
Given:
Snow fell on 10 days:
14 cm, 13 cm, 7 cm, 3 cm, 11 cm, 14 cm,
28 cm, 108 cm, 84 cm, 67 cm
So,
The total snowfall for listed 10 days is 349 cm.
Keywords: Addition, Word problems
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