Answer:
14
Step-by-step explanation:
5x-3+ x+9 + 90= 180
6x+ 96=180
6x=180-96
6x=84
x=84/6
x=14
Using the Pythagorean Theorem, it is found that the base of the pole should be set 10 feet from the end of the wire.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs 
and 
of a right triangle with the length of the hypotenuse h, according to the following equation:
In this problem, the distance is , while the other measures are 
, hence:
The base of the pole should be set 10 feet from the end of the wire.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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Answer:
The largest value in this situation would be $25+$50x6 which equals $450
The distance traveled by Mr.Nersin = 4 miles
The time for which Mr.Nersin rode first = 1/2 hour
The time for which Mr.Nersin rode after a short rest = 1/10 hour
Then
The total time for which Mr.Nersin rode = (1/2) + (1/10) hour
= (5 + 1)/10 hour
= 6/10 hour
= 3/5 hour
So
Average speed of Mr. Nersin = Distance traveled / Time taken
= 4/(3/5) miles/hour
= (4 * 5)/3 miles/hour
= 20/3 miles/hour
= 6 2/3 miles/hour
= 6.67 miles per hour
So the average speed at which Mr.Nersin traveled is 6 2/3 or 6.67 miles per hour.
25,830
First do prime factorization on 42 that is 5*3*3
82 that is 41*2
63 that is 3*3*7
then you do the number that appears the most like 3*3 is the most for the 3
2*3*3*5*7*41
2*3=6*3=18*5=90*7=630*41=25,830
To conclude the answer is 25,830
