In a parallelogram RSTV, diagonals RY and VS intersect at Q. If RQ=5x+10 ,QT=20 and QS=3x+y and QV= 30 find x and y .

x = 2

y = 24

Step-by-step explanation:

The diagonals in the parallelogram bisect each other. That is why RQ and TQ are the same size and SQ and VQ are the same size:

5x + 10 = 20   | -10

5x = 10            | :5

x = 2

3x + y = 30

3*2 + y = 30

6 + y = 30     | -6

y = 24

The population of the town will be 86,000 in 2015.

Explanation: Between 1950 and 2010 (60 years) , the population rose by 36,000. To find out how much the pop. rose each year, we divide 36,000 by 60 (the amount of years) and get 600. Between 2010 and 2015 there are 5 years. 5x600 = 3,000. 3,000 + 83,000 (population in 2010) is 86,000.