10 >= 7 + 3x -4x+9<=1
-7 >= -7 - subtract 7 -9<=-9 - Subtract 9
__________ ___________
3 >=3x - divide by 3 -4x<=-8 - divide by -4
x>=1 x<=2
Answer:
x = 8
y = 6
Step-by-step explanation:
Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.
Therefore,
LP = PN
x = y + 2 (eqn. 1)
PM = KP
2x - 8 = y + 10 (eqn. 2)
Substitute x = y + 2 into eqn. 2 to find y
Thus:
2(y + 2) = y + 10
2y + 4 = y + 10
Take like terms
2y - y = -4 + 10
y = 6
Substitute y = 6 into eqn. 1 to find x:
x = y + 2 (eqn. 1)
x = 6 + 2
x = 8
Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:
.
The first runner's speed is 4/5 of the speed of the second runner, hence:





Hence, the speed of the runners are of 16 mph and of 20 mph.
More can be learned about proportions at brainly.com/question/24863377