Quick only 5 minutes to answer! Question: Tyler and Kiran each started running at a constant speed at the same time. Tyler ran 4,200 meters in 30 minutes and Kiran ran 6,300 meters in 1/2 hour. Eventually, Kiran ran 1 kilometer (1000 meters) more than Tyler. How much time did it take for this to happen?
(I'll give 12 points and I'll name you brainlist.

14 and 2/7 minutes, or 100/7 minutes

Step-by-step explanation:

To begin with, supposed the rate at which Tyler and Kiran are running are variables T and K. We can come up with the equations

30T= 4,200 and

30K= 6,300.

Where 30 is the number of minutes, multiplied by the rate at which they are running to equal the total distance ran. We can isolate the variables by dividing both sides of both equations by 30, resulting in Tyler's speed of 140 meters per minute and Kiran's speed of 210 meters per minute.

We can then plug these values into a final equation where x is the amount of time taken for Kiran to run 1 km more than Tyler

We end up with this: 210x= 140x+1000

Solve first by subtracting 140x from 210x to get 70x, and then divide both sides by 70. This isolates x and you get a final answer of 14 2/7 minutes, or 100/7 minutes

And sorry I couldn't get this to you in the 5 minutes you needed, but I hope this at least helps you understand the concept :')

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

x=half

step-by-step explanation: