Sketch the following to answer the question. kite qrst has a short diagonal of qs and a long diagonal of rt. the diagonals intersect at point p. side qr = 10m and diagonal qs = 12m. find the length of segment rp. a.6m b.8m c.10m d.12m

QP = 1/2 * QS =  6m

QR^2 = QP^2 + RP^2   ( By Pythagoras theorem).

10^2 = 6^2 + RP^2

RP = sqrt (100 - 36))

= 8 m   answer

the one on the bottom left

step-by-step explanation:

all of the other ones have a specific pattern

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.