An important postulate in geometry states: "through point p, there is only one line parallel to ". what is the equation of line l, parallel to ab that passes through point x?

y=(-5/12)x+(95/12)

Step-by-step explanation:

step 1

Find the slope of the line AB

m=(3-8)/(2+10)=-5/12

step 2

Find the slope of the line parallel to AB

we know that

If two lines are parallel then their slopes are the same

so

the slope is m=-5/12

step 3

Find the equation of the line l parallel to AB that passes through Point X

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-10=(-5/12)(x+5)

y=(-5/12)x-(25/12)+10

y=(-5/12)x+(95/12)

the reporter's right

step-by-step explanation:

1/4 = .25 / 25%

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.