Help please find x problem

Step-by-step explanation:

Remark

Use the parts of the inscribed triangle with the parts of the large triangle. Set up a proportion.

Proportion

6/(x + 7) = 8 / ( (x+7) + (x + 1)  )     Simplify the right

Solution

6/(x + 7) = 8 / (2x + 8)                  Cross Multiply

6(2x + 8) = 8 (x + 7)                      Remove the brackets

12x + 48 = 8x + 56                       Subtract 8x from both sides

12x - 8x + 48 = 56                        Simplify

4x + 48  = 56                               Subtract 48 from both sides

4x = 56 - 48

4x = 8                                           Divide by 4

4x/4 = 8/4

x = 2

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.

answer: it's d

step-by-step explanation: