I will give a brainlist if you help me with this! :))

The length of   is 20 inches

Step-by-step explanation:

The given parameters are;

Triangle ABC is similar to triangle DEC, therefore, we can write, ΔABC~ΔDEC

= 30 inches

= 18 inches

= 6 inches

By similar triangles formula, we have;

/ = /

Substituting the known values gives;

18/6 = 30/

Therefore, = 30/(18/6) = 30/18 × 6 = 10

= 10

= - = 30 - 10 = 20

= 20 inches.

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.