Find the value of x. a. 7 b. 9 c. 11 d. 12

x=9 i.e. option B is the answer.

Explanation:

Given that in triangle ABC, sides AB and BC are 36 and 28 units.

BD is angle bisector of angle B meeting AC at point D

Also AC = 16 cm.

We know that by angle bisector theorem,

AB/AC = BD/DC

Or x/DC = 36/28

By compendo and dividendo principle, we rewrite as

Or x/x+DC = 36/(28+36)

x/16 = 36/64

x = 36(16)/64 = 9 units.

she will most likely have 33  

step-by-step explanation:

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.