X equals the square root of 6-x
x= the eqaution for number 2
Answer:
1/6
Step-by-step explanation:
should be the answer if I'm not mistaken
Answer:
EG is 19 units
Step-by-step explanation:
Let us solve the question
∵ Lines CD and EF intersected at point G
∴ CD = CG + GD
∴ EF = EG + GF
∵ Line EF bisects line CD
→ That means G is the midpoint of CD
∴ CG = GD
∵ CG = 5x -1
∵ GD = 7x - 13
→ Equate them to find x
∴ 7x - 13 = 5x -1
→ Add 13 to both sides
∴ 7x -13 + 13 = 5x - 1 + 13
∴ 7x = 5x + 12
→ Subtract 5x from both sides
∴ 7x - 5x = 5x - 5x + 12
∴ 2x = 12
→ Divide both sides by 2
∴ 
∴ x = 6
∵ EF = 6x - 4
→ Substitute x by 6 to find its length
∴ EF = 6(6) - 4 = 36 - 4
∴ EF = 32
∵ EF = EG + GF
∵ GF = 13
∴ 32 = EG + 13
→ Subtract 13 from both sides
∵ 32 - 13 = EG + 13 - 13
∴ 19 = EG
∴ EG = 19 units
Answer:
5/24
Step-by-step explanation:
The question in English is
A tank is filled with water daily to give water to the animals on a farm. As required, 3/8 of the water was taken from the tank to give to the horses and 1/3 of what was left in the tank was given to the pigs. The remainder of the tank was distributed in two equal amounts to give water to the birds and pets. What is the fraction of the water that pets receive to drink?
1) 3/8 of the water was taken from the tank to give to the horses
At this point in the tank there are 1-3/8=5/8 of the water of the tank
2) 1/3 of what was left in the tank was given to the pigs
At this point in the tank there are
(1-1/3)*5/8
(2/3)(5/8)=10/24 of the water of the tank
3) The remainder of the tank was distributed in two equal amounts to give water to the birds and pets
The remainder is equal to 10/24
divided by 2
(10/24)/2=10/48
4) The fraction of the water that pets receive to drink is 10/48
simplify
10/48=5/24
