Answer:
The measure of segment AC is 36 units
Step-by-step explanation:
- The mid-point divides the segment into two equal parts in length
- B is the mid point of segment AC
- That means B divides segment AC into two equal parts in length
∴ AB = BC
∵ AC = 5x - 9
∵ AB = 2x
- The two parts AB and BC are equal in length
∴ BC = 2x
∵ AC = AB + BC
- Substitute the values of AB and BC in the expression of AC
∴ AC = 2x + 2x
∴ AC = 4x
∵ AC = 5x - 9
- Equate the two values of AC
∴ 5x - 9 = 4x
- Add 9 to both sides
∴ 5x = 4x + 9
- Subtract 4x from both sides
∴ x = 9
- Substitute the value of x in any expression of AC
∵ AC = 4x
∵ x = 9
∴ AC = 4(9) = 36
* The measure of segment AC is 36 units
Substitute the x and y values from (3,2).
Formula: y=mx+b
2= 3(3)+b
2-9= -7
y=3x-7
Answer:
The angles are vertical and share the same vertex.
Answer:
B. Distributive Property
Step-by-step explanation:
You are distributing the 2 to the x and 3.
Hopefully this helped!
Brainliest please?
Answer: 80 minutes
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each tank:
An empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute.
So, the amount of water of the tank is equal to the filling rate, 6 liters per minute (6m)
- Tank 1 =0 (empty )+ 6m =6m
The second 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute.
So, the amount of water in the tank is equal to the amount of water already in the tank (1200 g), minus the draining rate (9m)
Since both tanks will have the same amount of water:
6m = 1200-9m
Solving for m (minutes):
6m+9m= 1200
15m = 1200
m= 1200/15
m= 80 minutes
Feel free to ask for more if needed or if you did not understand something.
