Answer:
- 225°
- quadrant 3
- reference angle of 45°
Step-by-step explanation:
585-360= 225
225° is in quad 3
reference angle for quad 3 is
225° - 180°
Every 5 minutes, you gain 4 gallons. 45/5 = 9, 9x4 equals 36, there would be 36 gallons of water in 45 minutes
Answer:
Step One: Identify two points on the line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Step Three: Use the slope equation to calculate slope.
4. SOLVE FOR X:
Using the Alternate Interior Angles Theorem, we know that the 67 degree angle is congruent with the (12x - 5) degree angle. With this information, all I have to do is set the two equal to each other and solve for x.
67 = 12x - 5
67 + 5 = 12x - 5 + 5
72/12 = 12x/12
6 = x
x = 6
SOLVE FOR Y:
Using the Vertical Angles theorem, we know that angle y must be congruent to the 67 degree angle.
y = 67 degrees.
5. SOLVE FOR Y:
Alternate exterior angles: 6(x - 12) = 120
6x - 72 + 72 = 120 + 72
6x/6 = 192/6
x = 32
SOLVE FOR Y:
6((32) - 12) + y = 180
192 - 72 + y = 180
120 + y - 120 = 180 - 120
y = 60
Answer:
Janice and Karen could do in 1 day:
Step-by-step explanation:
To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:
If three persons make a job in 3 1/3 days, 1 person make the job in x:
- 3 persons ⇒ 3 1/3 days or 10/3 days
- 1 person ⇒ x
Then:
(we cancel the unit "persons")
- x = 10 days
Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:
- Time to complete a job between 2 persons =

- Time to complete a job between 2 persons = 5 days
How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:
- 5 days ⇒ 100% of a job
- 1 day ⇒ x
Then:
(you can use the % if you want, the result is the same)

As you can see, <u><em>Janice and Karen just in a day could do 20% of the job</em></u>.