Answer:
X = 60°
Step-by-step explanation:
the angle you are looking for is a corresponding angle to the angle given (121°)
2x + 1 = 121
121 - 1 = 2x
121 - 1 = 120
2x = 120
120/2 = 60
X = 60
John's hourly rate is 1/8 of the room per hour.
Rick's hourly rate is 1/2 of the room per hour.
Molli's hourly rate would be 3/8 of the room per hour.
It takes Molli 2 2/3 hours to paint the room alone.
Explanation
Since John paints the entire room (100%=1) in 8 hours, he would paint 1/8 of the room in 1 hour.
Since Rick paints the entire room (100%=1) in 2 hours, he would paint 1/2 of it in 2 hour.
We do not yet know Molli's rate, so we will call it x.
We know that 1/8+1/2+x = 1 hour.
We will use 8 as a common denominator:
1/8+4/8+8x/8 = 1
Adding the numerators,
(1+4+8x)/8 = 1
Multiply both sides by 8:
1+4+8x = 8
Add like terms:
5+8x = 8
Subtract 5 from both sides:
5+8x-5=8-5
8x=3
Divide both sides by 8:
8x/8 = 3/8
x = 3/8
Molli's rate is 3/8.
Since she can paint 3/8 of the room in 1 hour, we can set up the equation
3/8x = 1
Divide both sides by 3/8:
3/8x ÷ 3/8 = 1 ÷ 3/8
x = 1/1 ÷ 3/8 = 1/1 × 8/3 = 8/3
x = 2 2/3
This is the amount of time it takes Molli to paint the entire room.
14 + x is the sum of 14 and a number
=17 is equal to 17
put it together and you get 14+x=17
Answer:
point C (-1, -3)
Step-by-step explanation:
The line you are looking for already has two givens: m = 2 and it has coordinate (2,3) on it. You can plug these in to find the equation of the line and then see which of the 4 points it must pass through.
3 = 2(2) + b
-1 = b
the line you are looking for is y = 2x - 1
First, you can rule out points D and B, because after a quick look, you can see that a line with a slope of 2 wouldn't come close to the point (2,3). Now you can choose between C (-1, -3) and A (-2, -3).
Now you can plug in the points C and A into the equation of the line that was obtained in the first part of this answer.
checking point A: -3 = 2(-2) - 1
-3= -5
not true, so now we check point C
checking point C: -3 = 2(-1) - 1
-3 = -2 - 1
-3 = -3
true, so the point must be C
Answer:
Step-by-step explanation:bnbn
