Answer:
x = 61
Step-by-step explanation:
To answer this question, we combine like terms:
44 + 59 + 74 = 177
The total will have to be 360, so....
177 + x + x + x = 360
or
177 + 3x = 360
360 - 177 = 183
So, 3x = 183
183 / 3 = 61
So, x = 61!
:)
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2
Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1
The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1
Slope of side KL = m KL = m MN = Slope of side MN
The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN
Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1
The answer is 8percent is 64.8 dollars hope this helps you thank you so much have a great day
Answer:
The correct answer is 10 days.
Step-by-step explanation:
To fill a trench, 5 men work for 6 hours a day for eight days.
Total work hours required is given by 5 × 6 × 8 = 240 hours.
The same work is supposed to be done by 3 men working 8 hours a day.
Let these three men need to work for x days.
Therefore total work hour these group of three men gave = 3 × 8 × x = 24x hours
Therefore the work hour of both the group of 5 men and 3 men should be equal.
⇒ 24x = 240
⇒ x = 10
Therefore the group of 3 men have to work for 10 days to fill the trench.
Answer:
point-slope form
(standard form)
Let me know if you prefer another form.
Step-by-step explanation:
The slope of a line can be found using 
provided you are given two points on the line.
We are.
Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.
(4/5 , 1/5)
-( 1/2 , 3/2)
-----------------
3/10 -13/10
2nd/1st = 
is our slope.
So the following is point-slope form for a linear equaiton:
Plug in a point 
.
This gives:
I'm going to distribute:
Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:
Add 26x on both sides:
Add 9 on both sides:
This is actually standard form of a line.
It can be simplified though.
Divide both sides by 2:
(standard form)
