Answer:
y = - 
x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 8x - 4y = 12 into this form
Subtract 4x from both sides
- 4y = - 8x + 12 ( divide all terms by - 4 )
y = 2x - 3 ← in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= -
Since the line passes through the origin then c = 0
y = - x ← equation of perpendicular line
Answer:
(-2,12)
Step-by-step explanation:
First we need to determine what the 6 angles must add to. Turns out we use this formula
S = 180(n-2)
where S is the sum of the angles (result of adding them all up) and n is the number of sides. In this case, n = 6. So let's plug that in to get
S = 180(n-2)
S = 180(6-2)
S = 180(4)
S = 720
The six angles, whatever they are individually, add to 720 degrees. The six angles are y, y, 2y-20, 2y-20, 2y-20, 2y-20, <span>
They add up and must be equal to 720, so let's set up the equation to get...
(y)+(y)+(</span>2y-20)+(2y-20)+(2y-20)+(<span>2y-20) = 720
Let's solve for y
</span>y+y+2y-20+2y-20+2y-20+2y-20 = 720
10y-80 = 720
10y-80+80 = 720+80
<span>10y = 800
</span>
10y/10 = 800/10
y = 80
Now that we know the value of y, we can figure out the six angles
angle1 = y = 80 degrees
<span>angle2 = y = 80 degrees
</span><span>angle3 = 2y-20 = 2*80-20 = 140 degrees
</span>angle4 = 2y-20 = 2*80-20 =<span> 140 degrees
</span><span>angle5 = 2y-20 = 2*80-20 = 140 degrees
</span>angle6 = 2y-20 = 2*80-20 =<span> 140 degrees
</span>
and that's all there is to it
Answer:
x = 10 Perimeter: 129
Step-by-step explanation:
FINDING X:
4x+7 = 5x -3
7 = x -3
10 = x
x = 10
PERIMETER:
4x + 7 + 5x - 3 + 4x - 5
Combine the "x" values
13x + 7- 3 - 5
Combine the numbers
13x - 1
13(10) -1
130 - 1
129
Answer:96.97
Step-by-step explanation:
Given
mean height of women 
Standard deviation of height 
mean height of men 
Standard deviation of height 
P
P
P
i.e. 0.9697=96.97 %
