Answer:
Line of east wedge is: 2x - y = 96
So, Option 1 is correct.
Step-by-step explanation:
The east edge cannot intersect with the west edge means that two lines are parallel.
If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.
Slope of west edge.
y = 2x + 5
The standard equation for slope intercept form is:
y = mx+b
where m is the slope. So, m= 2
Now finding line for east edge.
Option 1.
Convert each given equation to standard slope intercept form and find the slope.
2x -y =96
-y = -2x +96
Multiply with -1
y = 2x -96
m = 2
Option 2.
-2x -y = 96
-y = 2x +96
y = -2x-96
m = -2
Option 3
-y-2x =48
-y = 2x +48
y = -2x -48
m = -2
Option 4.
y+2x = 48
y = -2x+48
m = -2
So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.
Line of east wedge is: 2x - y = 96
So, Option 1 is correct.
The integers are x, x + 2 and x + 4
x + x + 2 + x + 4 = 72
3x + 6 = 72
3x = 72 - 6 = 66
x = 66/3 = 22
The least consecutive integer is 22
The second consecutive integer is 24
Therefore, the numbers are 22, 24 and 26
Answer:
D ($46.19)
Step-by-step explanation:
$124.85 * (100% - 63%)
= $124.85 * 37 %
= $124.85 * 0.37
= 46.1945
= $46.19 (to the nearest cent)
Hope this helped!
Answer:
Step-by-step explanation:
As we know that:
Sum of the measure of all interior angles of a triangle is always 180°.
