System of Linear Equations entered :
[1] 5x - 6y = 7
[2] 6x - 7y = 8
Graphic Representation of the Equations :
-6y + 5x = 7 -7y + 6x = 8
Solve equation [2] for the variable x
[2] 6x = 7y + 8
[2] x = 7y/6 + 4/3
// Plug this in for variable x in equation [1]
[1] 5•(7y/6+4/3) - 6y = 7
[1] - y/6 = 1/3
[1] - y = 2
// Solve equation [1] for the variable y
[1] y = - 2
// By now we know this much :
x = 7y/6+4/3
y = -2
// Use the y value to solve for x
x = (7/6)(-2)+4/3 = -1
His lap percentage will be 25% when he loses the sing price
Answer: C. The housecats' weights have a higher mean and are more consistently centered around their mean.
Step-by-step explanation:
if we were being more technical then he would be correct because the house cats have a higher mean than the smaller dogs.
SD= 9.9
HC= 11
so the house cats have a higher mean than the smaller cats, in addition has a more consistent mean then smaller dogs due to the range of the lowest in the highest number.
Alternate interior angles means the angles across from another are equal. If you follow the line up 85 is directly across from 2x+1
then you can say
85 = 2x +1
85 -1 = 2x
84 = 2x
84/2 = x
42 = x
supplementary angles make a straight line so they must add to equal 180 degrees.
That means the other angle 3y+5 = 180-85
3y +5 = 95
3y = 95-5
3y = 90
y = 90/3
y = 30
The
triangle inequality theorem says that the sum of the lengths of any two sides of the triangle must be greater than the length of the third side (see picture) and this must be true for all sides for it to be a real triangle
Let's say a = 17 ft, b = 36 ft, and c = 16ft.
We know that:
Plug our numbers in and check whether each inequality is true or not. If they are all true, then the dimensions are possible. If one or more isn't true, then the dimensions are not possible:
Since a + c (17+16) is not greater than b (36), the dimensions are not possible because it does not follow the triangle inequality theorem.