Answer: x=20
Step-by-step explanation:
The two angles are vertically opposite so they are equal to each other
7x-99=2x+1
5x=100
x=20
Answer:
Step-by-step explanation:
The first equation is the weights of the rabbit and the ferret together which is
r + f = 7.
The second equation puts the weight of the ferret in terms of the rabbit. If the ferret's weight is 2 pounds more than the rabbit, then
f = r + 2 (the word "is" means equals). Since we know what f is equal to, we will sub it into the first equation and solve for r:
r + (r + 2) = 7 and
2r + 2 = 7 and
2r = 5 so
r = 2.5 pounds.
A rabbit weights 2.5 pounds and the ferret weights 7 - 2.5 which is 4.5 pounds.
Answer:
y = -2x + 27
Step-by-step explanation:
Firstly, we shall need to reform the given line equation;
y-7 = 1/2 ( x + 2)
y - 7 = x/2 + 1
y = x/2 + 1 + 8
y = x/2 + 8
Comparing this with y = mx + c
where m is the slope, then the slope of the line is 1/2
Since the line we are looking for has a slope perpendicular to this line, it means that the product of their slopes is -1
m1 * m2 = -1
1/2 * m2 = -1
m2 = -2
So we want an equation with slope -2 passing through (6,15)
we use the point slope method here;
y-y1 = m(x-x1)
y-15 = -2(x-6)
y-15 = -2x + 12
y= -2x + 12 + 15
y = -2x + 27
Answer:
14
Step-by-step explanation:
To find the unit rate, we want the denominator to be 1. So 168/12 is 14.