Answer:
27.75$
Step-by-step explanation:
37-----100%
x-------25%
x=(25×37)÷100
x=9.25
total = 37-9.25=27.75
her new total will be 27.75$
Answer and Step-by-step explanation: Two lines can be parallel, perpendicular or none of them. The difference is in the slope of a line.
<u>Slope</u> is the change in y over the change in x, or, in other words, it is the steepness of the line.
Two lines are parallel if they don't intersect. So, they have the same slope and different y-intercept. For example:
f(x) = m₁x + b₁
g(x) = m₂x + b₂
Functions f(x) and g(x) are parallel if
m₁ = m₂ and b₁ ≠ b₂
Two lines are perpendicular when they intersect at a 90° angle. For that to happen, the multiplication of the slope of each function must result in -1. For example:
h(x) = m₃x + b₃
j(x) = m₄x + b₄
The functions will be perpendicular if:

If the slopes are not the same or reciprocal, the lines are neither.
✓ –28 in simplest radical form is 27!!!
Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Answer:
45 inches
Step-by-step explanation:
Create a proportion where x is the perimeter of the smaller triangle:
= 
Cross multiply and solve for x:
5x = 225
x = 45
So, the perimeter of the smaller triangle is 45 inches