The 3 angles of a triangle will add up to 180 degrees.
5x + 2x + 3 + 3x - 3 = 180...combine like terms
10x = 180
x = 180/10
x = 18
one angle is : 5(x) = 5(18) = 90 degrees
the other angle is : 2x + 3 = 2(18) + 3 = 39 degrees
the last angle : 3x - 3 = 3(18) - 3 = 51 degrees
Answer:
28
Step-by-step explanation:
First multiply 8 by 4 to get 32. Now there is a small triangle in the bottom. Multiply 4 by 2 to get 8. Then divide 8 by 2 to get 4, the area of the triangle. Now lastly 32-4 to get 28 square units, the area.
The answer is B, $6.20.
They sold 62 cups, each for $0.50, which would be $31.00. If you divided it evenly among the 5 of them, they’d each get $6.20.
Answer:
-8
Step-by-step explanation:
For roots r and s, the quadratic can be factored ...
f(x) = (x -r)(x -s) = x^2 -(r+s)x +rs
Then the value of r^2+s^2 can be determined from the coefficient of x (-(r+s)) and the constant (rs) by ...
r^2 +s^2 = (-(r+s))^2 -2(rs) = (r^2 +2rs +s^2) -2rs = r^2 +s^2
Comparing this to your given equation, we have the coefficient of x as (-2m) and the constant term as (m^2+2m+3). Forming the expression ...
(x-coefficient)^2 -2(constant term)
we get ...
r^2 +s^2 = (-2m)^2 -2(m^2 +2m +3) = 2m^2 -4m -6
r^2 +s^2 = 2(m -1)^2 -8
The minimum value of this quadratic expression is where m=1 and the squared term is zero. That minimum value is -8.