Angle e = x angle d = 5x supplementary means they add up to 180
x + 5x =180
6x = 180
6x/6 = 180/6
x = 30
so angle e = 30 and angle d = 5(30) = 150
Answer:
Step-by-step explanation:
d=4 miles=4×1760 yards=7040 yards=7040×3 ft
number of lights=21120 ft
number of lights=21120/145 +1≈145.7+1=146+1=147 lights
Answer:
$843.67
Step-by-step explanation:
1% = 7.8848
7.8848 x 7 = 55.1936
788.48 + 55.1936 = 843.6736
Rounded to nearest cent = $843.67
Answer:
f(x) = x3 + 3x2 − 4x − 12
Step-by-step explanation:
A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.
(x+3)(x+2)(x-2)
(x^2 + 3x + 2x + 6)(x-2)
(x^2 + 5x + 6)(x-2)
x^3 + 5x^2 + 6x -2x^2 - 10x - 12
x^3 + 3x^2 - 4x - 12
Answer:
-20/3 & -40/3
Step-by-step explanation:
Let’s say that the 1st number is X and the 2nd number is Y.
Given that x:y = 1:2 => x/y = 1/2 => 2x = y
and a-5/y+4 = 5/4 (The first number is decreased by 5 and the second number is increased by 4.)
=> 4(x - 5) = 5 (y + 4)
=> 4x - 20 = 5y + 20
=> 4x - 5y = 40
As, 2x = y , 4x = 2y
=> 2y - 5y = 40
=> -3y = 40
=> y = -40/3 ; x = y/2 = -20/3
This might be confusing but I hope this helps :)
