N; n+1; n+2 - 3 consecutive numbers
n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²
n² + n = n² + 4n + 4 - 19 |subtract n² from both sides
n = 4n - 15 |subtract 4n from both sides
-3n = -15 |divide both sides by (-3)
n = 5
n + 1 = 5 + 1 = 6
n + 2 = 5 + 2 = 7
Answer: 5; 6; 7.
400x to the power of 2 + 480x + 144
Divide
by 5. Or multiply it by 1/5.
You get - 56/25 or
pounds per month.
30 centimeters cubed is the answer
The ~ symbol means that the 2 shapes are similar, meaning the same shape but not the same size.
To determine the measure of side length EF, you must find the relationship between the 2 side lengths.
You should set these up as ratios of the length to the width. So, for ABCD, it is 30/45. Make this equal to x/75. If you simplify the first ratio to 2:3, you can then multiply by both numerator and denominator by 25 to get x = 25 in/ 75 in.
Another way is to use cross products with you proportion. 75 x 30 = 45x. Solve for x to get 50 inches.