The sides of a right triangle are represented by three consecutive even integers. Let x be the length of the
shortest side. Which of the following equations correctly
models the situation?
Select one:
x + (x + 2) = x + 4

x²- (x + 4) ² = (x + 2) ²

x² + (x + 2) ² = (x + 4) ²

x² + (x + 1) ² = (x + 2) ²

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: