Find the value of x. the diagram is not to scale. lines f and g are parallel.

Lines f and g are parallel and the two angles are same-side angles, so they add up to 180 degrees. An equation for this would add up to 180, then solve for x to find the answer to the problem.

5x + (9x + 26) = 180, combine the like terms.

14x + 26 = 180, subtract 26 from both sides.

14x = 154, divide both sides by 14.

x = 11; so your answer is B. 11.

Using the knowledge of same-side interior angles, given that lines f and g are parallel, the value of x is: B. 11

Given that line f and line g are parallel to each other, the angles 5x and 9x + 26 are same-side interior angles.

Therefore:

(same-side interior angles are supplementary)

x = 11

Therefore, using the knowledge of same-side interior angles, given that lines f and g are parallel, the value of x is: B. 11

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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: