PLEASE HELPPP
3. Triangle ABC has angle measures as shown.
(a) What is the value of x? Show your work.

The value of x is 13°.

Solution:

In triangle, sum of all the interior angles = 180°

m∠A + m∠B + m∠C = 180°

(3x)° + (4x – 1)° + 90° = 180°

3x° + 4x° – 1° + 90° = 180°

7x° + 89° = 180°

Subtract 89° from both sides of the equation, we get

7x° = 91°

Divide by 7 from both sides of the equation, we get

x° = 13°

The value of x is 13°.

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: