∠a and ∠b are vertical angles with  m∠a=x and  m∠b=4x−30 . what is m∠a ? enter your answer in the box.

We can solve for x subtracting x on both sides:

And then we can add 30 in both sides:

And dividing both sides by 3 we got:

Step-by-step explanation:

For this case we know the measure of two angles:

And we know that both angles are vertical and by definition vertical angles are the angles opposite each other when two lines cross.

For this case since both angles are vertical we have the property that:

And replacing what we got we have:

We can solve for x subtracting x on both sides:

And then we can add 30 in both sides:

And dividing both sides by 3 we got:

i dont know sorry

step-by-step explanation:

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: