Ma what are the steps for using a compass and straightedge to construct a line through point a that is parallel to line j? a horizontal line j and a point a are drawn. the point a is below the horizontal line j. drag the steps and drop them in order from start to finish. place the point of the compass on point q and open it to width qr . use the straightedge to draw a line k that passes through a and intersects line j. label the point of intersection as point p. use the straightedge to draw ab←→. without changing the width of the compass opening, place the point of the compass on point a and draw an arc that intersects line k. label the intersection as point s. with the compass opening set to width qr , place the point of the compass on point s and draw an arc that intersects the arc that was drawn from point a. label the intersection of the arcs as point b. place the point of the compass on point p and draw an arc that intersects lines j and k. label the intersections as points q and r.

Step 1:  Use the straightedge to draw a line k that passes through A and intersects line j. Label the point of intersection as point P.  This is because you must have a point of intersection with the line before you can move forward.

Step 2:  Place the point of the compass on point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R.  This will give us a compass width to move forward.

Step 3:  Place the point of the compass on point Q and open it to width ​ QR.  

Step 4:   Without changing the width of the compass opening, place the point of the compass on point A and draw an arc that intersects line k. Label the intersection as point S.   This gives us the point to use to construct the second point of our parallel line.

Step 5:  With the compass opening set to width QR , place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B.   This is the second point of our parallel line.

Step 6:  Use the straightedge to draw AB←→.  

congruent segments

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: