Apply. streets a and l run parallel to each other. boulevard n forms a 75 degree angle with street l south of (below) their intersection. what angle does boulevard n make with street l north of (above) their intersection. justify your answer

There are two street A and L which run parallel to each other.

Suppose the point of intersection of Boulevard N and Street L is 75°south of below their intersection.

Let their point of intersection is S.

Taking a point P and Q on opposite side of L and R and T  on  opposite side of Line N,

then either ∠PSR=75° or ∠ QSR=75°

Case 1. If  ∠PSR=75°,

then  ∠PSR +  ∠PST=180°[ linear pair]

75°+ ∠PST=180°

∠PST=180°- 75°

∠PST=105°

∠QST =  ∠PSR=75°  [ Vertically opposite angles]

2. If ∠ Q S R =75°

∠ Q S R + ∠ Q S T=180°[linear pair]

75° +∠ Q S T=180°

∠ Q S T=180°-75°

∠ Q S T= 105°

∠Q SR = ∠P ST = 75° [ Vertically opposite angles]

g

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: