Quadrilateral wxyz is on a coordinate plane. segment xy is on the line x − y = −3, and segment wz is on the line x − y = 1. which statement proves how segments xy and wz are related?
a. they have slopes that are opposite reciprocals of 1 and −1 and are, therefore, perpendicular.
b. they have the same slope of 1 and are, therefore, parallel.
c. they have slopes that are opposite reciprocals of 0 and undefined and are, therefore, perpendicular.
d. they have the same slope of −1 and are, therefore, parallel.

option b they have the same slope of 1 and are, therefore, parallel.

step-by-step explanation:

we know that

if two lines are parallel, then their slopes are the same

segment xy

x-y=-3

isolate the variable y

y=x+3

the slope of segment xy is m=1

segment wz

x-y=1

isolate the variable y

y=x-1

the slope of segment wz is m=1

therefore

they have the same slope of 1 and are, therefore, parallel.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

the answer to this question is 3/19

step-by-step explanation: