Answer:
70 degrees
Step-by-step explanation:
x = angle
180 - x = it's supplement
90 - x = it's compliment
(180 - x) - 4(90 - x) = 30
180 - x - 360 + 4x = 30
reducing
3x = 210
x = 70
Answer:
3 weeks
Step-by-step explanation:
create a proportion of grass growth rate over time:
(
÷1) = (
÷x )
=
cross-multiply:
28x = 84
x = 84/28 which is 3
Answer:
We have to prove,
(A \ B) ∪ ( B \ A ) = (A U B) \ (B ∩ A).
Suppose,
x ∈ (A \ B) ∪ ( B \ A ), where x is an arbitrary,
⇒ x ∈ A \ B or x ∈ B \ A
⇒ x ∈ A and x ∉ B or x ∈ B and x ∉ A
⇒ x ∈ A or x ∈ B and x ∉ B and x ∉ A
⇒ x ∈ A ∪ B and x ∉ B ∩ A
⇒ x ∈ ( A ∪ B ) \ ( B ∩ A )
Conversely,
Suppose,
y ∈ ( A ∪ B ) \ ( B ∩ A ), where, y is an arbitrary.
⇒ y ∈ A ∪ B and x ∉ B ∩ A
⇒ y ∈ A or y ∈ B and y ∉ B or y ∉ A
⇒ y ∈ A and y ∉ B or y ∈ B and y ∉ A
⇒ y ∈ A \ B or y ∈ B \ A
⇒ y ∈ ( A \ B ) ∪ ( B \ A )
Hence, proved......
Answer:
1.2eStep-by-step explanation:
Answer:
D
Step-by-step explanation:
They are clearly not the same line since they don't have the same slope. Because they don't have the same slope, they're not parallel either. In order to be perpendicular, the product of the slopes of both lines must be -1. Since 3/4 * 4/3 ≠ -1, they are not perpendicular, leaving us with option D as the answer.
