Parallel lines s and t are cut by a transversal r. Parallel lines s and t are cut by transversal r. Clockwise from top left, the
angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8. Which angles are corresponding angles?
2 answers:
Answer:
The corresponding angles are:
∠ 1 and ∠ 5
∠ 2 and ∠ 6
∠ 3 and ∠ 7
∠ 4 and ∠ 8
Step-by-step explanation:
When two parallel lines are crossed by another line, the angles in matching corners are called corresponding angles and they are equal in measures
∵ Lines s and t are parallel
∴ s // t
∵ Line r intersects lines s and t
∴ Line r is the transversal
∵ Corresponding angles are formed
- Look to the attached figure
∴ ∠ 1 ≅ ∠ 5 ⇒ corresponding angles
∴ ∠ 2 ≅ ∠ 6 ⇒ corresponding angles
∴ ∠ 3 ≅ ∠ 7 ⇒ corresponding angles
∴ ∠ 4 ≅ ∠ 8 ⇒ corresponding angles
The corresponding angles are:
∠ 1 and ∠ 5
∠ 2 and ∠ 6
∠ 3 and ∠ 7
∠ 4 and ∠ 8
You might be interested in
Answer:
The ticket price that maximizes revenue is $50.
The maximum monthly revenue is $250,000.
Step-by-step explanation:
We have to write a function that describes the revenue of the airline.
We know one point of this function: when the price is $30, the amount of passengers is 7000.
We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.
Then, we can write the revenue as the multiplication of price and passengers:
where x is the variation in the price of the ticket.
Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.
We know that the increment in price (from the $30 level) that maximizes the revenue is $20, so the price should be:
The maximum monthly revenue is:
Answer:
Step-by-step explanation:
Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.
A - the first card is 4
B - second card is ace
We have to find probability for
P(A) = no of 4s in the deck/total cards =
After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it
P(B) = no of Aces in 51 cards/51 =
Hence
(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)