Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found that solution.
2 answers:
I have included a screenshot of the entire question along with its accompanying diagram.
Answer:
∠1 = 163°
Explanation:
1- finding angle 2:
Given that ∠2 together with 17° creates a straight angle, their total is 180°.
Thus:
180 = 17 + ∠2
Solving for ∠2 gives us:
∠2 = 180 - 17
∠2 = 163°
2- finding angle 1:
Since lines a and b are parallel, ∠1 and ∠2 are alternate angles and therefore equal.
We determined that ∠2 = 163°, leading to:
∠1 = 163°
I hope this clarifies things!:)
Answer:
∠1 = 163°
Explanation:
1- finding angle 2:
Given that ∠2 together with 17° creates a straight angle, their total is 180°.
Thus:
180 = 17 + ∠2
Solving for ∠2 gives us:
∠2 = 180 - 17
∠2 = 163°
2- finding angle 1:
Since lines a and b are parallel, ∠1 and ∠2 are alternate angles and therefore equal.
We determined that ∠2 = 163°, leading to:
∠1 = 163°
I hope this clarifies things!:)
You might be interested in
Answer:
The total expected value and standard deviation of your winnings are -$0.081 and $3, respectively.
Step-by-step explanation:
In European roulette, a wheel with 37 slots is spun: 18 are red, 18 are black, and 1 is green.
Bettors can wager on either red or black. Winning on their chosen color means they double their bet, while losing means they forfeit their stake.
Define the probability for the ball landing in a red slot =
The probability of it landing in a black slot =
The probability for landing in the green slot =
Since bets are only placed on red or black,
The winning probability =
and losing probability =
=
If a gambler wins, they receive $3, and if they lose, it amounts to -$3.
The expected value of the total winnings is hence;
E(X) =
=
= = -$0.081
Furthermore, the standard deviation of the total winnings is given by;
S.D.(X) =
=
= = $9
Thus, S.D.(X) =
= = $2.99 ≈ $3
Consequently, the anticipated value and standard deviation of your total winnings are -$0.081 and $3, respectively.