Answer:
m∠1=118°
m∠2=62°
Step-by-step explanation:
Part A: They are supplementary angles, so
Simplify like terms,
We subtract 92,
Divide by 2,
Part B:
∠
because ∠2 is vertical to 2x+30.
Plug in 44 for x,
∠
Simplify,
∠
∠
° because it is a vertical angle to the 62° angle.
The solution of this question will make use of the Two Tangents from Point Theorem which states that "the measure of an angle formed by two tangents drawn from a point outside the circle is half the the difference of the intercepted arcs".
We can also see that the measure of arcs are: 
and
Thus, as per the theorem, the measure of the 
can be calculated as:
Therefore, we get:
Thus, out of the given options, option B is the correct option.
We are given:
number of kilometers = 875.52 km
time = 38.4 hours
We need to calculate the unit rate, which means that we need to find the number of kilometers in one hour.
To do so, we will simply divide the total number of kilometers by the total time as follows:
unit rate = 875.52 / 38.4 = 22.8 km/hour
Answer:
A State - appointed professional
Step-by-step explanation:
Answer:
-$13.5
Step-by-step explanation:
Let x be a random variable of a count of player gain.
- We are told that if the die shows 3, the player wins $45.
- there is a charge of $9 to play the game
If he wins, he gains; 45 - 9 = $36
If he looses, he has a net gain which is a loss = -$9
Thus, the x-values are; (36, -9)
Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6
Thus;
E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)
E(X) = (1/6)(36 - (5 × 9))
E(X) = (1/6)(36 - 45)
E(X) = -9/6 = -3/2
E(X) = -3/2
This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5
