Answer:
Step-by-step explanation:
1) ∠1 + ∠2 = 180 {linear pair}
105 +∠2 = 180
∠2 = 180 - 105
∠2 = 75°
Reason: Linear pair
2) ∠3 = ∠1 {Vertically opposite angles are congruent}
∠3 = 105
Reason: Vertically opposite angles are congruent
Answer:
4 by 2
Step-by-step explanation:
you can basically guess and check with this question but I knew if it was a rectangle then 2 sides would be larger than the other. So I started off figuring out what times what equals 8 and I got 2 and 4. So I put those in for the side lengths and I got 12.
Answer:
The expected value of playing the game is $0.75.
Step-by-step explanation:
The expected value of a random variable is the weighted average of the random variable.
The formula to compute the expected value of a random variable <em>X</em> is:

The random variable <em>X</em> in this case can be defined as the amount won in playing the game.
The probability distribution of <em>X</em> is as follows:
Number on spinner: 1 2 3 4 5 6
Amount earned (<em>X</em>): $1 $4 $7 $10 -$8.75 -$8.75
Probability: 1/6 1/6 1/6 1/6 1/6 1/6
Compute the expected value of <em>X</em> as follows:





Thus, the expected value of playing the game is $0.75.