Answer:
- ∠1 +∠2 +∠3 = 180°
- ∠1 +∠2 = ∠4
Step-by-step explanation:
The sum of the measures of the angles in a triangle is 180°. The equation relating angles 1, 2, 3 will reflect this fact.
m∠1 +m∠2 +m∠3 = 180°
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Of course, angle 3 is supplementary to angle 4, so we have ...
m∠3 +m∠4 = 180°
Substituting this expression for 180° in the first equation, we have ...
m∠1 +m∠2 +m∠3 = m∠3 +m∠4
Subtracting ∠3 from both sides, we are left with an equation relating angles 1, 2 and 4.
m∠1 +m∠2 = m∠4
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The "rule" expressing this last relationship is, "an exterior angle is equal to the sum of the remote interior angles." Knowing this relation can make a number of problems easier to solve.
Answer:
Sammy is expected to lose $1.39 on average per roll
Step-by-step explanation:
Since Sammy is rolling two six-sided cubes, the number of possible outcomes is given by:
6 x 6 =36
Out of those 36 outcomes, only two would result in a sum of 3, rolling a 1 and 2 or a 2 and a 1. Therefore, the probability of winning (P(W)) and the probability of losing (P(L)) are:
The expected value is defined as the sum of the product of the likelihood of each event by its payout:
Sammy is expected to lose $1.39 on average per roll.
Answer:
i wish i new srry
Step-by-step explanation:
Answer:
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