Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
Answer:
364
Step-by-step explanation:
Answer:
I think it is C
Step-by-step explanation:
ANSWER
EXPLANATION
We want to calculate the value of the angle marked z° in the diagram.
Since the given diagram is a right angle triangle, one of the angles is 90°.
The sum of the angles in a triangle is 180°.
This implies that,
We group like terms to obtain,
We simplify to obtain,
Answer:
Step-by-step explanation:
The probability of asking for the cherries flambe and dying, P(A) = 0.5 × 0.6 = 0.3
The probability of asking for the chocolate mousse and dying, P(A) = 0.4 × 0.9 = 0.36
The probability of skipping dessert altogether = 0.1 × 0 = 0
The probability that the rich uncle dies, P(D) is
P(D) = 0.3 + 0.36 + 0 = 0.66
To determine the prime suspect, we would apply the concept of conditional probability. It is the probability of an event, A occurring given that event B has occurred. We would compare probabilities of the events A and B occurring given that event D also occurred
Therefore,
P(A|D) = 0.3/0.66 = 0.45
P(B|D) = 0.36/0.66 = 0.55
Therefore, the prime suspect is Margo because his probability is higher
