Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,
According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,
Putting the value of x from above equation in equation (1),
Now put the value of y in equation (1), so,
So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
Answer:
The question is quite literally the answer since they aren't the same kind, they can't be reduced anymore. Hope that helps!
Step-by-step explanation:
8x will equal 4 because i multiplied both together.<span />
Answer:
The value of P(A∩B) = 143/400 ⇒ answer D
Step-by-step explanation:
* Lets explain how to solve the problem
- P(B|A) is called the "Conditional Probability" of B given A
- Conditional probability is the probability of one event occurring
with some relationship to one or more other events
- That means event A has already happened, now what is the
chance of event B
- The formula for conditional probability is P(B|A) = P(A and B)/P(A)
- You can also write it as P(B|A) = P(A∩B)/P(A) because,
P(A and B) = P(A∩B)
∵ P(A) = 11/20
∵ P(B|A)= 13/20
∵ P(B|A) = P(A∩B)/P(A)
- Substitute the values of P(A) and P(B|A) in the rule
∴ 13/20 = P(A∩B)/(11/20)
- Multiply both sides by 11/20
∴ (13/20) × (11/20) = P(A∩B)
∴ 143/400 = P(A∩B)
* The value of P(A∩B) = 143/400