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Gelneren [198K]
3 years ago
13

Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?

Mathematics
2 answers:
Svet_ta [14]3 years ago
5 0
The final interior angle is 127<span>°.  Pentagons' interior angles add up to 540, so you add the ones you know together, subtract the big number from 540, and you have your answer.  </span>
Alinara [238K]3 years ago
5 0
127 because when you add up 156,72,98,87 it equals 413 and for a pentagon's interior angle it equals 540 so 540-413
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The probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be
nalin [4]

Condition (A) P(B/A) = y is true.

<h3>What is probability?</h3>
  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.

To find the true condition:


If two events are independent, then:

  • Pr(A∩B) = Pr(A) . Pr(B)

Use formulas for conditional probabilities:

  • Pr(A/B) = Pr(A∩B) / Pr(B)
  • Pr(B/A) = Pr(B∩A) / Pr(A)

For independent events these formulas will be:

  • Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)
  • Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)

Now in your case, Pr(A) = x and Pr(B) = y.

  • Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.y

Therefore, condition (A) P(B/A) = y is true.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The complete question is given below:

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?

a. P(B|A) = y

b. P(A|B) = y

c. P(B|A) = x

d. P(A and B) = x + y

e. P(A and B) = x/y

5 0
1 year ago
HELP ME I WILL GIVE BRAINLIEST
lozanna [386]

Answer: 42.0

Step-by-step explanation:

4 0
2 years ago
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