To answer this question, we need a strong understanding of what "contrapositive" means:
The contrapositive of a conditional statement flips the hypothesis and conclusion, and makes both negative.
Here is an example:
Conditional Statement: If I am sick, then I stay home from school.
Hypothesis: I am sick, Conclusion: I stay home from school
Contrapositive: If I do not stay home from school, I am not sick.
What would be the contrapositive in our conditional statement?
Conditional Statement: <span>If an angle is a right angle, then the angle measures 90°
Contrapositive: If the angle does not measure 90</span>°, then the angle is not a right angle.
In this case, both the conditional statement and the contrapositive are true. We know this because a 90° angle and a right angle are the same thing.
The answer is $25.
x - the price of an adult ticket
y - the price of a child ticket
The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86
This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
2x + 3y = 86
____
-2x - 2y = -74
2x + 3y = 86
____
Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
____
Substitute y in the first equation to find x:
2x + 2 * 12 = 74
2x + 24 = 74
2x = 74 - 24
2x = 50
x = 50/2
x = 25
So, the price of the adult ticket is $25 and the price of the child ticket is $12.
Answer: No
Step-by-step explanation: Complementary angles are those that add up to 90 degrees, 47 + 53 equals to 100.
Using a tree diagram you can see that the probability is 1/(7^7) or 1/823543. This is about 0.0001%
Answer:
Choice C.
Step-by-step explanation:
3rd degree means that the expression must have power of 3 as the highest power.
So, choice b is wrong since it has highest power of 8. All the other choices have highest power of 3.
Binomial means expression that has two terms.
So, choices d and a are wrong because they have 3 terms each.
So, choice C is correct answer and also it has constant as 8.