The missing justification in the proof is
<span>B) Substitution property of equality
The expression for sin</span>² x and cos² x is substituted to the other side of the equation. Since sin x = a/c, then sin² x = a²/c². Similarly, since cos x = b/c, then cos² x = b²/c². Adding to two results to the third statement.
The two angles shown are vertical angles. They form when you cross two lines. They are opposite one another. Note: They don't have to be vertically up and down in relation to each other. It's possible to have them horizontally side by side like this.
So because they are vertical angles, they are congruent. This means they are equal in measure
x+90 = 4x
x+90-x = 4x-x
90 = 3x
3x = 90
3x/3 = 90/3
x = 30
Therefore the answer is choice C) The value of x is x = 30
We can check it by plugging this into the original equation above
x+90 = 4x
30+90 = 4*30
120 = 120
our answer checks out
Answer: log(x)+log(y)
Step-by-step explanation:
Answer:
1:10 PM.
Step-by-step explanation:
If the meeting started at 12:15, it took 45 minutes to get to 1PM, however it lasted 10 minutes longer than that (55 minutes total). If 10 minutes of the meeting remains at 1PM, the meeting ended at 1:10PM. Therefore, 55 minutes after 12PM is 1:10PM.
Answer: discrete.
Step-by-step explanation:
Discrete variable
It is a variable whose value is evaluated by counting.
Example: Number of books published in a month.
Continuous variable
It is a variable whose value is evaluated by measuring ( not countable).
Example: Distance: 1.52 m
Since the number of dental visits a randomly chosen person had for the past 5 years is a countable.
here, Variable: Let X =number of dental visits a randomly chosen person had for the past 5 years
So, the random variable described is discrete.
