3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17
Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
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78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
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<em>Additional comment</em>
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
Answer:
(a) If r is any rational number and s is any irrational number, then r/s is rational
(b) The statement is false when r is 0
Step-by-step explanation:
Given
rational number
irrational number
irrational number
Solving (a): The negation
To get the negation of a statement, we only need to negate the end result
In other words, the number type of r and s will remain the same, but r/s will be negated.
So, the negation is:
rational number
irrational number
rational number
Solving (b): When r/s is irrational is false
Given that:
irrational number
Set r to 0
So:

-- rational
<em>Hence, the statement is false when r is 0</em>
Answer: c. Nominal
Step-by-step explanation:
Level of measurement determines the nature of description .
The four levels of measurements scales are
1. Nominal scale
- Categorize the data on the basis of the quality such as Gender, color, etc.
2. Ordinal scale
- Order attributes according to their ranks. For example : 1 < 2 < 3 .
3. Interval scale
- Describe the feature of the difference between any two categories. For example : Fahrenheit scale to measure temperature.
4. Ratio scale
- Consist of the features of nominal, ordinal, and interval measures but in includes a "true zero" point.
For example : Age.
∴ A<u> nominal</u> variable is a qualitative variable such that there is no meaningful ordering or ranking of the categories.
Hence, the correct answer is c. Nominal .
The plane would travel 2550 miles