The statement that must be true is n + b = a + c.
The correct statement among the given options is D. n + b = a + c.
Given that n < a, c > a, and b > c, we can see that the sum of n and b must be equal to the sum of a and c. This is because n + b represents the sum of the smaller numbers, while a + c represents the sum of the larger numbers, so if n + b is not equal to a + c, then the given conditions would not hold true.
For example, let's say n = 2, a = 4, c = 6, and b = 8. In this case, n + b = 2 + 8 = 10, and a + c = 4 + 6 = 10. So, the statement n + b = a + c is true.
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The value of x in the given problem is 10 degrees.
When any two straight lines intersect each other, there are different pairs of angles that are formed. The angles that are directly opposite to each other are known as opposite angles.
As we know that when two lines intersect the opposite angles are equal,
so, ∠A = ∠B
It is given that
∠A = 45°
∠B = 4x+5
So, 4x+5 = 45
4x = 40
x =10°
Therefore, The value of x in the given problem is 10 degrees.
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B. $100 + (1/12 * $100)
C. $100 + (13/12 * $100)
D. 13/12 * $100
I think B. and D. are correct because they are both equal. Could someone help me understand this, and tell if I'm right or wrong? Thanks! <3
B). Subtract 1.3 from both sides of the equation, subtract 4.6x to both sides of the equation, then divide by the coefficient of x.
C). Add 1.3 to both sides of the equation, subtract 4.6x to both sides of the equation, then divide by the coefficient of x.
D). Add 1.3 to both sides of the equation, subtract 4x to both sides of the equation, then divide by the coefficient of x.
The correct steps to solve the expression will be;
''Add 1.3 to both sides of the equation, subtract 4x to both sides of the equation, then divide by the coefficient of x.''
Option D is true.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ -1.3 + 4.6x = 0.3 + 4x
Now,
Solve the expression as;
⇒ -1.3 + 4.6x = 0.3 + 4x
Add 1.3 both side, we get;
⇒ -1.3 + 4.6x + 1.3 = 0.3 + 4x + 1.3
⇒ 4.6x = 1.6 + 4x
Subtract 4x both side,
⇒ 4.6x - 4x = 1.6 + 4x - 4x
⇒ 0.6x = 1.6
Divide by 0.6,
⇒ x = 2.67
Thus, The correct steps to solve the expression will be;
''Add 1.3 to both sides of the equation, subtract 4x to both sides of the equation, then divide by the coefficient of x.''
Option D is true.
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Answer:
This is a deductive reasoning.
Step-by-step explanation:
Every statement like 60 seconds are in a minute, and 60 minutes are in a hour, and 24 hours are in a day is a premise. The conclusion is that there are 86,400 seconds in a day, which comes from: 24 hours / day * 60 minutes / hour * 60 second / minute = 86,400 second / day.
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A) no triangle
B) a unique triangle
C) more than one triangle
D) the answer cannot be determined
Answer:
I took the test recently and i got the answers, it is B.
Step-by-step explanation:
Answer is 3000.
Explanation;
The given number is 3489.
Before rounding off the given number we should know the place values of the digits. Here,
ones - 9
tens - 8
hundreds - 4
thousands - 3
In this problem, we have to round off the given number to nearest thousand.
Before that, we should look at the digit at the hundreds place.
If that digit is equal or more than 5, we should add 1 to the digit in thousands place unless keep the digit same as it.
Here, 4 is the digit which is before thousands place. 4 is less than 5. Hence, we can keep the digit in thousands place as unchanged.
Hence, rounded off number to nearest thousand is 3000.