<h2>
Answer:</h2>
Option: A is the correct answer.
A. negative 5 over 8 minus negative 2 over 8 = negative 3 over 8; therefore, the distance from A to B is absolute value of negative 3 over 8 equals 3 over 8 units.
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Step-by-step explanation:</h2>
The location of Point A is : A(-5/8)
and Point B is located at : B(-2/8)
We know that when two points lie over a number line then the distance between the two points is the absolute difference between the two points.
If A is located at a.
and B is located at b.
Then the distance between A and B is given by:
|a-b|
Hence, here the distance between A and B is given by:
Since A and B are parallel lines, the two marked angles are congruent.
Then, 2x + 12 = x + 25
We can solve for x:
x = 13
Answer:
Step 1: Distribute 
to 
and 
Step 2: Subtract from both sides of the equation 
Step 3: Add to both sides of the equation 
Step 4: Divide both sides of the equation by 
Step-by-step explanation:
Step 1: Apply the Distributive Property. Then you must distribute to and
Then:
Step 2: You must apply the Subtraction property of Equality and subtract from both sides of the equation. Then:
Step 3: You must apply the Addition property of Equality and add to both sides of the equation. Then:
Step 4: You must apply the Division property of Equality and divide both sides by . Then:
Answer:
Step-by-step explanation:
To prove: The sum of a rational number and an irrational number is an irrational number.
Proof: Assume that a + b = x and that x is rational.
Then b = x – a = x + (–a).
Now, x + (–a) is rational because addition of two rational numbers is rational (Additivity property).
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.
Hence, the sum of a rational number and an irrational number is irrational.
