Explanation

We'll look at the differences between terms:

5 − 2 = 3

10 − 5 = 5

17 − 10 = 7

26 − 17 = 9

So the differences are: 3, 5, 7, 9 → increasing by 2 each time (an arithmetic sequence).

The next difference should be: 11

Now add 11 to the last term:

26 + 11 = 37

Explanation

 The term "Iron Curtain" primarily referred to the division between West Germany and East Germany

During the Cold War, the Iron Curtain was a political metaphor

Used to describe the political and physical boundary dividing Europe into two separate areas from the end of World War II in 1945 until the end of the Cold War in 1991

Explanation

Let the two integers be $x$ and $y$ where $x=-48$.

We are given that the sum of the two integers is 75:

$$x+y=75$$

Substitute $x = -48$

$$-48 + y = 75$$

Now, solve for $y$:

$$y = 75 + 48$$ $$y = 123$$

Explanation

The Battle of Hastings[a] was fought on 14 October 1066 

Between the:

• Norman-French army of William,
• Duke of Normandy,
• English army under the Anglo-Saxon King Harold Godwinson,

Beginning the Norman Conquest of England.

It took place approximately 7 mi (11 km) northwest of Hastings,

Explanation

To calculate average speed, use the formula:

Average Speed=Total Distance/Total Time​

Given:

• Total Distance = 60 km

• Total Time = 2 hours

Now, substitute these values into the formula:

$$text{Average Speed} = frac{60}{2} = 30 , text{km/h}$$

Explanation

 The BODMAS rule dictates the order of operations:

• Brackets,
• Orders (powers/roots),
• Division and Multiplication (from left to right),
• Addition and Subtraction (from left to right).

Therefore, operations within brackets are the first to be solved

Explanation

1. Increase by 20%:

   $$100+20\%\text{ of }100=100+20=120$$

2. Apply a 25% discount on the increased price:

   $$25$$

So, the final price is 90, and the original was 100.

3. Net percentage change:

   $$frac{90 - 100}{100} times 100 = -10$$

Explanation

Direct object: a message 

Indirect object: her (the person receiving the message) 

Explanation

 This type of information is specific information because it provides a precise fact or detail (e.g., population number)

Explanation

 To avoid repetition of words, it’s useful to use synonyms to vary language while maintaining clarity and meaning