Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.
The statement wants us to prove;
(x+1)²-x²=x+(x+1) <-- solve left hand side
x²+x+x+1²-x²
2x+1 (solution for left hand side)
Now solve for right hand side.
x+(x+1)= 2x+1
As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.
Hope I helped :)
The angle = 360° * 0.67 = 241.2
And by rounding to the nearest degree = 241°
The correct choice is number 4
Answer:
There were 15 fans that were wearing hats
Step-by-step explanation:
Answer:
(b)The original price of the shoes is $60.
Explanation:
Part A
In this situation:
• 15% is the PERCENT
,
• $9 is the PART
,
• The original price is the WHOLE.
Part B
If 15% is taken off, the customer will save $9.
This means that 15% of the original price = $9.
Let the original price=p

The original price of the shoes is $60.