2x(2x + 5)
Hope this is the answer you're looking for (:
State the given in the question
Given that the sum of a number and 3 is subtracted from, the result is 5
State what is to be found in the question
We are to find the number. In other to achieve this, we would follow the steps below:
Step 1: Represent the number with an unknown
Let x represent the number
Step 2: Interpret the given statement mathematically
If x is the number, then the sum of the number and 3 would be
![x+3](https://tex.z-dn.net/?f=x%2B3)
Then the sum of a number and 3 subtracted from 10 would be
![10-(x+3)](https://tex.z-dn.net/?f=10-%28x%2B3%29)
Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be
![10-(x+3)=5](https://tex.z-dn.net/?f=10-%28x%2B3%29%3D5)
Step 3: Solve for x in the mathematical interpretation of the given statement
The value of x is as calculated as shown below:
![\begin{gathered} 10-(x+3)=5 \\ \text{Open the bracket or the parenthesis} \\ 10-x-3=5 \\ \text{collect like terms} \\ 10-3-5=x \\ 7-5=x \\ 2=x \\ \text{Therefore:} \\ x=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2010-%28x%2B3%29%3D5%20%5C%5C%20%5Ctext%7BOpen%20the%20bracket%20or%20the%20parenthesis%7D%20%5C%5C%2010-x-3%3D5%20%5C%5C%20%5Ctext%7Bcollect%20like%20terms%7D%20%5C%5C%2010-3-5%3Dx%20%5C%5C%207-5%3Dx%20%5C%5C%202%3Dx%20%5C%5C%20%5Ctext%7BTherefore%3A%7D%20%5C%5C%20x%3D2%20%5Cend%7Bgathered%7D)
Hence, the number is 5
Angles on a straight line add up to 180°, so:
x + 60 = 180
x = 180 - 60
x = 120°
This is the answer hope this helped u