Question
Given that ABCD is a rectangle with AO=4x−3 and BO=5x−10 what is the value of x?
Answers
Answered by
GPT 3.5
Since ABCD is a rectangle, opposite sides are equal in length. Therefore, AO = BO.
Therefore, we have:
4x - 3 = 5x - 10
To solve for x, we need to isolate the x term. Let's subtract 4x from both sides of the equation:
4x - 4x - 3 = 5x - 4x - 10
This simplifies to:
-3 = x - 10
Next, let's add 10 to both sides of the equation:
-3 + 10 = x - 10 + 10
This simplifies to:
7 = x
So, the value of x is 7.
Therefore, we have:
4x - 3 = 5x - 10
To solve for x, we need to isolate the x term. Let's subtract 4x from both sides of the equation:
4x - 4x - 3 = 5x - 4x - 10
This simplifies to:
-3 = x - 10
Next, let's add 10 to both sides of the equation:
-3 + 10 = x - 10 + 10
This simplifies to:
7 = x
So, the value of x is 7.