In rectamhle ABCD, diagonals AC and BD intersect at E. if AC=36 and BD=2x+30, find x.
Since the diagonals of a rectangle are equal,
2x+30 = 36
x = 3
To find the value of x, we can use the fact that the diagonals of a rectangle are equal in length.
In this case, we are given that AC = 36, and BD = 2x + 30. Since BD is a diagonal of the rectangle, it must be equal to 36 as well.
Therefore, we can set up an equation:
2x + 30 = 36
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 30 from both sides:
2x = 36 - 30
2x = 6
Finally, we divide both sides of the equation by 2 to solve for x:
x = 6 / 2
x = 3
So, the value of x is 3.