Question

If m∠CBF = 6x + 18, find the value of x so that segment is perpendicular to segment .

Answer 1

To determine the value of x that makes CB perpendicular to BF in a geometric problem, we solve the equation 6x + 18 = 90 to find that x = 12.

Step-by-step explanation:

To find the value of x that would make segment CB perpendicular to segment BF, we need to understand that the angle formed by these segments would be a right angle if they are perpendicular. In geometry, a right angle is 90 degrees. Therefore, we set the equation m∠CBF = 6x + 18 equal to 90 degrees. To solve, we'd follow these steps:

1. Set the angle measure equal to 90 degrees: 6x + 18 = 90.
2. Subtract 18 from both sides to isolate the term with x: 6x = 72.
3. Divide both sides by 6 to solve for x: x = 12.

The value of x that makes segment CB perpendicular to segment BF is 12.