How to solve for x in geometry ? for example - there is a line segment with 3 points first point to the second point is 3x while second point to the third is 5 and below the line segment there is a bracket, it is named 14 . it starts from the 3x to 5 ( it ranges from the first point down to the 3rd.
To solve for x in this geometry problem, we need to use the information given about the line segment and the bracket. Let's break down the steps:
Step 1: Understand the given information
We have a line segment with three points: the first point (let's call it A), the second point (B), and the third point (C). The distance between point A and point B is given as 3x, and the distance between point B and point C is given as 5. Below the line segment, there is a bracket that ranges from the first point (A) down to the third point (C), and it is labeled as 14.
Step 2: Set up the equation
Since the distance between point A and point B is given as 3x, we can represent it as AB = 3x. Similarly, the distance between point B and point C is given as 5, so we can represent it as BC = 5. We know that the total distance from point A to point C is 14, so we can write it as AC = 14.
Step 3: Set up the equation based on the given information
Since we want to solve for x, we need to relate the lengths AB, BC, and AC. Notice that AC can be expressed as the sum of AB and BC: AC = AB + BC.
Step 4: Solve the equation
Substituting the given values, we get:
14 = 3x + 5
To solve for x, we isolate the variable on one side by subtracting 5 from both sides of the equation:
14 - 5 = 3x
9 = 3x
Finally, divide both sides by 3 to solve for x:
9/3 = x
3 = x
Therefore, x has a value of 3 in this geometry problem.