since segment KL and segment LM are congruent, set up an equation to solve for x. What is the value of x?
K (5x-4) L (3x+12) M
if KL = LM
then
(5x-4) = 3x+12
isolate x on the left
5x-3x = 12 + 4
can you continue?
To set up an equation to solve for x, you need to equate the lengths of segment KL and segment LM since they are congruent.
The length of segment KL is represented by (5x - 4), and the length of segment LM is represented by (3x + 12).
Therefore, you can set up the equation:
(5x - 4) = (3x + 12)
Now, you can solve for x using algebraic methods:
1. Start by simplifying the equation on both sides:
5x - 4 = 3x + 12
2. To solve for x, you can bring all the terms containing x to one side of the equation by subtracting 3x from both sides:
5x - 3x - 4 = 3x - 3x + 12
2x - 4 = 12
3. Next, isolate x by moving the constant term (-4) to the other side of the equation by adding 4 to both sides:
2x - 4 + 4 = 12 + 4
2x = 16
4. Finally, solve for x by dividing both sides of the equation by 2:
2x/2 = 16/2
x = 8
Therefore, the value of x that satisfies the equation is 8.