Question

A man (M) is standing halfway between a tree (T) and a lamppost (L). What is the value of x?

T= (9x-2)m
L= (5x + 18) m

Answer 1

The value of x is 5.

Step-by-step explanation:

Let's set up an equation to solve for x. The man is standing halfway between the tree and the lamppost, so the distance from the tree to the man is x and the distance from the man to the lamppost is also x.

Therefore, we have:

T = (9x - 2) meters

L = (5x + 18) meters

Since the man is standing halfway, we can set up the equation:

9x - 2 = 5x + 18

Now, we can solve for x:

9x - 5x = 18 + 2

4x = 20

x = 20/4

x = 5

Therefore, the value of x is 5.