Question

Let M be between Land N.

Let LM = 5a and LN = 30.
Let MN = 10a.
Solve for the value of the variable and MN.

Answer 1

To solve for the value of the variable a and MN, substitute the given values into the equations and solve for a. Then substitute the value of a back into the equation MN = 10a.

Step-by-step explanation:

To solve for the value of the variable and MN, we can set up the following equations:

LM = 5a

LN = 30

MN = 10a

We can substitute the value of LM and LN into the equation MN = 10a:

5a = 30 - LN

Solving for a:

a = (30 - LN) / 5

Now, we can substitute the value of a back into the equation MN = 10a:

MN = 10((30 - LN) / 5)

For example, if LN = 20, then a = (30 - 20) / 5 = 2. MN would be 10 * 2 = 20.