An employee took 5 vacation days bringing his new vacation day balance to 8 days. Which equation can be used to find, x, the number of vacation days the employee had before using 5 vacation days?

Step-by-step explanation:

Given

Required

Determine the equation to find initial days of vacation

This is represented with x.

To get a total of 8 days vacation, we must have the following expression.

Substitute values for initial days, additional days and total. So, we have

Hence, the required expression is:

angles 1 and 3 are vertical angles, meaning that they are equal to each other. to solve this you may set angle 1 and 3 equal to each other and just solve for x like

110 = 2x + 10

100 = 2x

50 = x

check:

110 = 2* 50 + 10

110 = 100 + 10

110 = 110

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