This proportion can be solved to find the unknown length, x, in the larger triangle. 34=7.5x Use the drop-down menus to complete the solution below.

4.5333333

Explanation:

The equation given is 34=7.5x, and we are asked to find the value of x, given that its an unknown length of a triangle. In order to find x, there is one key rule to know when working with formulas, and that is: everything that is done to one side of the equation must happen equally to the other. Why is this? Because an equation with missing values is often split in the middle by an "=" sign, which states that one side will always be equal to the other, which serves us just right when looking for a missing variable.

How do we find the value of "x"? Well, in order to single "x" out, and leave it completely alone on one side of the equation, we must get rid of the other values tied to it; in this case the value of "7.5" that is multiplying it. In order to remove it from "x" we will divide 7.5x by 7.5 which equals x, since a number divided by itself equals 1. Now, remember the rule from before: everything done to one side of the equation must happen equally to the other, therefore we must divide whatever is on the other side of the equation by 7.5, in this case 34. The result of this division ends up being 4.533333, which is the answer you must find in the drop-down menu.

4.33333 ... 34:7.5 gives the answer of 4.33333 ...