<h2>HOW TO: SOLVE AN APPLICATION</h2>
Step 1. Identify what you are asked to find and choose a variable to represent it.
Step 2. Write a sentence that gives the information to find it.
Step 3. Translate the sentence into an equation.
Step 4. Solve the equation using good algebra techniques.
Step 5. Check the answer in the problem and make sure it makes sense.
Step 6. Write a complete sentence that answers the question.
Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.
Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See Figure 6.7. The sales tax is determined by computing a percent of the purchase price.
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
Answer: 14.4
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Work Shown:
Use the angle bisector theorem to divide each side adjacent to the congruent angles (x and 13.5) over their corresponding sides that are adjacent to those previously mentioned sides.
So in short we have x/6.6 as one ratio, and 13.5/6.2 as another
Equate the two fractions, cross multiply, solve for x.
x/6.6 = 13.5/6.2
x*6.2 = 6.6*13.5 ... cross multiply
6.2x = 89.1
6.2x/6.2 = 89.1/6.2 .... divide both sides by 6.2
x = 14.371 which is approximate
x = 14.4
Answer:
2
Step-by-step explanation:
