Triangle Angles and Cost Calculations

The video tutorial covers solving word problems involving percentage increases, calculating costs based on area, determining the number of rides based on total cost, and finding angles in a triangle. It uses algebraic manipulation and basic arithmetic to solve these problems, providing step-by-step explanations and verifications.

If your new salary is $45,000 after a 5% raise, what was your original salary?

• $45,000

• $42,857

• $43,000

• $44,000

What is the cost per square foot if it costs $250 to carpet a room that is 14 by 18 feet?

• $1.00

• $0.99

• $1.10

• $0.95

How much would it cost to carpet a room that is 9 by 10 feet, given the cost per square foot is approximately $0.992?

• $88.00

• $91.00

• $89.29

• $90.00

If the entry fee to a fair is $12 and each ride costs $1.50, how many rides can you take with a total of $24?

• 6 rides

• 8 rides

• 12 rides

• 10 rides

What is the total cost for 8 rides at the fair, including the entry fee?

• $24

• $22

• $20

• $26

In a triangle, if the second angle is twice the first and the third is three times the first, what is the measure of the first angle?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What is the measure of the second angle in the triangle problem?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

What is the measure of the third angle in the triangle problem?

• 30 degrees

• 60 degrees

• 120 degrees

• 90 degrees

What is the sum of the angles in any triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

If the first angle of a triangle is 30 degrees, what is the sum of the second and third angles?

• 150 degrees

• 120 degrees

• 60 degrees

• 90 degrees