An equilateral triangle and a square are inscribed in a circle as shown. is isosceles. The triangle and square share a common vertex. What is the number of degrees in the measure of the angle indicated by the question mark?

Guest May 18, 2020

#2**0 **

A merchant offers a large group of items at off. Later, the merchant takes off these sale prices and claims that the final price of these items is off the original price. As a percentage of the original price, what is the difference between the true discount and the merchant's claimed discount? (Your answer should be a positive difference.)

Guest May 18, 2020

#4**0 **

A merchant offers a large group of items at 30% off. Later, the merchant takes 20% off these sale prices and claims that the final price of these items is 50% off the original price. As a percentage of the original price, what is the difference between the true discount and the merchant's claimed discount? (Your answer should be a positive difference.)

Guest May 18, 2020

#5**0 **

A merchant offers a large group of items at 30% off. Later, the merchant takes 20% off these sale prices and claims that the final price of these items is 50% off the original price. As a percentage of the original price, what is the difference between the true discount and the merchant's claimed discount? (Your answer should be a positive difference.)

Guest May 18, 2020

#6**+2 **

So we have an item price x, and 30% off means the price is 0.7x, and another 20% off is 0.7 * 0.8x = 0.56x.

So I'm pretty sure it's 56 percent, so 56-50 = 6%.

If x is 100, the first discount makes it 70, and the second 0.8 * 70 = 56.

If you don't understand anything feel free to ask!

hugomimihu
May 18, 2020