In the diagram below, given that XY = 3cm, XZY = 30° and YZ = x, is it possible to solve for x using the theorem of Pythagoras? Motivate your
answer.
X
3 cm
30°
Y
Z​

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Consider the market for gasoline. suppose that, in a competitive market without government regulations, the equilibrium price of gasoline is $3.00 per gallon, and employees at gas stations earn $17.50 per hour. complete the following table by indicating whether each of the statements is an example of a price ceiling or a price floor and whether it results in a shortage or a surplus or has no effect on the price and quantity that prevail in the market. statement price control effect the government has instituted a legal minimum price of $3.40 per gallon for gasoline. the government prohibits gas stations from selling gasoline for more than $3.40 per gallon. due to new regulations, gas stations that would like to pay better wages in order to hire more workers are prohibited from paying more than $14.50 per hour.

Gwen, a manager at exude apparels inc., received a message from a customer requesting a replacement for a purchased pair of shoes. exude apparels has a clearly stated no-return policy. gwen responded to the customer denying the request in a tactful and clear manner. despite this, the customer submitted a second request. in this scenario, which of the following is an appropriate response to the second request?