Show by a rough sketch that there are four points which are at a distance of 2cm from the given line AB and 3cm from the point A.

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The triangles are similar. what is the value of x? enter your answer in the box.

Abank manager wants to encourage new customers to open accounts with principals of at least $2 comma 500. he decides to make a poster advertising a simple interest rate of 3%. what must the principal be if the bank manager also wants to advertise that one can earn $10 the first month? can the poster correctly say, "open an account of $2 comma 500 and earn at least $10 interest in 1 month! "?

Arectangle is 8cm longer then it is wide, and it’s area is 153cm^2. find the dimensions of the rectangle.