1. find the length of the leg, x. if your answer is not an integer, leave it in simplest radical form (picture 1)

2. a triangle has sides of lengths 27, 79, and 84. is it a right triangle? explain.

a.) yes. 27^2 + 79^2 = 84^2
b.) yes. 27^2 + 79^2 ≠ 84^2
c.) no. 27^2 + 79^2 = 84^2
d.) no. 27^2 + 79^2 ≠ 84^2

/is used for a fraction 1) if x = 2/3 and y = 3/4, what is the value of (x + y) (x/y) expressed as a common fraction? 2) what is the least positive integer greater than 1 that leaves a remainder of 1 when divided by each of 2, 3, 4, 5, 6, 7, 8, and 9? 3) the ponde family's powerjet pumps 420 gallons of water per hour. at this rate, how many gallons of water will it pump in 45 minutes? 4) kim's insurance company pays 80% of the cost of all prescription medication she purchases in a year beyond the first $250 worth of prescriptions. her prescriptions for this year cost a total of $570. how many dollars of this amounts will kim's insurance company pay?

Alicense plate is to consist of 44 digits followed by 55 uppercase letters. determine the number of different license plates possible if the first and second digits must be? odd, and repetition is not permitted.

You eat 8 strawberries and your friend eats 12 strawberries from a bowl. there are 20 strawberries left. which equation and solution give the original number of strawberries?