Consider the following 8 numbers, where one labelled x is unknown. 42, 47, 5, x , 18, 12, 50, 1 Given that the range of the numbers is 59, work out 2 values of x .

Explanation:

Let's assume that x is the largest value of the list. If so then x = 60 because

range = max - min

range = x - 1

range = 60-1

range = 59

Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.

So x = 60 is one possible value. We can't have x any larger or the range would be larger.

But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value

Here's why

range = max - min

range = 50 - x

range = 50 - (-9)

range = 50+9

range = 59

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.