The act of transforming (or manipulating) data is permissible because the same rule is applied to all data in a given set. In other words, you're not just transforming some of your data while leaving other data points alone. The same concept appears in algebra when isolating a variable to solve a given equation. As long as each step applies the same rule to both sides of the equation, it is permissible. Even driving safely by car is possible because all drivers agree to drive on the same side of the road. Can you think of two other examples where a similar logic might apply?

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.

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.