Suppose that a statistics teacher ask a few student the number of hours they studied per week doing a week and the grade on the exam. He put it in the following table. Hours studying 1/21121/234 Test Grade707982896592100 Determine the correlation coefficient. (round-off to 4 decimal place)

1. use commutative property to reorder the terms.2x+81=0.2. move the constant to right side by adding its opposite on both sides. 2x+81-81=0-81.2x=(-81).3. divide the equation on both sides.2x ÷ 2 = 81 ÷ 2.x = -81/2. your answer is -81/2. if you need to simplify it into a decimal, it’s -40.5.

To begin, it's a resizing (or more specifically, a dilation), which means all the angles are still the same, so all of the sides and such are still in proportion. because similar objects are said to have corresponding sides and angles, and the shapes follow that rule, they are similar.you could even create the same shape if you divide all of the sides of the first shape by 2 and translating it.to summarize: they contain the same angles and the proportions of the sides, so they're similar.