Josh's teacher draws a regular octagon on a coordinate plane. One side has endpoints at (2, 4) and (5, 4). Josh says he can't find the perimeter of the octagon because he can only find lengths of horizontal and vertical segments. He says he can't find the lengths of the slanted sides of the octagon. What mistake is Josh making? What is the perimeter of the octagon? Drag and drop the correct words and numbers into the boxes to complete the explanation. The octagon a regular octagon, so all the sides have the same length as the side whose endpoints are given.

Since that side length = vertze 5 vertze − vertze 2 vertze = units, the perimeter of the octagon is 8 × = units.

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

What is the standard deviation of the following data set rounded to the nearest tenth? 3, 17, 18, 15, 12, 21, 9

The rumpart family is building a new room onto their house. the width of the new room will be 16 feet. the length of the room will be 4% greater than the width. write an expression to find the length of the new room. what will be the area of this new room?